Sepideh Farivar

collaborators

3 papers

cs.IT2024

Goppa Codes: Key to High Efficiency and Reliability in Communications

Behrooz Mosallaei, Farzaneh Ghanbari, Sepideh Farivar +1

In this paper, we study some codes of algebraic geometry related to certain maximal curves. Quantum stabilizer codes obtained through the self orthogonality of Hermitian codes of t…

math.NT2024

The $a$ -number of $y^{n} = x^{m} + x$ over finite fields

Behrooz Mosallaei, Sepideh Farivar, Farzaneh Ghanbari +1

This paper presents a formula for $a$ -number of certain maximal curves characterized by the equation $y^{\frac{q + 1}{2}} = x^{m} + x$ over the finite field $F_{q^{2}}$ . $a$ -num…

math.AC2023

Hurwitz series rings satisfying a zero divisor property

Behrooz Mosallaei, Moein Afrouzmehr, Danial Abshari +1

In this paper, we study zero divisors in Hurwitz series rings and Hurwitz polynomial rings over general noncommutative rings. We first construct Armendariz rings that are not Armen…

Goppa Codes: Key to High Efficiency and Reliability in Communications

The a-number of yn=xm+x over finite fields

Hurwitz series rings satisfying a zero divisor property

The $a$ -number of $y^{n} = x^{m} + x$ over finite fields