Algebraic Cryptanalysis Scheme of AES-256 Using Gröbner Basis

Algebraic Cryptanalysis Scheme of AES-256 Using Gröbner Basis
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基于 Gröbner 基的 AES-256 代数密码分析方案

DOI:
10.1155/2017/9828967
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发表时间:
2017-02
影响因子:
2.4
通讯作者:
Zhiqiang Xie
Zhiqiang Xie
中科院分区:
--
文献类型:
--
作者:
Kaixin Zhao;Jie Cui;Zhiqiang Xie

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The zero-dimensional Gr&#-10;bner basis construction is a crucial step in Gr&#-10;bner basis cryptanalysis on AES-256. In this paper, after performing an in-depth study on the linear transformation and the system of multivariate polynomial equations of AES-256, the zero-dimensional Gr&#-10;bner basis construction method is proposed by choosing suitable term order and variable order. After giving a detailed construction process of the zero-dimensional Gr&#-10;bner basis, the necessary theoretical proof is presented. Based on this, an algebraic cryptanalysis scheme of AES-256 using Gr&#-10;bner basis is proposed. Analysis shows that the complexity of our scheme is lower than that of the exhaustive attack.
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