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arXiv · 1503.03821

A Class of Random Sequences for Key Generation

Krishnamurthy Kirthi·Subhash Kak
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Abstract

This paper investigates randomness properties of sequences derived from Fibonacci and Gopala-Hemachandra sequences modulo m for use in key distribution applications. We show that for sequences modulo a prime a binary random sequence B(n) is obtained based on whether the period is p-1 (or a divisor) or 2p+2 (or a divisor). For the more general case of arbitrary m, we use the property if the period is a multiple of 8 or not. The sequences for prime modulo have much better autocorrelation properties. These are good candidates for key distribution since the generation process is not computationally complex.

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Krishnamurthy Kirthi, Subhash Kak. 2015-03-12. A Class of Random Sequences for Key Generation. https://arxiv.org/abs/1503.03821

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