基于轨道扰动的混沌单向散列函数设计

李佩玥; 古 力; 隋永新; 杨怀江

doi:10.3788/OPE.20101809.2101

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基于轨道扰动的混沌单向散列函数设计

信息科学 | 更新时间：2020-08-12

- 基于轨道扰动的混沌单向散列函数设计
- Design of chaotic one-way hash function based on orbit perturbation
- 光学精密工程 2010年18卷第9期页码：2101-2108
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所应用光学国家重点实验室,吉林长春,130033
  2. 中国科学院研究生院北京,100039
  3. 南开大学信息技术科学学院天津,300071
- 作者简介：
- 基金信息：
  
  国家973重点基础研究发展规划项目(No.2007CB311201)()
- DOI：10.3788/OPE.20101809.2101
  中图分类号： TP311;TP391
- 收稿日期：2010-05-10，
  
  修回日期：2010-07-26，
  
  网络出版日期：2010-09-29，
  
  纸质出版日期：2010-09-20
- 稿件说明：
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李佩玥, 古力, 隋永新, 杨怀江. 基于轨道扰动的混沌单向散列函数设计[J]. 光学精密工程, 2010,18(9): 2101-2108

LI Pei-yue, GU Li, SUI Yong-xin, YANG Huai-jiang. Design of chaotic one-way hash function based on orbit perturbation[J]. 光学精密工程, 2010,18(9): 2101-2108
李佩玥, 古力, 隋永新, 杨怀江. 基于轨道扰动的混沌单向散列函数设计[J]. 光学精密工程, 2010,18(9): 2101-2108 DOI： 10.3788/OPE.20101809.2101.

LI Pei-yue, GU Li, SUI Yong-xin, YANG Huai-jiang. Design of chaotic one-way hash function based on orbit perturbation[J]. 光学精密工程, 2010,18(9): 2101-2108 DOI： 10.3788/OPE.20101809.2101.

摘要

在分析针对数字混沌提出的伪随机扰动策略和变参数补偿策略的基础上

提出了基于轨道扰动的混沌单向散列函数设计方法。首先

将消息填充为64 byte的整数倍

以提高短消息散列的安全性;然后

选取64 byte的固定扰动向量

并将明文信息与固定扰动向量一起映射至数字混沌系统相空间的扰动空间;最后

将扰动空间内的元素输入至数字混沌系统进行多次混沌迭代

并在迭代结果中取出160 bit作为最终散列值。该算法选用Logistic映射作为混沌映射

计算复杂度比高维混沌映射低

而轨道扰动的思想使得该算法比一般的低维混沌映射安全性更高。研究表明

该算法对初值极其敏感

且具有很好的混乱和扩散性质及较高的抗碰撞性。该算法采用256 bit定点数运算

更易于软硬件实现。

Abstract

On the basis of analysis on the pseudo-random perturbation policy and Variable Parameter Compensation(VPCM) policy for digital chaotic system

a method to design the chaotic one-way hash function based on the orbit perturbation is proposed. In order to improve the security of short message hashing

the message is padded to be a multiple of 64 byte. Then

the length fixed perturbation of 64 bytes length is chosen

and the perturbation together with the padded message are mapped to the perturbation space of digital chaotic system.Finally

the digital chaotic system is iterated multiple times by using the elements of the perturbation space as inputs

and a hash value with 160 bit length is extracted from the results. The proposed algorithm uses the logistic mapping as the chaotic mapping

of which the computational complexity is lower than the one that has a reasonable high dimension. As the orbit perturbation is introduced the algorithm

its security is higher than that of common one. The results indicate that the algorithm is sensitive to the initial message comparatively and shows good confusion and diffusion properties. Moreover

the fix-point operations with 256 bits are used in the proposed algorithm

and it is easy to be completed by software or hardware.

关键词

Keywords

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