Hash function construction based on time average moiré

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November 2007, 8(4): 1007-1020. doi: 10.3934/dcdsb.2007.8.1007

Hash function construction based on time average moiré

Minvydas Ragulskis ^1, and Zenonas Navickas ^1,

1.	Faculty of Fundamental Sciences, Kaunas University of Technology, Kaunas, LT-51368, Lithuania, Lithuania

Received February 2007 Revised May 2007 Published August 2007

Abstract
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An algorithm for the construction of hash function based on optical time average moirè experimental technique is proposed in this paper. Algebraic structures of grayscale color functions and time average operators are constructed. Properties of time average operators and effects of digital image representation are explored. The fact that the inverse problem of identification of the original grayscale color function from its time averaged image is an ill-posed problem helps to construct an efficient algorithm for the construction of a new class of one-way collision free hash functions.

Keywords: algebraic structure., Time average moire, hash function.

Mathematics Subject Classification: Primary: 78A05; Secondary: 94A0.

Citation: Minvydas Ragulskis, Zenonas Navickas. Hash function construction based on time average moiré. Discrete & Continuous Dynamical Systems - B, 2007, 8 (4) : 1007-1020. doi: 10.3934/dcdsb.2007.8.1007

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