电子学报2017，Vol.45Issue(10)：2439-2442,4.DOI:10.3969/j.issn.0372-2112.2017.10.018
基于费马商的r元序列的迹表示
Trace Representation of r-ary Sequences Derived from Fermat Quotients
摘要
Abstract
Families of pseudorandom sequences derived from Fermat quotients possess good cryptographic properties.In this paper,based on the theory of trace function in the finite field and cosets,we firstly determine the discrete Fourier transform (DFT) of the r-ary sequences derived from Fermat quotients.Then from which we obtain the sequences' trace representation.The trace representation we determined plays an important role in the engineering realization of the sequences,and also provides a new tool for analyzing the pseudorandom properties of the sequences.关键词
r元序列/费马商/离散傅里叶变换/迹表示Key words
r-ary sequences/Fermat quotients/discrete Fourier transform/trace representation分类
信息技术与安全科学引用本文复制引用
杜小妮,李芝霞,万韫琦,李晓丹..基于费马商的r元序列的迹表示[J].电子学报,2017,45(10):2439-2442,4.基金项目
国家自然科学基金(No.61462077,No.61772022) （No.61462077,No.61772022）
安徽省自然科学基金(No.1608085MF143) （No.1608085MF143）
上海市自然科学基金(No.16ZR1411200) （No.16ZR1411200）
