The Characterizations of Binary Vector–Output Plateaued Functions

摘要：

The plateaued functions were first introduced by Zheng and Zhang and denote the Boolean functions on Vn such that their Walsh spectra are 0 or ±2n?r/2, where r is a even number with 0 ≤ r ≤ n. In this paper, we extend the plateaued functions to vectoroutput Boolean functions. We establish a sequence of important inequalities on the auto-correlation functions and the Walsh spectra of all nonzero linear combinations of the component functions. In particular , we characterize the vector-output plateaued functions by means of a sequence of equalities.

关键词： Auto-correlation function Cryptography Linear structures Nonlinearity Partially bent functions Plateaued functions

作者: Tinghai Yue

作者单位: Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin 300191, P. R. China

会议类型: 国际会议

会议名称: 2010 IEEE International Conference Conferenhce on Wireless Communications,Networking and Information Security(2010 IEEE 无线通信、网络技术与信息安全国际会议 WCNIS)

会议地点: 北京

会议语种:英文

页码: 1-5

在线出版日期: 2010-06-25（万方平台首次上网日期，不代表论文的发表时间）