现代密码设计中的关键数学问题

本项目将考虑现代密码设计中涉及到的六个关键的数学问题：大整数分解问题、离散对数问题、有限域上非线性方程组求解、有限域上含错线性方程组的求解、格中最近向量问题、APN猜想。本项目将研究这些问题的进展情况、主要困难以及对密码学发展的影响。

This project will consider six key mathematical problems in the design of modern cryptosystems, they are: integer factorization, discrete logarithm, solving the system of nonlinear equations over finite fields, solving the system of linear equations over finite fields with error, closest vector problem in lattice, and the APN conjecture. This project will study the research development , the main difficulties and the affect for modern cryptography of these problems.