TARU PUBLICATIONS
Author

Abderrahmane Nitaj

Normandie Univ, Laboratoire de Mathématiques Nicolas Oresme, Université de Caen Normandie, Caen, 14000 Caen, France

ORCID 0000-0002-0372-1757
Published papers
3
Citations
2
Views
1,342
Downloads
368

Publications

3 papers
Open Access Research Article·pp. 1263–1280·Vol. 45, Issue 5Jul 2024

Cryptanalysis of a cubic Pell variant of RSA with primes sharing least significant bits

Nurul Nur Hanisah Adenan, Abderrahmane Nitaj, Muhammad Rezal Kamel Ariffin, Nur Azman Abu

Published Online: 12 Aug 2024DOI: 10.47974/JIOS-1333

In this paper: In this paper, we push further the cryptanalysis of a cryptosystem of the RSA’s variant which utilized a cubic Pell equation with the key equation ed − k(p2 + p + 1)(q2 + q + 1) = 1 where N = pq is an...

AbstractReferencesFull Text PDF (292 KB)Views: 494Downloads: 101Citations: 1
Open Access Research Article·pp. 945–961·Vol. 27, Issue 3Apr 2024

Improved cryptanalysis of RSA

Virgile Dossou-Yovo, Abderrahmane Nitaj, Alain Togbé

Published Online: 01 May 2024DOI: 10.47974/JDMSC-1570

In this paper: Let N = pq  be an RSA modulus and e be a public exponent. Let φ(N) = (p – 1)(q – 1)  be the Euler’s totient function. The equation ex2 – φ(N)y2 = z  has infinitely many solutions in integers (x, y, z)...

AbstractReferencesFull Text PDF (270 KB)Views: 413Downloads: 112Citations: 0