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Groups Complexity Cryptology

Managing Editor: Shpilrain, Vladimir / Weil, Pascal

Editorial Board Member: Blackburn, Simon R. / Conder, Marston / Dehornoy, Patrick / Eick, Bettina / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Roman'kov, Vitalii / Rosenberger, Gerhard / Sapir, Mark / Schäge, Sven / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura

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Authenticated commutator key agreement protocol

Alexander Ushakov
  • Stevens Institute of Technology, Hoboken, NJ 07030, United States of America
  • :
Published Online: 2016-10-11 | DOI: https://doi.org/10.1515/gcc-2016-0011


The original commutator key agreement (CKA) protocol is a two party anonymous key agreement protocol invented by I. Anshel, M. Anshel and D. Goldfeld. In this paper we propose a modification of the CKA protocol with mutual authentication without introducing any additional computational assumptions. In addition, we propose a new zero-knowledge Feige–Fiat–Shamir-type authentication protocol.

Keywords: Group-based cryptography; commutator key agreement; zero knowledge authentication

MSC 2010: 94A60; 68W30

Received: 2016-02-18

Published Online: 2016-10-11

Published in Print: 2016-11-01

Funding Source: National Science Foundation

Award identifier / Grant number: DMS-1318716

This work was partially supported by NSF grant DMS-1318716.

Citation Information: Groups Complexity Cryptology. Volume 8, Issue 2, Pages 127–133, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/gcc-2016-0011, October 2016

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