摘要
构造具有高非线性度且平衡的奇数元布尔函数是现代密码学研究的一个重要课题 .借助于函数的卷积 ,同时利用Bent函数 ,给出了一类奇数元布尔函数 ,并进一步讨论了这类函数的Walsh循环谱特征、自相关函数、重量特征、平衡性、扩散性、稳定性。
Constructing odd elements Boolean functions is an important problems in the modern cryptology. Using the convolution and bent functions, a kind of odd elements Boolean functions are presented. The Walsh cyclic spectrum and autocorrelation function of them are given in this paper, also cryptographic properties of these kind of functions such as banlancedness, nonlinearity , correlation immunity and propagation characterics etc. are discussed.
出处
《山东大学学报（工学版）》
CAS
2002年第2期127-130,共4页
Journal of Shandong University（Engineering Science）
