Analysis of RSA Digital Signature Key Generation using Strong Prime

Abdelmajid Hassan Mansour


RSA digital signature is a public key algorithm, uses a private key for signing and a public key for verifying. Achieving the efficiency and acceptable level of time for generating strong keys is an important aspect and a key factor of the different security issue that facing the RSA. This paper proposes a new scheme for generating private and public key of the RSA Digital Signature using “Strong prime” concept, state that  , , based on Gordon’s algorithm. In order to optimize the efficiency of key generation time strategy for the prime factorization that relying on such probability.


Private & Public key; Strong prime; Gordon’s algorithm; Hash Function; Message Digest; Factorization problem.

Full Text:



Xianmeng Meng, Xuexin Zheng,”Cryptanalysis of RSA with a small parameter revisited” Information Processing Letters 115, Elsevier, June 2015, p. 858–862.

Santanu Sarkar, Subhamoy Maitra, “Cryptanalysis of RSA with two decryption exponents”, Information Processing Letters 110, Elsevier, December 2010, p. 178–181

Santanu Sarkar, Subhamoy Maitra, “Cryptanalysis of RSA with more than one decryption exponent”, Information Processing Letters 110, Elsevier, March 2010, p. 336–340.

ShigeyoshiImai, KaoruKurosawa, “Improved reconstruction of RSA private-keys from their fraction”, Information Processing Letters 115, Elsevier, February 2015, p. 630–632

Shun-Fu Pon, Erl-Huei Lu, Albert B. Jeng, “Meta-He digital signatures based on factoring and discrete logarithms”, Applied Mathematics and Computation 165,, 2005, p. 171–176.

M. Thangavel, P. Varalakshmi, Mukund Murrali, K. Nithya,” An Enhanced and Secured RSA Key Generation Scheme (ESRKGS)”, journal of information security and applications 20,, 2015, p. 3-10.

Amit S. Bhala, Vivek P. Kshirsagar, Meghana B. Nagori, Mandar K. Deshmukh, “Performance Comparison of Elliptical Curve and RSA Digital Signature on ARM7”, 2011 International Conference on Information and Network Technology, IPCSIT vol.4 (2011), p. 58-62.

Al Imem Ali, “COMPARISON AND EVALUATION OF DIGITAL SIGNATURE SCHEMES EMPLOYED IN NDN NETWORK”, International Journal of Embedded systems and Applications(IJESA) Vol.5, No.2, June 2015, p. 15-29.

Kamal Kr. Gola, Bhumika Gupta, Zubair Iqbal, ”Modified RSA Digital Signature Scheme for Data Confidentiality”, International Journal of Computer Applications (0975 – 8887) Volume 106 – No. 13, November 2014, p. 13-16.

Ashish Vijay, Priyanka Trikha, Kapil Madhur, “A New Variant of RSA Digital Signature”, International Journal of Advanced Research in Computer Science and Software Engineering, Volume 2, Issue 10, October 2012 ISSN: 2277 128X, p. 366-371.

Venkateswara Rao Pallipamu, Thammi Reddy K, Suresh Varma P, “Design of RSA Digital Signature Scheme Using ANovel Cryptographic Hash Algorithm”, International Journal of Emerging Technology and Advanced Engineering,, ISSN 2250-2459, Volume 4, Issue 6, June 2014, p. 609-612.

Abdullah M. Jaafar and Azman Samsudin, “Visual Digital Signature Scheme: A New Approach”, IAENG International Journal of Computer Science, 37:4, IJCS_37_4_04, November 2010.

Hongjie Zhu, Daxing Li, “Research on Digital Signature in Electronic Commerce”, Proceedings of the International Multi Conference of Engineers and Computer Scientists IMECS 19-21 March 2008 Vol I, Hong Kong.

Dindayal Mahto, Danish Ali Khan, Dilip Kumar Yadav, “Security Analysis of Elliptic Curve Cryptography and RSA”, Proceedings of the World Congress on Engineering WCE Vol I, June 29 - July 1, 2016, London, U.K.

HANDBOOK of APPLIED CRYPTOGRAPHY, Alfred J. Menezes, Paul C. van Oorschot, Scott A. Vanstone, August, 1996.

Prime Numbers A Computational Perspective, Richard Crandall, Carl Pomerance, Second Edition, 2000, ISBN-10: 0-387-25282-7, springeronline.


  • There are currently no refbacks.





About IJC | Privacy PolicyTerms & Conditions | Contact Us | DisclaimerFAQs 

IJC is published by (GSSRR).