• KSII Transactions on Internet and Information Systems
    Monthly Online Journal (eISSN: 1976-7277)

RSA-type Algebra Structures

Vol. 10, No. 6, June 29, 2016
10.3837/tiis.2016.06.021, Download Paper (Free):


RSA is a public key cryptosystem that is currently the most popularly used in information security. Development of RSA variants has attracted many researchers since its introduction in 1978 by Ron Rivest, Adi Shamir, and Leonard Adleman. In this paper, we propose an algebraic structure for RSA and show that the proposed structure covers all known RSA variants. The usefulness of the proposed structure is then proved by showing that, following the structure we can construct a RSA variant based on the Bergman ring. We compare the original RSA and its variants from the point of view of factoring the modulus to determine why the original RSA is widely used than its variants.


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Cite this article

[IEEE Style]
L. D. Tran, T. D. Tran, D. Choi, T. D. Nguyen, "RSA-type Algebra Structures," KSII Transactions on Internet and Information Systems, vol. 10, no. 6, pp. 2835-2850, 2016. DOI: 10.3837/tiis.2016.06.021.

[ACM Style]
Long D. Tran, Thu D. Tran, Deokjai Choi, and Thuc D. Nguyen. 2016. RSA-type Algebra Structures. KSII Transactions on Internet and Information Systems, 10, 6, (2016), 2835-2850. DOI: 10.3837/tiis.2016.06.021.

[BibTeX Style]
@article{tiis:21140, title="RSA-type Algebra Structures", author="Long D. Tran and Thu D. Tran and Deokjai Choi and Thuc D. Nguyen and ", journal="KSII Transactions on Internet and Information Systems", DOI={10.3837/tiis.2016.06.021}, volume={10}, number={6}, year="2016", month={June}, pages={2835-2850}}