Key Agreement Protocol (KAP) Using Conjugacy and Discrete Logarithm Problems in Group Representation Level

The key agreement protocol based on infinite non-commutative group presentation and representation levels is proposed. Two simultaneous problems in group representation level are used: the conjugator search problem (CSP) and modified discrete logarithm problem (DLP). The modified DLP in our approach is a matrix DLP and is different from that’s used in other publications. The algorithm construction does not allow to perform a crypto-analysis by replacing the existing CSP solution to the decomposition problem (DP) solution. The group presentation level serves for two commuting subgroups and invertible group’s word image matrix construction. The group representation level allows reliable factors disguising in the initial word. The word equivalence problem (WEP) solution is transformed from the group presentation level to the group representation level. Hence there are not necessary to solve WEP in the group presentation level and hence there are no restrictions on the group complex...

• Type: Journal
• Year: 2007
• Where: INFORMATICALT
• Authors: Eligijus Sakalauskas, Povilas Tvarijonas, Andrius Raulynaitis
• Keywords: Group Presentation, Group Representation Level, INFORMATICALT 2007, Representation Level