New combinatorial complete one-way functions

被引:0
|
作者
Kojevnikov, Arist [1 ]
Nikolenko, Sergey I. [1 ]
机构
[1] VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia
关键词
cryptography; complete problem; one-way function;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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.
引用
收藏
页码:457 / 466
页数:10
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