Researches on A Class of Special Bit Transformation

WANG Nian-ping

doi:10.3969/j.issn.0372-2112.2012.04.035

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Researches on A Class of Special Bit Transformation

更新时间：2025-07-16

- Researches on A Class of Special Bit Transformation
- Acta Electronica Sinica Vol. 40, Issue 4, Pages: 838-841(2012)
- 作者机构：
  
  1. 解放军信息工程大学电子技术学院,河南,郑州,450004
  2. 解放军信息工程大学电子技术学院河南郑州,450004
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2012.04.035
  CLC： TN918.1
- Published：2012
- 稿件说明：
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WANG Nian-ping. Researches on A Class of Special Bit Transformation[J]. Acta Electronica Sinica, 2012, 40(4): 838-841.
DOI：

WANG Nian-ping. Researches on A Class of Special Bit Transformation[J]. Acta Electronica Sinica, 2012, 40(4): 838-841. DOI： 10.3969/j.issn.0372-2112.2012.04.035.

摘要

在S-P网络中

P变换的设计直接影响着分组密码的整体扩散性能.基于此

提出了一类特殊的比特变换的概念

证明了该类比特变换是对合变换且其分支数为4

并给出了输入和输出重量之和等于4的输入输出对的个数.进一步的分析表明

尽管该类比特变换的分支数没有达到最大值

但仍然具有较好的扩散性能.

Abstract

In the S-P networks

the design of P-transformation is very important

and is related to integral diffusion performance of block cipher.Based on the importance of P transformation

we propose the concept of a class of special bit transformation.We prove that the special bit transformation is involutory transformation and it's branch number is 4.We also give the number of input-output correspondences whose weight sum equals to 4.By further analyzing

it is shown that the special bit transformation has good diffusion performance though it's branch number does not obtain maximum.

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