4 citations · 13 across the 9 of their papers we have counts for
12 papers
Difference sets and tri-weight linear codes from trinomials over binary fields
Omran Ahmadi, Masoud Shafaeiabr
We confirm a conjecture of Cun Sheng Ding~\cite{Ding-Discrete} claiming that the punctured value-sets of a list of eleven trinomials over odd-degree extensions of the binary field…
A note on the stability of trinomials over finite fields
Omran Ahmadi, Kosrov Monsef-Shokri
A polynomial over a field is called stable if all of its iterates are irreducible over . In this paper we study the stability of trinomials over finite fields. Specia…
Fibre Products of Supersingular Curves and the Enumeration of Irreducible Polynomials with Prescribed Coefficients
Omran Ahmadi, Faruk Gologlu, Robert Granger +2
For any positive integers we present formulae for the number of irreducible polynomials of degree over the finite field where the coeffici…
Decomposing Jacobians of Curves over Finite Fields in the Absence of Algebraic Structure
Omran Ahmadi, Gary McGuire, Antonio Rojas-León
We consider the issue of when the L-polynomial of one curve over $\F_q$ divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a h…
Exponential Sums over Points of Elliptic Curves
Omran Ahmadi, Igor E. Shparlinski
We derive a new bound for some bilinear sums over points of an elliptic curve over a finite field. We use this bound to improve a series of previous results on various exponential…
An efficient deterministic test for Kloosterman sum zeros
Omran Ahmadi, Robert Granger
We propose a simple deterministic test for deciding whether or not an element $a \in \F_{2^n}^{\times}$ or $\F_{3^n}^{\times}$ is a zero of the corresponding Kloosterman sum over t…