New Combinatorial Complete One-Way Functions

Arist Kojevnikov; Sergey I. Nikolenko

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arXiv · 0802.2863

New Combinatorial Complete One-Way Functions

Arist Kojevnikov·Sergey I. Nikolenko

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Abstract

In 2003, Leonid A. Levin presented the idea of a combinatorial complete one-way function and a sketch of the proof that Tiling represents such a function. In this paper, we present two new one-way functions based on semi-Thue string rewriting systems and a version of the Post Correspondence Problem and prove their completeness. Besides, we present an alternative proof of Levin's result. We also discuss the properties a combinatorial problem should have in order to hold a complete one-way function.

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Arist Kojevnikov, Sergey I. Nikolenko. 2008-02-20. New Combinatorial Complete One-Way Functions. https://arxiv.org/abs/0802.2863

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