Length based attack and braid groups: Cryptanalysis of Anshel-Anshel- Goldfeld key exchange protocol

Alex D. Myasnikov, Alexander Ushakov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

44 Scopus citations

Abstract

The length based attack on Anshel-Anshel-Goldfeld commutator key-exchange protocol [1] was initially proposed by Hughes and Tannenbaum in [9]. Several attempts have been made to implement the attack [6], but none of them had produced results convincing enough to believe that attack works. In this paper we show that accurately designed length based attack can successfully break a random instance of the simultaneous conjugacy search problem for certain parameter values and argue that the public/private information chosen uniformly random leads to weak keys.

Original languageEnglish
Title of host publicationPublic Key Cryptography - PKC 2007 - 10th International Conference on Practice and Theory in Public-Key Cryptography, Proceedings
Pages76-88
Number of pages13
DOIs
StatePublished - 2007
Event10th International Conference on Theory and Practice in Public-Key Cryptography, PKC 2007 - Beijing, China
Duration: 16 Apr 200720 Apr 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4450 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th International Conference on Theory and Practice in Public-Key Cryptography, PKC 2007
Country/TerritoryChina
CityBeijing
Period16/04/0720/04/07

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