Cryptanalysis Attacks on Multi Prime Power Modulus Through Analyzing Prime Difference

Authors

  • Dogondaji, A M Usmanu Danfodiyo University, P M B 2346, Sokoto-Nigeria
  • Sani, B. Usmanu Danfodiyo University, P.M.B. 2346, Sokoto -Nigeria
  • Ibrahim, A.A Usmanu Danfodiyo University, P.M.B. 2346, Sokoto, Nigeria
  • Abubakar, S. I. Sokoto State University, Sokoto-Nigeria

DOI:

https://doi.org/10.57233/ijsgs.v9i1.405

Keywords:

RSA modulus, short decryption attack., Multi Prime power, Continued fraction, prime difference

Abstract

The Security of Rivest, Shamir and Adleman Cryptosystem known as RSA and its variants rely on the difficulty of integer factorization problem. This  paper presents a short decryption exponent attack on RSA variant  based on the key equation    where prime difference was carefully analyzed and came up with an approximation of  as   which enabled us to obtain an improved bound  that led to the polynomial time factorization of the variant .

Author Biographies

Dogondaji, A M, Usmanu Danfodiyo University, P M B 2346, Sokoto-Nigeria

Department of  Mathematics, Usmanu Danfodiyo University, P M B 2346, Sokoto-Nigeria

Sani, B., Usmanu Danfodiyo University, P.M.B. 2346, Sokoto -Nigeria

Department of  Mathematics, Usmanu Danfodiyo University, P M B 2346, Sokoto-Nigeria

Ibrahim, A.A, Usmanu Danfodiyo University, P.M.B. 2346, Sokoto, Nigeria

Department of  Mathematics, Usmanu Danfodiyo University, P M B 2346, Sokoto-Nigeria

Abubakar, S. I., Sokoto State University, Sokoto-Nigeria

Department of  Mathematics, Sokoto State University, Sokoto-Nigeria

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Published

2023-03-31

How to Cite

Dogondaji, . A., Sani, B., Ibrahim, A., & Abubakar, . S. (2023). Cryptanalysis Attacks on Multi Prime Power Modulus Through Analyzing Prime Difference. International Journal of Science for Global Sustainability, 9(1), 9. https://doi.org/10.57233/ijsgs.v9i1.405