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arXiv 0811.1859cs.CR
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数字混沌密码分析的基本框架

A Basic Framework for the Cryptanalysis of Digital Chaos-Based Cryptography

David Arroyo, Gonzalo Alvarez, Veronica Fernandez

摘要:

混沌密码学是基于混沌作为熵源的特性。人们已经提出了许多不同的方案来利用这些特性并设计新的策略来加密信息。然而,在密码学的背景下正确和有效地使用混沌需要对所选混沌系统的动力学有透彻的了解。事实上,如果最终的加密系统揭示了关于底层混沌系统的足够信息,密码分析师就有可能获得密钥,部分密钥或某种等同于密钥的信息,只是分析密码系统泄露的那些动力学属性。本文展示了这些动力学性质是什么,以及密码分析师如何使用它们来证明加密系统的安全交换信息的不足。本研究是通过一系列的数学工具,这应该是密码分析的基本框架的背景下,基于数字混沌密码学的介绍。

英文摘要:

Chaotic cryptography is based on the properties of chaos as source of entropy. Many different schemes have been proposed to take advantage of those properties and to design new strategies to encrypt information. However, the right and efficient use of chaos in the context of cryptography requires a thorough knowledge about the dynamics of the selected chaotic system. Indeed, if the final encryption system reveals enough information about the underlying chaotic system it could be possible for a cryptanalyst to get the key, part of the key or some information somehow equivalent to the key just analyzing those dynamical properties leaked by the cryptosystem. This paper shows what those dynamical properties are and how a cryptanalyst can use them to prove the inadequacy of an encryption system for the secure exchange of information. This study is performed through the introduction of a series of mathematical tools which should be the basic framework of cryptanalysis in the context of digital chaos-based cryptography.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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