| Trace Representations of S-boxes and Their Application |
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| 引用本文： | ZengXiang-yong FuJian-ming LiuHe-guo ZhangHuan-guo. Trace Representations of S-boxes and Their Application[J]. 武汉大学学报:自然科学英文版, 2004, 9(2): 173-176. DOI: 10.1007/BF02830597 |
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| 作者姓名： | ZengXiang-yong FuJian-ming LiuHe-guo ZhangHuan-guo |
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| 作者单位： | [1]SchoolofComputer,WuhanUniversity,Wuhan430072,Hubei,China [2]StateKeyLaboratoryofInformationSecurity(GraduateSchoolofChineseAcademyofSciences),Beijing100039,China |
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| 基金项目： | upportedbytheNationalNaturalScienceFoundationofChina (60 3730 89,60 3730 4 1 ) ,NaturalScienceFoundationofHubeiProvince (2 0 0 2AB0 0 37)andChenguangPlanofWuhanCity(2 0 0 2 50 0 1 0 0 7) . |
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| 摘 要： | In the paper,we use trace representations of Boolean functions to obtain that a class mappings including functions F(x)=x^d over field GF(2^″),with W(d) =n-1,have desirable cryptographic properties.Therefore we generalize an important result of Nyberg.As application,we use these conclusions to analyze cryptographic property of the Sbox of AES(the Advanced Encryption Standard) and give its several equivalent representations,proving that the composition of inversion function of AES and any invertible affine transformations is impossible to satisfy strict avalanche criterion,any order propagation criteria and any order correlation immunity.
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| 关 键 词： | 替换盒 Boolean函数 数据加密 迹函数 对称密码系统 |
| 收稿时间： | 2003-03-08 |
Trace representations of S-boxes and their application |
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| Zeng Xiang-yong,Fu Jian-ming,Liu He-guo,Zhang Huan-guo. Trace representations of S-boxes and their application[J]. Wuhan University Journal of Natural Sciences, 2004, 9(2): 173-176. DOI: 10.1007/BF02830597 |
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| Authors: | Zeng Xiang-yong Fu Jian-ming Liu He-guo Zhang Huan-guo |
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| Affiliation: | Graduate School of Chinese Academy of Sciences |
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| Abstract: | In the paper, we use trace representations of Boolean functions to obtain that a class mappings including functions F(x)=x d over field GF(2 n), with W(d)=n-1, have desirable cryptographic properties. Therefore we generalize an important result of Nyberg. As application, we use these conclusions to analyze cryptographic property of the S-box of AES (the Advanced Encryption Standard) and give its several equivalent representations, proving that the composition of inversion function of AES and any invertible affine transformations is impossible to satisfy strict avalanche criterion,any order propagation criteria and any order correlation immunity. |
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| Keywords: | trace function nonlinearity differentially uniform strict avalanche criterion |
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