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多输出Plateaued函数的构造方法

谯通旭 曾兵 张文政 董新锋

计算机工程2012,Vol.38Issue(17):123-125,128,4.
计算机工程2012,Vol.38Issue(17):123-125,128,4.DOI:10.3969/j.issn.1000-3428.2012.17.034

多输出Plateaued函数的构造方法

Construction Methods of Multi-output Plateaued Function

谯通旭 1曾兵 1张文政 2董新锋2

作者信息

  • 1. 中国电子科技集团公司第三十研究所,成都610041
  • 2. 保密通信重点实验室,成都610041
  • 折叠

摘要

Abstract

Plateaued function has high nonlinearity, satisfy correlation immune and balanceness, and is applied widely in cryptographic function field. Based on a construction method of single-output Plateaued function proposed by Carlet etc, this paper uses state transition matrix of m-sequence to construct a class of multi-output Plateaued function. By referring to lemma 5 in Johansson's paper to propose another construction method of multi-output Plateaued function. The functions got are suitable to design S boxes, filtenng(combination) functions, hash functions and so on.

关键词

Walsh谱/Plateaued函数/多输出Plateaued函数/本原元/单射/m序列/状态转移矩阵

Key words

Walsh spectrum/ Plateaued function/ multi-output Plateaued function/ primitive element/ injection/ m-sequence/ state transition matrix

分类

信息技术与安全科学

引用本文复制引用

谯通旭,曾兵,张文政,董新锋..多输出Plateaued函数的构造方法[J].计算机工程,2012,38(17):123-125,128,4.

基金项目

保密通信重点实验室基金资助项目(9140C110201110C1102) (9140C110201110C1102)

计算机工程

OACSCDCSTPCD

1000-3428

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