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Keccak类非线性变换的置换性质研究

李倩男 李云强 蒋淑静

计算机应用研究2013,Vol.30Issue(4):1201-1204,4.
计算机应用研究2013,Vol.30Issue(4):1201-1204,4.DOI:10.3969/j.issn.1001-3695.2013.04.065

Keccak类非线性变换的置换性质研究

Research on permutations properties of Keccak-like nonlinear transformation

李倩男 1李云强 1蒋淑静1

作者信息

  • 折叠

摘要

Abstract

Keccak hash function is one of the five hash functions that passed the SHA-3 final round. By researching the nonlinear transform of Keccak, this paper proposed n-gram Keccak-like nonlinear transform, and analyzed its transformation laws. By classification, the paper gave the sufficient conditions of images weren' t equal and the necessary conditions of images were equal, when the two inverse images weren't equal. Further, it proved that when n was an odd number, the n-gram Keccak-like nonlinear transform was a permutation, otherwise, was not a permutation. At the end of this article, it proved that n-gram Keccak-like nonlinear transform was not an omni-direction permutation, ortho-morphic permutation or quick trickle permutation, when was odd, and established theory basis for employing this permutation further.

关键词

Keccak/杂凑函数/非线性变换/置换性质

Key words

Keccak/ hash functions/ nonlinear transformation/ permutation properties

分类

信息技术与安全科学

引用本文复制引用

李倩男,李云强,蒋淑静..Keccak类非线性变换的置换性质研究[J].计算机应用研究,2013,30(4):1201-1204,4.

计算机应用研究

OA北大核心CSCDCSTPCD

1001-3695

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