25 citations · 48 across the 8 of their papers we have counts for
8 papers
A Novel Pseudo-Random Number Generator Based on Multi-Objective Optimization for Image-Cryptographic Applications
Takreem Haider, Saúl A. Blanco, Umar Hayat
Pseudo-random number generators (PRNGs) play an important role to ensure the security and confidentiality of image cryptographic algorithms. Their primary function is to generate a…
Image Encryption Using Elliptic Curves and Rossby/Drift Wave Triads
Ikram Ullah, Umar Hayat, Miguel D. Bustamante
We propose an image encryption scheme based on quasi-resonant Rossby/drift wave triads (related to elliptic surfaces) and Mordell elliptic curves (MECs). By defining a total order…
Efficient and Secure Substitution Box and Random Number Generators Over Mordell Elliptic Curves
Ikram Ullah, Naveed Ahmed Azam, Umar Hayat
Elliptic curve cryptography has received great attention in recent years due to its high resistance against modern cryptanalysis. The aim of this article is to present efficient ge…
Efficient Construction of a Substitution Box Based on a Mordell Elliptic Curve Over a Finite Field
Naveed Ahmed Azam, Umar Hayat, Ikram Ullah
Elliptic curve cryptography (ECC) is used in many security systems due to its small key size and high security as compared to the other cryptosystems. In many well-known security s…
Discrete resonant Rossby/drift wave triads: an explicit parameterisation and a fast direct numerical search algorithm
Umar Hayat, Shahid Amanullah, Shane Walsh +1
We report results on the explicit parameterisation of discrete Rossby-wave resonant triads of the Charney-Hasegawa-Mima equation in the small-scale limit (i.e. large Rossby deforma…
Counting of discrete Rossby/drift wave resonant triads (again)
Miguel D. Bustamante, Umar Hayat, Peter Lynch +1
The purpose of our earlier note (arXiv:1309.0405 [physics.flu-dyn]) was to remove the confusion over counting of resonant wave triads for Rossby and drift waves in the context of t…
Counting of discrete Rossby/drift wave resonant triads
Miguel D. Bustamante, Umar Hayat, Peter Lynch +1
The purpose of this note is to remove the confusion about counting of resonant wave triads for Rossby and drift waves in the context of the Charney-Hasegawa-Mima equation. In parti…
Complete classification of discrete resonant Rossby/drift wave triads on periodic domains
Miguel D. Bustamante, Umar Hayat
We consider the set of Diophantine equations that arise in the context of the barotropic vorticity equation on periodic domains, when nonlinear wave interactions are studied to lea…