Propagation Characteristics of Plateaued Functions

摘要：

In this paper, we discuss the propagation characteristics ofplateaued functions, we give the bounds of autocorrelation coefficient of rth -order plateaued function,present the second-order autocorrelation coefficient of plateaued function, which has some specially properties contrast to autocorreiation coefficient of plateaucd functions. Then we demonstrate the number of nonzero autocorrelation coefficient vector of rth-order plateaued function, and demonstrate the values of autocorrelation coefficient of (n-1)th order plateaued functions when n is odd, and (n-2)th order plateaued functions when n is even.Furthermore, we consider the relation between the maximum dimension of linear sup-space and the order of plateaued function, give an especial property of rth -order piateaued function on Vn satisfies the propagation criterion of degree n-1.

关键词： bent functions partially bent functions plateaued functions propagation characteristic

作者: Hu Bin Hao Shanshan

作者单位: Department of Mathematics Zheng Zhou Information Science Technology Institute Zheng Zhou, China Department of Mathematics Railway Police College Zheng Zhou, China

会议类型: 国际会议

会议名称: 2010 International Conference on Measuring Technology and Mechatronics Automation(ICMTMA 2010)(2010年检测技术与机电自动化国际会议)

会议地点: 长沙

会议语种:英文

页码: 2072-2076

在线出版日期: 2010-03-13（万方平台首次上网日期，不代表论文的发表时间）