文献类型：会议论文

英文题名：Construction of Boolean functions with optimal algebraic immunity based on the maximal Linear orthomorphic permutations

作者：Du, Jiao[1,2];Wen, Qiao-yan[1];Zhang, Jie[3];Pang, Shan-qi[4];Wang, Rui[5]

第一作者：杜蛟;Du, Jiao

通讯作者：Du, J[1]

机构：[1]Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China;[2]Xinxiang Univ, Dept Math, Henan 453003, Peoples R China;[3]Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China;[4]Normal Univ, Coll Math & Informat Sci, Zhengzhou 453007, Peoples R China;[5]Henan Univ Techno, Fac Sci, Ufa 450001, Russia

第一机构：Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China

通讯机构：[1]corresponding author), Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing 100876, Peoples R China.

会议论文集：International Conference on Computer Science and Network Technology (ICCSNT)

会议日期：DEC 24-26, 2011

会议地点：Harbin Normal Univ, Harbin, PEOPLES R CHINA

主办单位：Harbin Normal Univ

语种：英文

外文关键词：Boolean functions; Algebraic attack; Algebraic immunity; orthomorphic permutation

摘要：How to construct Boolean functions with good cryptographic characteristics is an interesting and significant problem in cryptography. Based on the maximal linear orthomorphic permutations, a method is proposed in this paper to construct a large class of Boolean functions with optimal algebraic immunity. Moreover, we demonstrate that the Boolean functions construct by Wang are contained in ours. The Boolean functions constructed in this paper can be balanced. At the end, based on the examples, we also give two conjectures on the construction of Boolean functions with optimal algebraic immunity.