Paper 2020/932

A Note on Authenticated Group Key Agreement Protocol Based on Twist Conjugacy Problem in Near – Rings

Atul Chaturvedi, Varun Shukla, and Manoj K. Misra

Abstract

ABSTRACT In 2017, D. Ezhilmaran & V. Muthukumaran (E&M [1]) have proposed key agreement protocols based on twisted conjugacy search problem in Near – ring and they have claimed that one can extend 3 party key agreement protocol (3PKAP) to any number of parties. Unfortunately their protocol is not an extension of 3PKAP and we present this weakness in this paper. We also show that their proposed 3PKAP is practically infeasible. Their protocol is not extendable to large number of parties like in banking system where number of parties is high. To overcome this problem we present an improved (or corrected) version of 3PKAP and for better understanding we extend it into 4PKAP with improvements in terms of number of passes, rounds, time complexity and run time. KEYWORDS Data communication, Key agreement, Near – ring, Twisted Conjugacy Search Problem (TCSP)

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint. MINOR revision.
Keywords
Data communicationKey agreementNear – ringTwisted Conjugacy Search Problem (TCSP)
Contact author(s)
atulibs @ gmail com
History
2020-07-29: received
Short URL
https://ia.cr/2020/932
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2020/932,
      author = {Atul Chaturvedi and Varun Shukla and Manoj K. Misra},
      title = {A Note on Authenticated Group Key Agreement Protocol Based on Twist Conjugacy Problem in Near – Rings},
      howpublished = {Cryptology ePrint Archive, Paper 2020/932},
      year = {2020},
      note = {\url{https://eprint.iacr.org/2020/932}},
      url = {https://eprint.iacr.org/2020/932}
}
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