摘要
S-box是密码理论与实践中十分重要的一种装置 ,它的密码性能由其分量函数所决定 .于是 ,选择适当的分量函数来构造 S-box就成了一个重要的研究课题 .在一定意义上 ,Bent函数是最优良的密码函数 .本文通过函数序列半群和置换群来构造其任何非零线性组合为 Bent函数与线性函数之和的函数组 ,从而可由 Bent函数构造出具有高度非线性度和其他良好性状的
S\|boxes is a class of important equipments for cryptographic theory and practice. The cryptographic properties are decided by the functions that composed the S\|box. Therefore choosing some appropriate functions to construct ″good″ S\|boxes is a significant work for combinatorial theorists. Bent functions possess the best cryptographic characteristics according to References \. In the present paper, we constructed S\|boxes with function\|semigroups and permutation groups, and a class of S\|boxes that possess high nonlinearity and other good properties were obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2002年第6期999-1002,共4页
Mathematics in Practice and Theory
基金
湖北省教育厅重点科研计划资助项目 (2 0 0 1 A41 0 0 8)
