Landau-Siegel Bound of Post Quantum Cryptography

版本 1.0.0 (2.8 KB) 作者: steed huang

This code is to simulate and calculate the hacking bound for post quantum cryptography with Yitang Zhang Landau-Siegel zero bound vs others.

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更新时间 2022/11/13

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The National Institute of Standards and Technology (NIST) has launched a program and competition to standardize one or more post-quantum cryptographic (PQC) algorithms to fight against quantum attacks. In this work, we have conducted the first-ever mathematical analysis of lattice-based and polynomial-based PQC by introducing the relationship between automorphism and homomorphism. This analysis can help enterprises and organizations leverage NIST-selected PQC algorithms to safeguard their digital services from quantum attacks. We performed the simulation to illustrate brute force broken probability for polynomial-based or multivariate-based PQC to validate our mathematical analysis of PQC by using Yitang Zhang's Landau-Siegel zero bound.

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steed huang (2024). Landau-Siegel Bound of Post Quantum Cryptography (https://www.mathworks.com/matlabcentral/fileexchange/120358-landau-siegel-bound-of-post-quantum-cryptography), MATLAB Central File Exchange. 检索来源 2024/10/2.