一种哈希函数的拓扑混沌框架
A topological chaos framework for hash functions
摘要：
本文提出了一种新的生成散列函数的方法，可以使用一些数学工具进行评估。该过程是基于离散混沌迭代。首先，它是数学证明，这些离散的混沌迭代可以被认为是一个\linebreak拓扑混沌的特殊情况。然后详细介绍了基于\linebreak拓扑混沌的哈希函数生成过程。最后，它显示了如何从\linebreak拓扑混沌域来的一些工具，可以用来定量和定性地测量哈希函数的一些理想的属性。一个说明性的例子是详细的，以显示如何创建散列函数使用我们的理论研究。关键词：离散混沌迭代.拓扑混乱。散列函数
英文摘要：
This paper presents a new procedure of generating hash functions which can be evaluated using some mathematical tools. This procedure is based on discrete chaotic iterations. First, it is mathematically proven, that these discrete chaotic iterations can be considered as a \linebreak particular case of topological chaos. Then, the process of generating hash function based on the \linebreak topological chaos is detailed. Finally it is shown how some tools coming from the domain of \linebreak topological chaos can be used to measure quantitatively and qualitatively some desirable properties for hash functions. An illustration example is detailed in order to show how one can create hash functions using our theoretical study. Key-words : Discrete chaotic iterations. Topological chaos. Hash function
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