文章基本信息

标题：KEY AGREEMENT PROTOCOL (KAP) REALIZATION IN GAUSSIAN GROUP PRESENTATION AND ACTION LEVELS
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作者：Eligijus Sakalauskas ; Gediminas Dosinas ; Arūnas Dargis 等
期刊名称：European Integration Studies
印刷版ISSN：2335-8831
出版年度：2015
卷号：34
期号：1
DOI：10.5755/j01.itc.34.1.11992
语种：English
出版社：Kaunas University of Technology
摘要：The method for a key agreement protocol (KAP) with application of a non-commutative group is presen-ted. The method is based on the two one-way functions (OWFs) and corresponding hard problems. One hard problem is left right factors' search problem (LRFSP) in non-commutative group presentation level, and another one is a postu-lated hard problem in the non-commutative group representation level or, in other words, action level. On the basis of LRFSP the first one-way function (OWF1) is constructed. Non-commutative group is treated as an endomorphic group of operators acting on a certain semimodule or module. In this case such semimodule is compatible with a non-commutative group and algebra generated by this non-commutative group. The requirements of semimodule compatibility to the introduced algebra are presented. On the basis of a hard problem postulation in non-commutative group action level the second OWF2 is constructed.