欢迎访问中国科学院大学学报,今天是
论文

一类Bent函数的构造

  • 胡磊 ,
  • 裴定一 ,
  • 冯登国
展开
  • 中国科学院研究生院信息安全国家重点实验室, 北京 100039
胡磊,男,1967年3月生,教授

收稿日期: 2001-10-29

  网络出版日期: 2002-03-18

基金资助

国家自然科学基金资助项目(90 10 40 3 4)

Construction of a Class of Bent Functions

  • HU Lei ,
  • PEI Ding-Yi ,
  • FENG Deng-Guo
Expand
  • State Key Laboratory of Information Security,Graduate School,Chinese Academy of Sciences,Beijing 100039

Received date: 2001-10-29

  Online published: 2002-03-18

摘要

给出了具有任意偶数个变元的Bent函数的一种构造办法.该方法通过级联二个半Bent函数得到Bent函数,所构造的Bent函数具有极大的代数次数和可控的单项式项数。

本文引用格式

胡磊 , 裴定一 , 冯登国 . 一类Bent函数的构造[J]. 中国科学院大学学报, 2002 , 19(2) : 103 -106 . DOI: 10.7523/j.issn.2095-6134.2002.2.001

Abstract

A method to construct Bent functions with even variables is presented?It constructs a Bent function by concatenating two semi-Bent functions, and the constructed Bent function has the maximum algebraic degree and the controllable terms.

参考文献

[1] C Carlet.Partially-bent functions.In:Advance in Cryptoloty-CRYPTO92。Berlin:Springer-Verlag, 1993。280~ 291

[2] C Carlet.Two new classes of bent functions.In:Advance in Cryptoloty-EU ROCRYPT93.Berlin:Springer-Verlag, 1994.77~ 101

[3] C Carlet.More Correlation-immune and resilient functions over Galois fields and Galois rings.In:Advance in Cryptology-CRYPTO92. Berlin :Springer-Verlag, 1993.422 ~ 431

[4] J F Dillon.A survey of bent functions.The NSA Technical Journal, 1972, 191~ 215

[5] 冯登国, 裴定一.密码学导引.北京:科学出版社, 1999

[6] R H McFarland.A family of difference sets in noncycle g roups.J of Combinatorial Theory(Series A), 1973, 15:1~ 10

[7] K Nyberg 。Perfect nonlinear S-boxes.In:Advance in Cryptoloyg-EUROCRYPT91。Berlin:Springer-Verlag, 1992.378~ 386

[8] O S Rothus.On bent functions.J of Combinatorial Theory (Series A), 1976, 20:300~ 305

文章导航

/