41、Targeted Homomorphic Attribute-Based Encryption: A Comprehensive Guide

Targeted Homomorphic Attribute-Based Encryption: A Comprehensive Guide

1. Introduction

Targeted Homomorphic Attribute - Based Encryption (HABE) is a powerful cryptographic concept that combines homomorphic evaluation with attribute - based encryption. This approach allows for secure computation on encrypted data based on certain attributes, providing both privacy and functionality.

2. Preliminaries

2.1 Notation

• Vectors are denoted by lower - case bold letters (e.g., $\mathbf{v}$), and matrices by upper - case bold letters (e.g., $\mathbf{A}$).
• The $i$th component of a vector $\mathbf{v}$ is $\mathbf{v}_i$, and the component in the $i$th row and $j$th column of a matrix $\mathbf{A}$ is $\mathbf{A}[i, j]$.