An algorithm for solving over-determined multivariate quadratic systems over finite fields-Reference-Cited by-同舟云学术

An algorithm for solving over-determined multivariate quadratic systems over finite fields

Published:2022 Issue:0 Volume:0 Page:0
ISSN:1930-5346
Container-title:Advances in Mathematics of Communications
language:
Short-container-title:AMC

Author:

Wang Lih-Chung,Wei Tzer-jen,Shih Jian-Ming,Hu Yuh-Hua,Hsieh Chih-Cheng

Abstract

<p style='text-indent:20px;'>An algorithm for solving over-determined multivariate quadratic systems over finite fields is given. It is more efficient than other known algorithms over finite fields of relatively large size in terms of both performance and memory comsumption. It is also simpler for computer programming. The complexity estimate of our algorithm can be used to estimate the security level of multivariate cryptosystems by solving the multivariate quadratic systems induced by the cryptosystems.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory,Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory

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