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：Du, Jiao;杜蛟

通讯作者：Du, J.

机构：[1] State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China; [2] Department of Mathematics, Xinxiang University, Henan Province Xinxiang 453003, China; [3] School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; [4] College of Mathematics and Information Science, Henan Normal University, Henan Province Xinxiang 453007, China; [5] Faculty of Science, Henan University of Technology, Henan Province Zhenzhou 450001, China

第一机构：State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China

会议论文集：Proceedings of 2011 International Conference on Computer Science and Network Technology, ICCSNT 2011

会议日期：December 24, 2011 - December 26, 2011

会议地点：Harbin, China

语种：英文

外文关键词：Computer networks - Cryptography

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. ? 2011 IEEE.