期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

More constructions of APN and differentially 4-uniform functions by concatenation 被引量：4

More constructions of APN and differentially 4-uniform functions by concatenation
原文传递
导出
摘要 We study further the method of concatenating the outputs of two functions for designing an APN or a differentially 4-uniform (n, n)-function for every even n. We deduce several specific constructions of APN or differentially 4-uniform (n, n)-functions from APN and differentially 4-uniform (n/2, n/2)-functions. We also give a construction of quadratic APN functions which includes as particular cases a previous construction by the author and a more recent construction by Pott and Zhou. We study further the method of concatenating the outputs of two functions for designing an APN or a differentially 4-uniform （n, n）-function for every even n. We deduce several specific constructions of APN or differentially 4-uniform （n, n）-functions from APN and differentially 4-uniform （n/2, n/2）-functions. We also give a construction of quadratic APN functions which includes as particular cases a previous construction by the author and a more recent construction by Pott and Zhou.
作者 CARLET Claude
机构地区 LAGA Department of Mathematics
出处 《Science China Mathematics》 SCIE 2013年第7期1373-1384,共12页 中国科学：数学（英文版）
关键词 block cipher vectorial function substitution box almost perfect nonlinear almost bent APN 均匀 串联 建设施工 体结构 函数
分类号 O174 [理学—基础数学]
  • 相关文献

参考文献37

  • 1Biham E, Shamir A. Differential cryptanalysis of DES-like cryptosystems. J Cryptology, 1991, 4:3-72.
  • 2Bracken C, Byrne E, Markin N, et al. Determining the nonlinearity of a new family of APN functions. In: Proceedings of AAECC-17 Conference, Lecture Notes in Computer Science, vol. 4851. Berlin: Springer, 2007, 72-79.
  • 3Bracken C, Byrne E, Markin N, et al. New families of quadratic almost perfect nonlinear trinomials and multinomials. Finite Fields Appl, 2008, 14:703-714.
  • 4Bracken C, Byrne E, Markin N, et al. A few more quadratic APN functions. ArXiv: 0804.4799vl, 2007.
  • 5Bracken C, Byrne E, McGuire G, et al. On the equivalence of quadratic APN functions. Des Codes Cryptogr, 2011, 61:261-272.
  • 6Bracken C, Leander G. A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree. Finite Fields Appl, 2010, 16:231-242.
  • 7Brinkmann M, Leander G. On the classification of APN functions up to dimension five. Des Codes Cryptogr, 2008, 49:273-288.
  • 8Browning K, Dillon J F, Kibler R E, et al. APN polynomials and related codes. J Combin Inform Syst Sci, 2009, 34: 135-159 .
  • 9Browning K A, Dillon J F, McQuistan M T, et al. An APN permutation in dimension six. Amer Math Soc Contemp Math, 2010, 518:33-42.
  • 10Budaghyan L, Carlet C. Classes of quadratic APN trinomials and hexanomials and related structures. IEEE Trans Inform Theory, 2008, 54:2354-2357.

同被引文献7

引证文献4

二级引证文献6

Science China Mathematics
2013年 第7期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部