Quality Analysis of a Chaotic Proven Keyed Hash Function
Jacques M. Bahi, Jean-Fran\c{c}ois Couchot, Christophe Guyeux

TL;DR
This paper evaluates a novel chaotic keyed hash function based on asynchronous iterations, demonstrating its security properties through theoretical analysis and extensive simulations.
Contribution
It introduces a new chaotic hash function with proven topological properties, enhancing security analysis beyond existing standards.
Findings
The hash function exhibits strong uniformity and sensitivity to initial conditions.
Qualitative proofs and simulations support its security claims.
The approach offers a promising direction for cryptographic hash design.
Abstract
Hash functions are cryptographic tools, which are notably involved in integrity checking and password storage. They are of primary importance to improve the security of exchanges through the Internet. However, as security flaws have been recently identified in the current standard in this domain, new ways to hash digital data must be investigated. In this document an original keyed hash function is evaluated. It is based on asynchronous iterations leading to functions that have been proven to be chaotic. It thus possesses various topological properties as uniformity and sensibility to its initial condition. These properties make our hash function satisfies established security requirements in this field. This claim is qualitatively proven and experimentally verified in this research work, among other things by realizing a large number of simulations.
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Taxonomy
TopicsChaos-based Image/Signal Encryption · Cryptographic Implementations and Security · Chaos control and synchronization
