Value Distributions of Exponential Sums from Perfect Nonlinear Functions

摘要：

Based on theory of quadratic forms over finite fields, the value distributions of the exponential sums are determined for all the known perfect nonlinear functions Ⅱ(x) from Fq to itself. Based on the value distributions of these exponential sums, the correlation distribution between two sequences is calculated for all the known perfect nonlinear functions II(x) from Fq to itself except Coulter-Matthews functions.

关键词： correlation distributions exponential sums perfect nonlinear functions quadratic forms

作者: Hai Xin Li Chao

作者单位: Department of Mathematics and System Science, National University of Denfense Technology, Changsha, PRC

会议类型: 国际会议

会议名称: The 2010 International Conference on Computer Application and System Modeling(2010计算机应用与系统建模国际会议 ICCASM 2010)

会议地点: 太原

会议语种:英文

页码: 508-512

在线出版日期: 2010-10-22（万方平台首次上网日期，不代表论文的发表时间）