Sepideh Farivar

collaborators

3 papers

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…

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.AC2024

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…

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

Goppa Codes: Key to High Efficiency and Reliability in Communications

Hurwitz series rings satisfying a zero divisor property

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