| 高级加密标准Mixcolumn变换设计分析 |
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| 引用本文： | 曾祥勇,张焕国. 高级加密标准Mixcolumn变换设计分析[J]. 武汉大学学报(理学版), 2003, 49(5): 597-600 |
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| 作者姓名： | 曾祥勇 张焕国 |
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| 作者单位： | 武汉大学,计算机学院,湖北,武汉,430072 |
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| 基金项目： | 国家自然科学基金重点资助项目(90104005);国家863项目(2002AA141051);武汉晨光计划(20025001007)和湖北省自然科学基金资助项目(2002AB0037) |
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| 摘 要： | 将最优线性映射的定义推广到一般域K上，由定义证明了域K上的方阵是最优的当且仅当它的所有子方阵可逆；发现了高级加密标准AES扩散层的一个新的性质：用同规模的任意循环最优线性映射取代AES的Mixcolumn变换，系统依然呈现出相同的抗差分攻击能力；因为AES的Mixcolumn变换是最优的线性映射，且其对应矩阵选取合理、便于软硬件的快速实现，所以其设计的确很好．
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| 关 键 词： | 分组密码 AES 最优线性映射 高级加密标准 Mixcolumn变换 密码学 抗差分攻击能力 |
| 文章编号： | 1671-8836(2003)05-0597-04 |
| 修稿时间： | 2003-01-14 |
Analysis of Design for Mixcolumn Transformation of AES |
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| ZENG Xiang-yong,ZHANG Huan-guo. Analysis of Design for Mixcolumn Transformation of AES[J]. JOurnal of Wuhan University:Natural Science Edition, 2003, 49(5): 597-600 |
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| Authors: | ZENG Xiang-yong ZHANG Huan-guo |
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| Abstract: | The definition of optimal invertible linear transformation is generalized to general field. The theorem of existence for optimal invertible linear transformation over general field, an invertible linear transformation is optimal if and only if every sub-matrix of its corresponding matrix is invertible, is given without any knowledge of code theory. A formula in the algorithm of Sugita, Kobara, Uehara, et al. for computing differential and truncated differential of word-oriented block cipher is simplified. A new property of AES, the system presents the same strength against differential attack when implementing the Mix-column transformation of AES with any optimal invertible circular matrix of suitable size, is found with this simplified formula. The design for Mix-column transformation of AES is reasonable since the Mix-column of AES is optimal invertible linear transformation and the entries (01, 02 and 03) in its corresponding matrix are easy to implement with software or hardware. |
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| Keywords: | block cipher differential character AES optimal linear mapping |
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