Constructions of Vectorial Boolean Functions With Good Cryptographic Properties

摘要：

　　Vectorial Boolean functions are used as the nonlinear components in stream ciphers.The security of the cipher system depends on the cryptographic properties of the functions.The widely accepted criteria are balancedness,high nonlinearity,correlation immune and so on.In this paper,we present a new construction method of balanced vectorial Boolean functions with strictly almost optimal nonlinearity.Furthermore.for the first time,the first-order correlation immune functions with currently best known nonlinearity 2n-1-2n/2-1-2”n/4」 are obtained.It is also shown that our functions can have good algebraic degree.

关键词： Vectorial Boolean functions stream ciphers nonlinearity balancedness correlation immunity

作者: Lu-Yang Li Wei-Guo Zhang

作者单位: Science and Technology on Communication Security Laboratory, Chengdu 610041 State Key Laboratory of Integrated Services Networks,Xidian University, Xi”an 710071

会议类型: 国内会议

会议名称: 中国密码学会2017年密码算法学术会议

会议地点: 桂林

会议语种:英文

页码: 93-99

在线出版日期: 2017-05-01（万方平台首次上网日期，不代表论文的发表时间）