Abstract
An algorithm for the construction of hash function based on optical time average moire 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.
Highlights
There are no technically mature techniques that provide the security service of non-repudiation in an open network environment, in the absence of trusted third parties, other than digital signature-based techniques [1]
Hash functions with just this property have a variety of general computational uses, but when employed in cryptography, the hash functions are usually chosen to have some additional properties: it must be relatively easy to compute hash values for any given inputs; hash functions must be one-way and collision-free [2], [15]
A hash function is said to be one-way if it is hard to invert, where hard to invert means that given a hash value, it is computationally infeasible to find the input
Summary
There are no technically mature techniques that provide the security service of non-repudiation in an open network environment, in the absence of trusted third parties, other than digital signature-based techniques [1]. We will construct a hash function exploiting physical principles of optical digital image time averaging techniques. Time average moire, hash function, algebraic structure. Moire grating is formed on the surface of elastic oscillating structure and time averaging techniques are used for the formation of patterns of fringes [11]. Moire grating on the surface of a one-dimensional structure in the state of equilibrium can be interpreted as a harmonic function [7], [10]:. The imaging device (the camera) provides measurements of a transformation of this information in the process of time averaging while the body oscillates harmonically These measurements are both incomplete (sampling) and inaccurate (statistical noise) [13]. Arithmetic mean operator is defined for a finite set of grayscale functions F1(x), .
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