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

RSA-type Algebra Structures

Vol. 10, No.6, June 30, 2016
10.3837/tiis.2016.06.021, Download Paper (Free):

Abstract

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.


Statistics

Show / Hide Statistics

Statistics (Cumulative Counts from December 1st, 2015)
Multiple requests among the same browser session are counted as one view.
If you mouse over a chart, the values of data points will be shown.


Cite this article

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