随机性检测工具 GM/T 00005-2021

工具截图
下载RandTest.exe

测试数据:

1. e百万比特

参数:
 1 C1
 2 C2: 10000
 3 C3: 4
 4 C3: 8
 5 C4 1: 3
 6 C4 2: 3
 7 C4 1: 5
 8 C4 2: 5
 9 C5
10 C6
11 C7 1
12 C7 0
13 C8: 3
14 C8: 7
15 C9: 1
16 C9: 2
17 C9: 8
18 C9: 16
19 C10
20 C11 FORWARD
21 C11 REVERSE
22 C12: 2
23 C12: 5
24 C13: 500
25 C13: 1000
26 C14
27 C15
测试项数: 27
--------------------------------------------------------------------------------
FILE = data.e    ALPHA = 0.0100    ALPHAT = 0.0001
BITSREAD = 1000000 0s = 499971 1s = 500029
________________________________________________________________________________
        1 单比特频数检测  FREQUENCY TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) sum     = 58
        (b) V       = 0.058000
        ---------------------------------------------
通过    p_value = 0.953749  q_value = 0.476874
________________________________________________________________________________
        2 块内频数检测  BLOCK FREQUENCY TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V                = 93.032400
        (b) # of substrings  = 100
        (c) block length     = 10000
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.676227  q_value = 0.676227
________________________________________________________________________________
        3 扑克检测  POKER TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V           = 12.301312
        (b) # of substrings = 250000
        (c) block length    = 4
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.656094  q_value = 0.656094
________________________________________________________________________________
        3 扑克检测  POKER TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V           = 301.587968
        (b) # of substrings = 125000
        (c) block length    = 8
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.023947  q_value = 0.023947
________________________________________________________________________________
        4 重叠子序列检测  SERIAL TEST
        ---------------------------------------------
         中间值:       
        ---------------------------------------------
        (a) Block length    (m) = 3
        (b) Sequence length (n) = 1000000
        (c) Psi_m               = 2.564416
        (d) Psi_m-1             = 0.343128
        (e) Psi_m-2             = 0.003364
        (f) Del_1               = 2.221288
        (g) Del_2               = 1.881524
        ---------------------------------------------
通过    p_value1 = 0.695134  q_value1 = 0.695134
通过    p_value2 = 0.390330  q_value2 = 0.390330
________________________________________________________________________________
        4 重叠子序列检测  SERIAL TEST
        ---------------------------------------------
         中间值:       
        ---------------------------------------------
        (a) Block length    (m) = 5
        (b) Sequence length (n) = 1000000
        (c) Psi_m               = 27.233920
        (d) Psi_m-1             = 7.356288
        (e) Psi_m-2             = 2.564416
        (f) Del_1               = 19.877632
        (g) Del_2               = 15.085760
        ---------------------------------------------
通过    p_value1 = 0.225783  q_value1 = 0.225783
通过    p_value2 = 0.057499  q_value2 = 0.057499
________________________________________________________________________________
        5 游程总数检测 RUNS TEST
        ------------------------------------------
        中间值:
        ------------------------------------------
        (a) Pi                        = 0.500029
        (b) V_n_obs (Total # of runs) = 499710
        (c) V_n_obs - 2 n pi (1-pi)
            -----------------------   = -0.579997
              2 sqrt(n) pi (1-pi)
        ------------------------------------------
通过    p_value = 0.561917  q_value = 0.719042
________________________________________________________________________________
        6 游程分布检测  RUNS DISTRIBUTION TEST
        ------------------------------------------
        中间值:
        (a) k = 15
        (b) T = 499710
        (c) V = 22.190166
        ------------------------------------------
通过    p_value = 0.772412  q_value = 0.772412
________________________________________________________________________________
        7 块内最大1游程检测  LONGEST RUNS OF ONES TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) N (# of substrings)  = 100
        (b) M (Substring Length) = 10000
        (c) Chi^2                = 3.691400
        ---------------------------------------------
              F R E Q U E N C Y
        ---------------------------------------------
        <=10  11  12  13  14  15 >=16 P-value  Assignment
          11  18  23  16  16   9    7 
通过    p_value = 0.718355  q_value = 0.718355
________________________________________________________________________________
        7 块内最大0游程检测  LONGEST RUNS OF ZEROS TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) N (# of substrings)  = 100
        (b) M (Substring Length) = 10000
        (c) Chi^2                = 5.870427
        ---------------------------------------------
              F R E Q U E N C Y
        ---------------------------------------------
        <=10  11  12  13  14  15 >=16 P-value  Assignment
           7  18  27  27  12   5    4 
通过    p_value = 0.437861  q_value = 0.437861
________________________________________________________________________________
        8 二元推导检测  BinaryDerivative TEST
        ------------------------------------------
        中间值:
        (a) k = 3
        (b) V = -0.811001
        ------------------------------------------
通过    p_value = 0.417365  q_value = 0.791318
________________________________________________________________________________
        8 二元推导检测  BinaryDerivative TEST
        ------------------------------------------
        中间值:
        (a) k = 7
        (b) V = -0.305001
        ------------------------------------------
通过    p_value = 0.760365  q_value = 0.619817
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 1
        (b) A = 499709
        (c) V = -0.581000
        ---------------------------------------------
通过    p_value = 0.561240  q_value = 0.719380
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 2
        (b) A = 500190
        (c) V = 0.382000
        ---------------------------------------------
通过    p_value = 0.702461  q_value = 0.351231
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 8
        (b) A = 500461
        (c) V = 0.930004
        ---------------------------------------------
通过    p_value = 0.352369  q_value = 0.176185
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 16
        (b) A = 499937
        (c) V = -0.110001
        ---------------------------------------------
通过    p_value = 0.912409  q_value = 0.543796
________________________________________________________________________________
        10 矩阵秩检测  RANK TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) Probability P_32 = 0.288800
        (b)             P_31 = 0.577600
        (c)             P_30 = 0.133600
        (d) Frequency   F_32 = 280
        (e)             F_31 = 581
        (f)             F_30 = 115
        (g) # of matrices    = 976
        (h) Chi^2            = 2.358278
        (i) NOTE: 576 BITS WERE DISCARDED.
        ---------------------------------------------
通过    p_value = 0.307543  q_value = 0.307543
________________________________________________________________________________
        11 前向累加和检测  CUMULATIVE SUMS (FORWARD) TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) The maximum partial sum = 956
        -------------------------------------------
通过    p_value = 0.669886  q_value = 0.669886
________________________________________________________________________________
        11 后向累加和检测  CUMULATIVE SUMS (REVERSE) TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) The maximum partial sum = 898
        -------------------------------------------
通过    p_value = 0.724265  q_value = 0.724265
________________________________________________________________________________
        12 近似熵检测  APPROXIMATE ENTROPY TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) m (block length)    = 2
        (b) n (sequence length) = 1000000
        (c) Chi^2               = 2.221425
        (d) Phi(m)              = -1.386294
        (e) Phi(m+1)            = -2.079440
        (f) ApEn                = 0.693146
        (g) Log(2)              = 0.693147
        --------------------------------------------
通过    p_value = 0.695109  q_value = 0.695109
________________________________________________________________________________
        12 近似熵检测  APPROXIMATE ENTROPY TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) m (block length)    = 5
        (b) n (sequence length) = 1000000
        (c) Chi^2               = 34.216936
        (d) Phi(m)              = -3.465722
        (e) Phi(m+1)            = -4.158852
        (f) ApEn                = 0.693130
        (g) Log(2)              = 0.693147
        --------------------------------------------
通过    p_value = 0.361688  q_value = 0.361688
________________________________________________________________________________
        13 线性复杂度检测  LINEAR COMPLEXITY
        -----------------------------------------------------
        M (substring length)     = 500
        N (number of substrings) = 2000
        Note: 0 bits were discarded!
        -----------------------------------------------------
                F R E Q U E N C Y                            
        -----------------------------------------------------
          C0   C1   C2   C3   C4   C5   C6          V   P-value   Q-value
        -----------------------------------------------------
          21   52  250 1006  492  135   44   2.860066  0.826194  0.826194
________________________________________________________________________________
        13 线性复杂度检测  LINEAR COMPLEXITY
        -----------------------------------------------------
        M (substring length)     = 1000
        N (number of substrings) = 1000
        Note: 0 bits were discarded!
        -----------------------------------------------------
                F R E Q U E N C Y                            
        -----------------------------------------------------
          C0   C1   C2   C3   C4   C5   C6          V   P-value   Q-value
        -----------------------------------------------------
          11   31  116  501  258   57   26   2.706147  0.844721  0.844721
________________________________________________________________________________
        14 Maurer通用统计检测  UNIVERSAL STATISTICAL TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) L         = 7
        (b) Q         = 1280
        (c) K         = 141577
        (d) sum       = 877667.758407
        (e) sigma     = 0.002768
        (f) variance  = 3.125000
        (g) exp_value = 6.196251
        (h) V         = 1.074569
        (i) WARNING:  1 bits were discarded.
        -----------------------------------------
通过    p_value = 0.282568  q_value = 0.141284
________________________________________________________________________________
        15 离散傅立叶检测  DFT TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) Percentile = 95.004200
        (b) N_l        = 475021.000000
        (c) N_o        = 475000.000000
        (d) V          = 0.187830
        -------------------------------------------
通过    p_value = 0.851010  q_value = 0.425505
--------------------------------------------------------------------------------
    No.       P         Q
test  1 ----------------------------------------
 1     0.953749, 0.476874
test  2 ----------------------------------------
 1     0.676227, 0.676227
test  3 ----------------------------------------
 1     0.656094, 0.656094
test  4 ----------------------------------------
 1     0.023947, 0.023947
test  5 ----------------------------------------
 1     0.695134, 0.695134
test  6 ----------------------------------------
 1     0.390330, 0.390330
test  7 ----------------------------------------
 1     0.225783, 0.225783
test  8 ----------------------------------------
 1     0.057499, 0.057499
test  9 ----------------------------------------
 1     0.561917, 0.719042
test 10 ----------------------------------------
 1     0.772412, 0.772412
test 11 ----------------------------------------
 1     0.718355, 0.718355
test 12 ----------------------------------------
 1     0.437861, 0.437861
test 13 ----------------------------------------
 1     0.417365, 0.791318
test 14 ----------------------------------------
 1     0.760365, 0.619817
test 15 ----------------------------------------
 1     0.561240, 0.719380
test 16 ----------------------------------------
 1     0.702461, 0.351231
test 17 ----------------------------------------
 1     0.352369, 0.176185
test 18 ----------------------------------------
 1     0.912409, 0.543796
test 19 ----------------------------------------
 1     0.307543, 0.307543
test 20 ----------------------------------------
 1     0.669886, 0.669886
test 21 ----------------------------------------
 1     0.724265, 0.724265
test 22 ----------------------------------------
 1     0.695109, 0.695109
test 23 ----------------------------------------
 1     0.361688, 0.361688
test 24 ----------------------------------------
 1     0.826194, 0.826194
test 25 ----------------------------------------
 1     0.844721, 0.844721
test 26 ----------------------------------------
 1     0.282568, 0.141284
test 27 ----------------------------------------
 1     0.851010, 0.425505
-------------------------------------------------
  0   0   0   0   1   0   0   0   0   0     ----       1/1        1
  0   0   0   0   0   0   1   0   0   0     ----       1/1        2
  0   0   0   0   0   0   1   0   0   0     ----       1/1        3
  1   0   0   0   0   0   0   0   0   0     ----       1/1        4
  0   0   0   0   0   0   1   0   0   0     ----       1/1        5
  0   0   0   1   0   0   0   0   0   0     ----       1/1        6
  0   0   1   0   0   0   0   0   0   0     ----       1/1        7
  1   0   0   0   0   0   0   0   0   0     ----       1/1        8
  0   0   0   0   0   0   0   1   0   0     ----       1/1        9
  0   0   0   0   0   0   0   1   0   0     ----       1/1       10
  0   0   0   0   0   0   0   1   0   0     ----       1/1       11
  0   0   0   0   1   0   0   0   0   0     ----       1/1       12
  0   0   0   0   0   0   0   1   0   0     ----       1/1       13
  0   0   0   0   0   0   1   0   0   0     ----       1/1       14
  0   0   0   0   0   0   0   1   0   0     ----       1/1       15
  0   0   0   1   0   0   0   0   0   0     ----       1/1       16
  0   1   0   0   0   0   0   0   0   0     ----       1/1       17
  0   0   0   0   0   1   0   0   0   0     ----       1/1       18
  0   0   0   1   0   0   0   0   0   0     ----       1/1       19
  0   0   0   0   0   0   1   0   0   0     ----       1/1       20
  0   0   0   0   0   0   0   1   0   0     ----       1/1       21
  0   0   0   0   0   0   1   0   0   0     ----       1/1       22
  0   0   0   1   0   0   0   0   0   0     ----       1/1       23
  0   0   0   0   0   0   0   0   1   0     ----       1/1       24
  0   0   0   0   0   0   0   0   1   0     ----       1/1       25
  0   1   0   0   0   0   0   0   0   0     ----       1/1       26
  0   0   0   0   1   0   0   0   0   0     ----       1/1       27
检测通过
用时 1579 ms

2. π百万比特

参数:
 1 C1
 2 C2: 10000
 3 C3: 4
 4 C3: 8
 5 C4 1: 3
 6 C4 2: 3
 7 C4 1: 5
 8 C4 2: 5
 9 C5
10 C6
11 C7 1
12 C7 0
13 C8: 3
14 C8: 7
15 C9: 1
16 C9: 2
17 C9: 8
18 C9: 16
19 C10
20 C11 FORWARD
21 C11 REVERSE
22 C12: 2
23 C12: 5
24 C13: 500
25 C13: 1000
26 C14
27 C15
测试项数: 27
--------------------------------------------------------------------------------
FILE = data.pi    ALPHA = 0.0100    ALPHAT = 0.0001
BITSREAD = 1000000 0s = 500278 1s = 499722
________________________________________________________________________________
        1 单比特频数检测  FREQUENCY TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) sum     = -556
        (b) V       = -0.556000
        ---------------------------------------------
通过    p_value = 0.578211  q_value = 0.710895
________________________________________________________________________________
        2 块内频数检测  BLOCK FREQUENCY TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V                = 95.076000
        (b) # of substrings  = 100
        (c) block length     = 10000
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.620466  q_value = 0.620466
________________________________________________________________________________
        3 扑克检测  POKER TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V           = 19.492480
        (b) # of substrings = 250000
        (c) block length    = 4
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.192278  q_value = 0.192278
________________________________________________________________________________
        3 扑克检测  POKER TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V           = 249.470464
        (b) # of substrings = 125000
        (c) block length    = 8
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.585921  q_value = 0.585921
________________________________________________________________________________
        4 重叠子序列检测  SERIAL TEST
        ---------------------------------------------
         中间值:       
        ---------------------------------------------
        (a) Block length    (m) = 3
        (b) Sequence length (n) = 1000000
        (c) Psi_m               = 3.901888
        (d) Psi_m-1             = 1.271136
        (e) Psi_m-2             = 0.309136
        (f) Del_1               = 2.630752
        (g) Del_2               = 1.668752
        ---------------------------------------------
通过    p_value1 = 0.621385  q_value1 = 0.621385
通过    p_value2 = 0.434145  q_value2 = 0.434145
________________________________________________________________________________
        4 重叠子序列检测  SERIAL TEST
        ---------------------------------------------
         中间值:       
        ---------------------------------------------
        (a) Block length    (m) = 5
        (b) Sequence length (n) = 1000000
        (c) Psi_m               = 24.732928
        (d) Psi_m-1             = 10.532864
        (e) Psi_m-2             = 3.901888
        (f) Del_1               = 14.200064
        (g) Del_2               = 7.569088
        ---------------------------------------------
通过    p_value1 = 0.583812  q_value1 = 0.583812
通过    p_value2 = 0.476652  q_value2 = 0.476652
________________________________________________________________________________
        5 游程总数检测 RUNS TEST
        ------------------------------------------
        中间值:
        ------------------------------------------
        (a) Pi                        = 0.499722
        (b) V_n_obs (Total # of runs) = 499596
        (c) V_n_obs - 2 n pi (1-pi)
            -----------------------   = -0.807691
              2 sqrt(n) pi (1-pi)
        ------------------------------------------
通过    p_value = 0.419268  q_value = 0.790366
________________________________________________________________________________
        6 游程分布检测  RUNS DISTRIBUTION TEST
        ------------------------------------------
        中间值:
        (a) k = 15
        (b) T = 499596
        (c) V = 27.560749
        ------------------------------------------
通过    p_value = 0.487896  q_value = 0.487896
________________________________________________________________________________
        7 块内最大1游程检测  LONGEST RUNS OF ONES TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) N (# of substrings)  = 100
        (b) M (Substring Length) = 10000
        (c) Chi^2                = 14.217932
        ---------------------------------------------
              F R E Q U E N C Y
        ---------------------------------------------
        <=10  11  12  13  14  15 >=16 P-value  Assignment
           8  12  25  20  14  15    6 
通过    p_value = 0.027294  q_value = 0.027294
________________________________________________________________________________
        7 块内最大0游程检测  LONGEST RUNS OF ZEROS TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) N (# of substrings)  = 100
        (b) M (Substring Length) = 10000
        (c) Chi^2                = 9.642566
        ---------------------------------------------
              F R E Q U E N C Y
        ---------------------------------------------
        <=10  11  12  13  14  15 >=16 P-value  Assignment
          11  13  24  21  18   3   10 
通过    p_value = 0.140534  q_value = 0.140534
________________________________________________________________________________
        8 二元推导检测  BinaryDerivative TEST
        ------------------------------------------
        中间值:
        (a) k = 3
        (b) V = -1.541002
        ------------------------------------------
通过    p_value = 0.123316  q_value = 0.938342
________________________________________________________________________________
        8 二元推导检测  BinaryDerivative TEST
        ------------------------------------------
        中间值:
        (a) k = 7
        (b) V = 1.195004
        ------------------------------------------
通过    p_value = 0.232085  q_value = 0.116043
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 1
        (b) A = 499595
        (c) V = -0.809000
        ---------------------------------------------
通过    p_value = 0.418515  q_value = 0.790743
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 2
        (b) A = 500607
        (c) V = 1.216001
        ---------------------------------------------
通过    p_value = 0.223984  q_value = 0.111992
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 8
        (b) A = 499885
        (c) V = -0.222001
        ---------------------------------------------
通过    p_value = 0.824313  q_value = 0.587843
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 16
        (b) A = 500331
        (c) V = 0.678005
        ---------------------------------------------
通过    p_value = 0.497768  q_value = 0.248884
________________________________________________________________________________
        10 矩阵秩检测  RANK TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) Probability P_32 = 0.288800
        (b)             P_31 = 0.577600
        (c)             P_30 = 0.133600
        (d) Frequency   F_32 = 312
        (e)             F_31 = 546
        (f)             F_30 = 118
        (g) # of matrices    = 976
        (h) Chi^2            = 4.957047
        (i) NOTE: 576 BITS WERE DISCARDED.
        ---------------------------------------------
通过    p_value = 0.083867  q_value = 0.083867
________________________________________________________________________________
        11 前向累加和检测  CUMULATIVE SUMS (FORWARD) TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) The maximum partial sum = 1001
        -------------------------------------------
通过    p_value = 0.628308  q_value = 0.628308
________________________________________________________________________________
        11 后向累加和检测  CUMULATIVE SUMS (REVERSE) TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) The maximum partial sum = 963
        -------------------------------------------
通过    p_value = 0.663369  q_value = 0.663369
________________________________________________________________________________
        12 近似熵检测  APPROXIMATE ENTROPY TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) m (block length)    = 2
        (b) n (sequence length) = 1000000
        (c) Chi^2               = 2.632401
        (d) Phi(m)              = -1.386294
        (e) Phi(m+1)            = -2.079440
        (f) ApEn                = 0.693146
        (g) Log(2)              = 0.693147
        --------------------------------------------
通过    p_value = 0.621094  q_value = 0.621094
________________________________________________________________________________
        12 近似熵检测  APPROXIMATE ENTROPY TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) m (block length)    = 5
        (b) n (sequence length) = 1000000
        (c) Chi^2               = 28.697970
        (d) Phi(m)              = -3.465724
        (e) Phi(m+1)            = -4.158856
        (f) ApEn                = 0.693133
        (g) Log(2)              = 0.693147
        --------------------------------------------
通过    p_value = 0.634457  q_value = 0.634457
________________________________________________________________________________
        13 线性复杂度检测  LINEAR COMPLEXITY
        -----------------------------------------------------
        M (substring length)     = 500
        N (number of substrings) = 2000
        Note: 0 bits were discarded!
        -----------------------------------------------------
                F R E Q U E N C Y                            
        -----------------------------------------------------
          C0   C1   C2   C3   C4   C5   C6          V   P-value   Q-value
        -----------------------------------------------------
          30   64  254  955  529  127   41   7.882263  0.246857  0.246857
________________________________________________________________________________
        13 线性复杂度检测  LINEAR COMPLEXITY
        -----------------------------------------------------
        M (substring length)     = 1000
        N (number of substrings) = 1000
        Note: 0 bits were discarded!
        -----------------------------------------------------
                F R E Q U E N C Y                            
        -----------------------------------------------------
          C0   C1   C2   C3   C4   C5   C6          V   P-value   Q-value
        -----------------------------------------------------
          13   27  126  496  276   41   21  11.359820  0.077872  0.077872
________________________________________________________________________________
        14 Maurer通用统计检测  UNIVERSAL STATISTICAL TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) L         = 7
        (b) Q         = 1280
        (c) K         = 141577
        (d) sum       = 877079.026874
        (e) sigma     = 0.002768
        (f) variance  = 3.125000
        (g) exp_value = 6.196251
        (h) V         = -0.427504
        (i) WARNING:  1 bits were discarded.
        -----------------------------------------
通过    p_value = 0.669012  q_value = 0.665494
________________________________________________________________________________
        15 离散傅立叶检测  DFT TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) Percentile = 95.056000
        (b) N_l        = 475280.000000
        (c) N_o        = 475000.000000
        (d) V          = 2.504396
        -------------------------------------------
通过    p_value = 0.012266  q_value = 0.006133
--------------------------------------------------------------------------------
    No.       P         Q
test  1 ----------------------------------------
 1     0.578211, 0.710895
test  2 ----------------------------------------
 1     0.620466, 0.620466
test  3 ----------------------------------------
 1     0.192278, 0.192278
test  4 ----------------------------------------
 1     0.585921, 0.585921
test  5 ----------------------------------------
 1     0.621385, 0.621385
test  6 ----------------------------------------
 1     0.434145, 0.434145
test  7 ----------------------------------------
 1     0.583812, 0.583812
test  8 ----------------------------------------
 1     0.476652, 0.476652
test  9 ----------------------------------------
 1     0.419268, 0.790366
test 10 ----------------------------------------
 1     0.487896, 0.487896
test 11 ----------------------------------------
 1     0.027294, 0.027294
test 12 ----------------------------------------
 1     0.140534, 0.140534
test 13 ----------------------------------------
 1     0.123316, 0.938342
test 14 ----------------------------------------
 1     0.232085, 0.116043
test 15 ----------------------------------------
 1     0.418515, 0.790743
test 16 ----------------------------------------
 1     0.223984, 0.111992
test 17 ----------------------------------------
 1     0.824313, 0.587843
test 18 ----------------------------------------
 1     0.497768, 0.248884
test 19 ----------------------------------------
 1     0.083867, 0.083867
test 20 ----------------------------------------
 1     0.628308, 0.628308
test 21 ----------------------------------------
 1     0.663369, 0.663369
test 22 ----------------------------------------
 1     0.621094, 0.621094
test 23 ----------------------------------------
 1     0.634457, 0.634457
test 24 ----------------------------------------
 1     0.246857, 0.246857
test 25 ----------------------------------------
 1     0.077872, 0.077872
test 26 ----------------------------------------
 1     0.669012, 0.665494
test 27 ----------------------------------------
 1     0.012266, 0.006133
-------------------------------------------------
  0   0   0   0   0   0   0   1   0   0     ----       1/1        1
  0   0   0   0   0   0   1   0   0   0     ----       1/1        2
  0   1   0   0   0   0   0   0   0   0     ----       1/1        3
  0   0   0   0   0   1   0   0   0   0     ----       1/1        4
  0   0   0   0   0   0   1   0   0   0     ----       1/1        5
  0   0   0   0   1   0   0   0   0   0     ----       1/1        6
  0   0   0   0   0   1   0   0   0   0     ----       1/1        7
  0   0   0   0   1   0   0   0   0   0     ----       1/1        8
  0   0   0   0   0   0   0   1   0   0     ----       1/1        9
  0   0   0   0   1   0   0   0   0   0     ----       1/1       10
  1   0   0   0   0   0   0   0   0   0     ----       1/1       11
  0   1   0   0   0   0   0   0   0   0     ----       1/1       12
  0   0   0   0   0   0   0   0   0   1     ----       1/1       13
  0   1   0   0   0   0   0   0   0   0     ----       1/1       14
  0   0   0   0   0   0   0   1   0   0     ----       1/1       15
  0   1   0   0   0   0   0   0   0   0     ----       1/1       16
  0   0   0   0   0   1   0   0   0   0     ----       1/1       17
  0   0   1   0   0   0   0   0   0   0     ----       1/1       18
  1   0   0   0   0   0   0   0   0   0     ----       1/1       19
  0   0   0   0   0   0   1   0   0   0     ----       1/1       20
  0   0   0   0   0   0   1   0   0   0     ----       1/1       21
  0   0   0   0   0   0   1   0   0   0     ----       1/1       22
  0   0   0   0   0   0   1   0   0   0     ----       1/1       23
  0   0   1   0   0   0   0   0   0   0     ----       1/1       24
  1   0   0   0   0   0   0   0   0   0     ----       1/1       25
  0   0   0   0   0   0   1   0   0   0     ----       1/1       26
  1   0   0   0   0   0   0   0   0   0     ----       1/1       27
检测通过
用时 1625 ms

3. 2 \sqrt{2} 2 百万比特

参数:
 1 C1
 2 C2: 10000
 3 C3: 4
 4 C3: 8
 5 C4 1: 3
 6 C4 2: 3
 7 C4 1: 5
 8 C4 2: 5
 9 C5
10 C6
11 C7 1
12 C7 0
13 C8: 3
14 C8: 7
15 C9: 1
16 C9: 2
17 C9: 8
18 C9: 16
19 C10
20 C11 FORWARD
21 C11 REVERSE
22 C12: 2
23 C12: 5
24 C13: 500
25 C13: 1000
26 C14
27 C15
测试项数: 27
--------------------------------------------------------------------------------
FILE = data.sqrt2    ALPHA = 0.0100    ALPHAT = 0.0001
BITSREAD = 1000000 0s = 500119 1s = 499881
________________________________________________________________________________
        1 单比特频数检测  FREQUENCY TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) sum     = -238
        (b) V       = -0.238000
        ---------------------------------------------
通过    p_value = 0.811881  q_value = 0.594059
________________________________________________________________________________
        2 块内频数检测  BLOCK FREQUENCY TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V                = 110.931600
        (b) # of substrings  = 100
        (c) block length     = 10000
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.213821  q_value = 0.213821
________________________________________________________________________________
        3 扑克检测  POKER TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V           = 20.017920
        (b) # of substrings = 250000
        (c) block length    = 4
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.171246  q_value = 0.171246
________________________________________________________________________________
        3 扑克检测  POKER TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) V           = 245.222912
        (b) # of substrings = 125000
        (c) block length    = 8
        (d) Note: 0 bits were discarded.
        ---------------------------------------------
通过    p_value = 0.658721  q_value = 0.658721
________________________________________________________________________________
        4 重叠子序列检测  SERIAL TEST
        ---------------------------------------------
         中间值:       
        ---------------------------------------------
        (a) Block length    (m) = 3
        (b) Sequence length (n) = 1000000
        (c) Psi_m               = 4.421408
        (d) Psi_m-1             = 1.129352
        (e) Psi_m-2             = 0.056644
        (f) Del_1               = 3.292056
        (g) Del_2               = 2.219348
        ---------------------------------------------
通过    p_value1 = 0.510192  q_value1 = 0.510192
通过    p_value2 = 0.329666  q_value2 = 0.329666
________________________________________________________________________________
        4 重叠子序列检测  SERIAL TEST
        ---------------------------------------------
         中间值:       
        ---------------------------------------------
        (a) Block length    (m) = 5
        (b) Sequence length (n) = 1000000
        (c) Psi_m               = 19.632448
        (d) Psi_m-1             = 9.773984
        (e) Psi_m-2             = 4.421408
        (f) Del_1               = 9.858464
        (g) Del_2               = 4.505888
        ---------------------------------------------
通过    p_value1 = 0.873914  q_value1 = 0.873914
通过    p_value2 = 0.808844  q_value2 = 0.808844
________________________________________________________________________________
        5 游程总数检测 RUNS TEST
        ------------------------------------------
        中间值:
        ------------------------------------------
        (a) Pi                        = 0.499881
        (b) V_n_obs (Total # of runs) = 500504
        (c) V_n_obs - 2 n pi (1-pi)
            -----------------------   = 1.008057
              2 sqrt(n) pi (1-pi)
        ------------------------------------------
通过    p_value = 0.313427  q_value = 0.156714
________________________________________________________________________________
        6 游程分布检测  RUNS DISTRIBUTION TEST
        ------------------------------------------
        中间值:
        (a) k = 15
        (b) T = 500504
        (c) V = 32.015177
        ------------------------------------------
通过    p_value = 0.273894  q_value = 0.273894
________________________________________________________________________________
        7 块内最大1游程检测  LONGEST RUNS OF ONES TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) N (# of substrings)  = 100
        (b) M (Substring Length) = 10000
        (c) Chi^2                = 16.053094
        ---------------------------------------------
              F R E Q U E N C Y
        ---------------------------------------------
        <=10  11  12  13  14  15 >=16 P-value  Assignment
           6  16  33  18   4  10   13 
通过    p_value = 0.013472  q_value = 0.013472
________________________________________________________________________________
        7 块内最大0游程检测  LONGEST RUNS OF ZEROS TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) N (# of substrings)  = 100
        (b) M (Substring Length) = 10000
        (c) Chi^2                = 8.971008
        ---------------------------------------------
              F R E Q U E N C Y
        ---------------------------------------------
        <=10  11  12  13  14  15 >=16 P-value  Assignment
          15  23  17  22  13   5    5 
通过    p_value = 0.175215  q_value = 0.175215
________________________________________________________________________________
        8 二元推导检测  BinaryDerivative TEST
        ------------------------------------------
        中间值:
        (a) k = 3
        (b) V = 0.703001
        ------------------------------------------
通过    p_value = 0.482055  q_value = 0.241028
________________________________________________________________________________
        8 二元推导检测  BinaryDerivative TEST
        ------------------------------------------
        中间值:
        (a) k = 7
        (b) V = 0.491002
        ------------------------------------------
通过    p_value = 0.623425  q_value = 0.311713
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 1
        (b) A = 500503
        (c) V = 1.007001
        ---------------------------------------------
通过    p_value = 0.313935  q_value = 0.156967
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 2
        (b) A = 499365
        (c) V = -1.268001
        ---------------------------------------------
通过    p_value = 0.204797  q_value = 0.897601
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 8
        (b) A = 499421
        (c) V = -1.150005
        ---------------------------------------------
通过    p_value = 0.250142  q_value = 0.874929
________________________________________________________________________________
        9 自相关检测  AUTOCORRELATION  TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) d = 16
        (b) A = 499620
        (c) V = -0.744006
        ---------------------------------------------
通过    p_value = 0.456873  q_value = 0.771564
________________________________________________________________________________
        10 矩阵秩检测  RANK TEST
        ---------------------------------------------
        中间值:
        ---------------------------------------------
        (a) Probability P_32 = 0.288800
        (b)             P_31 = 0.577600
        (c)             P_30 = 0.133600
        (d) Frequency   F_32 = 274
        (e)             F_31 = 573
        (f)             F_30 = 129
        (g) # of matrices    = 976
        (h) Chi^2            = 0.386748
        (i) NOTE: 576 BITS WERE DISCARDED.
        ---------------------------------------------
通过    p_value = 0.824174  q_value = 0.824174
________________________________________________________________________________
        11 前向累加和检测  CUMULATIVE SUMS (FORWARD) TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) The maximum partial sum = 724
        -------------------------------------------
通过    p_value = 0.879009  q_value = 0.879009
________________________________________________________________________________
        11 后向累加和检测  CUMULATIVE SUMS (REVERSE) TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) The maximum partial sum = 603
        -------------------------------------------
通过    p_value = 0.957206  q_value = 0.957206
________________________________________________________________________________
        12 近似熵检测  APPROXIMATE ENTROPY TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) m (block length)    = 2
        (b) n (sequence length) = 1000000
        (c) Chi^2               = 3.289180
        (d) Phi(m)              = -1.386294
        (e) Phi(m+1)            = -2.079439
        (f) ApEn                = 0.693146
        (g) Log(2)              = 0.693147
        --------------------------------------------
通过    p_value = 0.510648  q_value = 0.510648
________________________________________________________________________________
        12 近似熵检测  APPROXIMATE ENTROPY TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) m (block length)    = 5
        (b) n (sequence length) = 1000000
        (c) Chi^2               = 23.752709
        (d) Phi(m)              = -3.465726
        (e) Phi(m+1)            = -4.158861
        (f) ApEn                = 0.693135
        (g) Log(2)              = 0.693147
        --------------------------------------------
通过    p_value = 0.853227  q_value = 0.853227
________________________________________________________________________________
        13 线性复杂度检测  LINEAR COMPLEXITY
        -----------------------------------------------------
        M (substring length)     = 500
        N (number of substrings) = 2000
        Note: 0 bits were discarded!
        -----------------------------------------------------
                F R E Q U E N C Y                            
        -----------------------------------------------------
          C0   C1   C2   C3   C4   C5   C6          V   P-value   Q-value
        -----------------------------------------------------
          15   70  269 1013  478  122   33   6.989073  0.321859  0.321859
________________________________________________________________________________
        13 线性复杂度检测  LINEAR COMPLEXITY
        -----------------------------------------------------
        M (substring length)     = 1000
        N (number of substrings) = 1000
        Note: 0 bits were discarded!
        -----------------------------------------------------
                F R E Q U E N C Y                            
        -----------------------------------------------------
          C0   C1   C2   C3   C4   C5   C6          V   P-value   Q-value
        -----------------------------------------------------
          11   31  102  533  236   63   24   7.714071  0.259809  0.259809
________________________________________________________________________________
        14 Maurer通用统计检测  UNIVERSAL STATISTICAL TEST
        --------------------------------------------
        中间值:
        --------------------------------------------
        (a) L         = 7
        (b) Q         = 1280
        (c) K         = 141577
        (d) sum       = 877838.790650
        (e) sigma     = 0.002768
        (f) variance  = 3.125000
        (g) exp_value = 6.196251
        (h) V         = 1.510935
        (i) WARNING:  1 bits were discarded.
        -----------------------------------------
通过    p_value = 0.130805  q_value = 0.065402
________________________________________________________________________________
        15 离散傅立叶检测  DFT TEST
        -------------------------------------------
        中间值:
        -------------------------------------------
        (a) Percentile = 95.012000
        (b) N_l        = 475060.000000
        (c) N_o        = 475000.000000
        (d) V          = 0.536656
        -------------------------------------------
通过    p_value = 0.591505  q_value = 0.295753
--------------------------------------------------------------------------------
    No.       P         Q
test  1 ----------------------------------------
 1     0.811881, 0.594059
test  2 ----------------------------------------
 1     0.213821, 0.213821
test  3 ----------------------------------------
 1     0.171246, 0.171246
test  4 ----------------------------------------
 1     0.658721, 0.658721
test  5 ----------------------------------------
 1     0.510192, 0.510192
test  6 ----------------------------------------
 1     0.329666, 0.329666
test  7 ----------------------------------------
 1     0.873914, 0.873914
test  8 ----------------------------------------
 1     0.808844, 0.808844
test  9 ----------------------------------------
 1     0.313427, 0.156714
test 10 ----------------------------------------
 1     0.273894, 0.273894
test 11 ----------------------------------------
 1     0.013472, 0.013472
test 12 ----------------------------------------
 1     0.175215, 0.175215
test 13 ----------------------------------------
 1     0.482055, 0.241028
test 14 ----------------------------------------
 1     0.623425, 0.311713
test 15 ----------------------------------------
 1     0.313935, 0.156967
test 16 ----------------------------------------
 1     0.204797, 0.897601
test 17 ----------------------------------------
 1     0.250142, 0.874929
test 18 ----------------------------------------
 1     0.456873, 0.771564
test 19 ----------------------------------------
 1     0.824174, 0.824174
test 20 ----------------------------------------
 1     0.879009, 0.879009
test 21 ----------------------------------------
 1     0.957206, 0.957206
test 22 ----------------------------------------
 1     0.510648, 0.510648
test 23 ----------------------------------------
 1     0.853227, 0.853227
test 24 ----------------------------------------
 1     0.321859, 0.321859
test 25 ----------------------------------------
 1     0.259809, 0.259809
test 26 ----------------------------------------
 1     0.130805, 0.065402
test 27 ----------------------------------------
 1     0.591505, 0.295753
-------------------------------------------------
  0   0   0   0   0   1   0   0   0   0     ----       1/1        1
  0   0   1   0   0   0   0   0   0   0     ----       1/1        2
  0   1   0   0   0   0   0   0   0   0     ----       1/1        3
  0   0   0   0   0   0   1   0   0   0     ----       1/1        4
  0   0   0   0   0   1   0   0   0   0     ----       1/1        5
  0   0   0   1   0   0   0   0   0   0     ----       1/1        6
  0   0   0   0   0   0   0   0   1   0     ----       1/1        7
  0   0   0   0   0   0   0   0   1   0     ----       1/1        8
  0   1   0   0   0   0   0   0   0   0     ----       1/1        9
  0   0   1   0   0   0   0   0   0   0     ----       1/1       10
  1   0   0   0   0   0   0   0   0   0     ----       1/1       11
  0   1   0   0   0   0   0   0   0   0     ----       1/1       12
  0   0   1   0   0   0   0   0   0   0     ----       1/1       13
  0   0   0   1   0   0   0   0   0   0     ----       1/1       14
  0   1   0   0   0   0   0   0   0   0     ----       1/1       15
  0   0   0   0   0   0   0   0   1   0     ----       1/1       16
  0   0   0   0   0   0   0   0   1   0     ----       1/1       17
  0   0   0   0   0   0   0   1   0   0     ----       1/1       18
  0   0   0   0   0   0   0   0   1   0     ----       1/1       19
  0   0   0   0   0   0   0   0   1   0     ----       1/1       20
  0   0   0   0   0   0   0   0   0   1     ----       1/1       21
  0   0   0   0   0   1   0   0   0   0     ----       1/1       22
  0   0   0   0   0   0   0   0   1   0     ----       1/1       23
  0   0   0   1   0   0   0   0   0   0     ----       1/1       24
  0   0   1   0   0   0   0   0   0   0     ----       1/1       25
  1   0   0   0   0   0   0   0   0   0     ----       1/1       26
  0   0   1   0   0   0   0   0   0   0     ----       1/1       27
检测通过
用时 1593 ms
评论 4
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