# New Cryptanalytic Attack on RSA Modulus N = pq Using Small Prime Difference Method

^{1}

Al-Kindi Cryptography Research Laboratory, Institute for Mathematical Research, Universiti Putra Malaysia, Selangor 43400, Malaysia

^{2}

Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor 43400, Malaysia

^{3}

Centre of Foundation Studies for Agriculture Science, Universiti Putra Malaysia, Selangor 43400, Malaysia

^{†}

These authors contributed equally to this work.

^{*}

Author to whom correspondence should be addressed.

Received: 1 November 2018 / Revised: 14 December 2018 / Accepted: 15 December 2018 / Published: 20 December 2018

# Abstract

This paper presents new short decryption exponent attacks on RSA, which successfully leads to the factorization of RSA modulus*Keywords:*RSA modulus; primes difference; cryptanalysis; short decryption exponent; attacks; continued fraction

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**MDPI and ACS Style**

Kamel Ariffin, M.R.; Abubakar, S.I.; Yunos, F.; Asbullah, M.A. New Cryptanalytic Attack on RSA Modulus *N* = *pq* Using Small Prime Difference Method. *Cryptography* **2019**, *3*, 2.

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