An efficient RSA public key encryption scheme

Date

2008-04-09

Author

Aboud, Sattar J.
AL-Fayoumi, Mohammad A.
Al-Fayoumi, Mustafa
Jabbar, Haidar S.

Metadata

Show full item record

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

Item Usage Stats

283
views

0
downloads

In this paper, we propose an efficient RSA public key encryption scheme, which is an improved version of original RSA scheme. The proposed RSA encryption scheme is based on linear group over the ring of integer mod a composite modulus n which is the product of two distinct prime numbers. In the proposed scheme the original message and the encrypted message are h x h square matrices with entities in z(n) indicated via l(h,z(n)). Since the original RSA Scheme is a block cipher in which the original message and cipher message are integer in the interval [0,n-1] for solve integer modulus n. Therefore, in this paper, we generalize RSA encryption scheme in order to be implemented in the general linear group on the ring of integer mod n. Furthermore, the suggested encryption scheme has no restriction in encryption and decryption order and is claimed to be efficient, scalable and dynamic.

Subject Keywords

RSA public encryption scheme, Square matrices, General linear group, Digital signature scheme

URI

https://hdl.handle.net/11511/67422

DOI

https://doi.org/10.1109/itng.2008.199

Collections

Graduate School of Informatics, Conference / Seminar

Suggestions

OpenMETU
Core

New methods for public key cryptosystems based on XTR AKLEYLEK, SEDAT; KIRLAR, Barış Bülent (2015-12-01) In this paper, we propose novel deterministic and probabilistic public key cryptographic schemes based on an effective and compact subgroup trace representation cryptosystem to handle with the problem of secure and efficient communication between the server and resource-constrained device. The proposed schemes use the hardness of the Trace-discrete logarithmic like problem. We also show that the deterministic version of the proposed scheme is a one-way trapdoor, and the probabilistic version of the proposed...
Message transmission for GH-public key cryptosystem Ashraf, Muhammad; KIRLAR, Barış Bülent (2014-03-15) In this paper we propose an ElGamal type encryption scheme based on the concepts of public key cryptosystem over cubic finite field extension proposed by Gong and Ham (GH). The proposed encryption scheme is an ephemeral-static, which is useful in situations like email where the recipient may not be online. The security of the proposed encryption scheme depends on the difficulty of solving 3-LFSR-DLP, 3-LFSR-DHP and 3-LFSR-DDHP. It then provides secure message transmission by having also the property of sema...
Design and performance evaluation of a flexible and efficient server assisted signature protocol Bicakci, K; Baykal, Nazife (2003-07-03) One method to reduce the computational costs of generating public key signatures on constrained devices is to get help from a verifiable server In this paper, we propose a (verifiable) server assisted signature protocol which is the first one that totally elliminates public key operations for the ordinary user Our protocol is also more efficient and flexible in terms of storage since unlike previous ones the user does not need to save the server's signatures to prove its cheating.
On provable security of some public key encryption schemes Hanoymak, Turgut; Akyıldız, Ersan; Selçuk, Ali Aydın; Department of Cryptography (2012) In this thesis, we analyse the security criteria of some public key encryption schemes. In this respect, we present the notion of adversarial goals and adversarial capabilities. We give the definition of provably security by means of several games between the challenger and the adversary in some security models, namely the standard model and the random oracle model. We state the main differences between these two models and observe the advantage of the success probability of the adversary in breaking the cr...
Improved server assisted signatures Bicakci, K; Baykal, Nazife (2005-02-21) It is well known that excessive computational demands of public key cryptography have made its use limited especially when constrained devices are of concern. To reduce the costs of generating public key signatures one viable method is to employ a third party; the server. In open networks, getting help from a verifiable-server has an advantage over proxy-based solutions since as opposed to proxy-server, verifiable-server's cheating can be proven.

Citation Formats

S. J. Aboud, M. A. AL-Fayoumi, M. Al-Fayoumi, and H. S. Jabbar, “An efficient RSA public key encryption scheme,” 2008, p. 127, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67422.