Abstract: Linear code, a foundational construct extensively employed in communication, data transmission, and error correction, has been the subject of rigorous study ...

These days, large language models can handle increasingly complex tasks, writing complex code and engaging in sophisticated ...

This paper, the main motivation for this project, introduces a recursive lattice reduction framework designed to solve two core problems in lattice theory: finding the shortest non-zero vector (SVP) ...

Abstract: Homomorphic encryption (HE) is a kind of algorithm which provides data processing but not data access. Since it was proposed in 1978, as one of the important tools in cryptography, it is ...