# American Institute of Mathematical Sciences

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

## Hash function construction based on time average moiré

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

Received  February 2007 Revised  May 2007 Published  August 2007

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.
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