Abstract

As the core of cryptography, hash function is one of the basic techniques for information security. During the last few years, considerable effort has been devoted to research on chaos-based hash functions. Nevertheless, the corresponding analysis of them lag far behind. In this paper, a new efficient scheme for parallel hash function based on high-dimensional chaotic map is proposed. In the proposed scheme, the confusion as well as the diffusion effect is enhanced significantly by utilizing two nonlinear coupling parameters. Theoretical and experimental results indicate that the proposed scheme can satisfy all performance requirements of hash function such as desired statistical properties and strong collision resistance. At the same time, the proposed scheme can keep the parallel merit and message sensitivity with high potential to be adopted for network security.

Highlights

  • As a ubiquitous phenomenon in nature, chaos is a kind of deterministic random-like process generated by nonlinear dynamical systems

  • Hash function is one of the major tools in cryptography, which is usually used for integrity protection in conjunction with message authentication and digital signature schemes

  • 4 Conclusion A novel parallel hash function based on a highdimensional chaotic map is proposed

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Summary

Introduction

As a ubiquitous phenomenon in nature, chaos is a kind of deterministic random-like process generated by nonlinear dynamical systems. Chaotic dynamical systems possess the following main characteristics: sensitivity to tiny changes in initial conditions, random-like behavior, ergodicity, unstable periodic orbits, desired diffusion and confusion properties, and one-way property. Due to these properties, chaotic systems have become a very good candidate for use in the field of cryptography. High-dimensional dynamical systems have been an attractive research field for many scientific areas in computer sciences and have received considerable attention in secure communication field. This kind of chaotic map has better mixing nature and higher complexity. It can keep the parallel structure and message sensitivity as required by practical hash functions

A one-way hash function based on high dimensional chaotic map
Performance analysis
Analysis of collision resistance and birthday attack resistance
Theoretical value of mean of absolute difference
Result
Conclusion
Full Text
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