Key Agreement Protocol Using Conjugacy Classes of Finitely Generated Group

Authors

  • Michael N. John  Department of Mathematics, Akwa Ibom State University, Nigeria
  • Udoaka Otobong. G.  Department of Mathematics, Akwa Ibom State University, Nigeria
  • Alex Musa  Department of Mathematics, Akwa Ibom State University, Nigeria

DOI:

https://doi.org//10.32628/IJSRST2310645

Keywords:

Key agreement, Conjugacy classes, finitely generated group, Group theory, Algebraic cryptography, Secure communication, Blockchain technology, Computational Mathematics

Abstract

This research presents a novel key agreement protocol leveraging the rich mathematical structure of conjugacy classes within groups. We propose a key agreement protocol based on finitely generated group drawing inspiration from algebraic cryptography, specifically group theory, to establish a secure and efficient means of key exchange. Through the utilization of conjugacy classes, the protocol aims to enhance the security of cryptographic systems while addressing computational efficiency concerns. This study contributes to the intersection of mathematics and cryptography by providing a robust foundation for secure communication protocols.

References

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  9. Udoaka, O. G. (2022). Generators and inner automorphism. THE COLLOQUIUM -A Multi-disciplinary Thematc Policy Journal www.ccsonlinejournals.com. Volume 10, Number 1 , Pages 102 -111 CC-BY-NC-SA 4.0 International Print ISSN : 2971-6624 eISSN: 2971-6632.
  10. Michael N. John & Udoaka O. G (2023). Algorithm and Cube-Lattice-Based Cryptography. International journal of Research Publication and reviews, Vol 4, no 10, pp 3312-3315 October 2023.[11] Michael N. John, Udoaka O. G., "Computational GroupTheory and Quantum-Era Cryptography",International Journal of Scientific Research in Science,Engineering and Technology (IJSRSET), Online ISSN :2394-4099, Print ISSN : 2395-1990, Volume 10 Issue 6,pp. 01-10, November-December 2023. Available at doi :https://doi.org/10.32628/IJSRSET2310556

International Journal of Scientific Research in Science and Technology

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Published

2023-12-30

Issue

Volume 10, Issue 6, November-December-2023

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Michael N. John, Udoaka Otobong. G., Alex Musa, " Key Agreement Protocol Using Conjugacy Classes of Finitely Generated Group, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 10, Issue 6, pp.52-56, November-December-2023. Available at doi : https://doi.org/10.32628/IJSRST2310645