Analysis of the implementation complexity of the cryptosystem on the Suzuki group

Authors

  • G.Z. Khalimov
  • Y.V. Kotukh
  • Yu.A. Sergiychuk
  • A.S. Marukhnenko

DOI:

https://doi.org/10.30837/rt.2018.2.193.08

Keywords:

cryptosystem MST3, Suzuki group, logarithmic signature

Abstract

Implementations for cryptosystems of finite groups based on logarithmic signature and covering are considered. A logarithmic signature is exemplified by a permutation group with the asymmetry of encryption and decryption algorithms. Description of the improved cryptosystem MST3 in Suzuki 2-group with the order of the group q2 is given. The Suzuki 2-group use has a significant advantage in implementation, due to the large center and simple group operation. Cost estimates for encryption, decryption and comparison with the RSA algorithm are obtained.

References

N.R. Wagner and M. R. Magyarik. A Public Key Cryptosystem Based on the Word Problem // Advances in Cryptology. Proceedings of CRYPTO 1984, pp. 19-36, edited by G. R. Blakley and D. Chaum, Lecture Notes in Computer Science 196. Berlin: Springer, 1985.

N.R. Wagner. Searching for Public-Key Cryptosystems // In Proceedings of the 1984 Symposium on Security and Privacy (SSP ’84), pp. 91-98. Los Alamitos, CA: IEEE Computer Society Press, 1990.

S.S. Magliveras. A Cryptosystem from Logarithmic Signatures of Finite Groups // Proceedings of the 29th Midwest Symposium on Circuits and Systems, pp. 972-975. Amsterdam: Elsevier Publishing Company, 1986.

W. Lempken, S.S. Magliveras, Tran van Trung and W. Wei. A public key cryptosystem based on non-abelian finite groups // J. of Cryptology, 22(2009), 62-74.

G. Higman, Suzuki 2-groups.Ill. J. Mathematic. 1963. V.7. P.79-96.

Pavol Svaba. Covers and logarithmic signatures of finite groups in cryptography : Dissertation. Bratislava : Slowakische Republik, 2011.

Downloads

Published

2018-05-15

How to Cite

Khalimov, G., Kotukh, Y., Sergiychuk, Y., & Marukhnenko, A. (2018). Analysis of the implementation complexity of the cryptosystem on the Suzuki group. Radiotekhnika, 2(193), 75–81. https://doi.org/10.30837/rt.2018.2.193.08

Issue

No. 193 (2018): Radiotekhnika

Section

Articles

License

Authors who publish with this journal agree to the following terms:

1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).