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Research Article | Open Access

Generalization of RSA cryptosystem based on 2n primes

Tariq Shah1Muhammad Zohaib1Qin Xin2Bander Almutairi3Muhammad Sajjad1( )
Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
Faculty of Science and Technology, University of the Faroe Islands, Faroe Islands, Denmark
Department of Mathematics, College of Sciences, King Saud University, P.O.Box 2455 Riyadh 11451, Saudi Arabia
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Abstract

This article introduced a new generalized RSA crypto-system based on 2 n prime numbers called generalized RSA (GRSA). This is a modern technique to provide supreme security for the computer world by factoring the variable N, where its analysis process has become much easier nowadays with the development of tools and equipment. 2 n primes (prime numbers) are used in the GRSA crypto-system to provide security over the network system. This includes encryption, key generation, and decryption. In this method we used 2 n primes which are not easily broken, 2 n primes are not comfortably demented. This method provides greater performance and fidelity over the network system.

CLC number: 68P25, 68U15

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AIMS Mathematics
Pages 18833-18845

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Cite this article:
Shah T, Zohaib M, Xin Q, et al. Generalization of RSA cryptosystem based on 2n primes. AIMS Mathematics, 2023, 8(8): 18833-18845. https://doi.org/10.3934/math.2023958

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Received: 18 January 2023
Revised: 06 May 2023
Accepted: 16 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)