On complete one-way functions

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On complete one-way functions

Complete constructions play an important role in theoretical computer science. However, in cryptography complete constructions have so far been either absent or purely theoretical. In 2003, L.A. Levin presented the idea of a combinatorial complete one-way function. In this paper, we present two new one-way functions based on semi-Thue string rewriting systems and a version of the Post correspon...

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New Combinatorial Complete One-Way Functions

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...

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Modern cryptographic practice rests on the use of one-way functions, which are easy to evaluate but difficult to invert. Unfortunately, commonly used one-way functions are either based on unproven conjectures or have known vulnerabilities. We show that instead of relying on number theory, the mesoscopic physics of coherent transport through a disordered medium can be used to allocate and authen...

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Physical One - Way Functions

(2002). 26. J. M. Caruthers, D. B. McKay, Curr. Opin. Struct. Biol. 12, 123 (2002). 27. J. P. Abrahams, A. G. Leslie, R. Lutter, J. E. Walker, Nature 370, 621 (1994). 28. L. Holm, C. Sander, Trends. Biochem. Sci. 20, 478 (1995). 29. S. S. Velankar, P. Soultanas, M. S. Dillingham, H. S. Subramanya, D. B. Wigley, Cell 97, 75 (1999). 30. R. M. Story, H. Li, J. N. Abelson, Proc. Natl. Acad. Sci. U....

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ژورنال

عنوان ژورنال: Problems of Information Transmission

سال: 2009

ISSN: 0032-9460,1608-3253

DOI: 10.1134/s0032946009020082