V. Nourozi

activity

20192026

most citedGoppa code and quantum stabilizer codes from plane curves given by separated polynomials

1 citations · 2 across the 15 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

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★ 1 cited

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

Application of the Cartier Operator in Coding Theory

Vahid Nourozi

The $a$ -number is an invariant of the isomorphism class of the $p$ -torsion group scheme. We use the Cartier operator on $H^{0} (A_{2}, Ω^{1})$ to find a closed formula for the $a…

math.NT2024

The $a$ -number of $y^{q^{2} + q + 1} = x^{q^{2} + 1} + x^{q}$ over finite field

Vahid Nourozi, Behrooz Mosallaei

In this paper, we compute a formula for the $a$ -number of curve $X$ given by the equation $y^{q^{2} + q + 1} = x^{q^{2} + 1} - x^{q}$ over the finite field $F_{q^{2}}$ . T…

Goppa Codes: Key to High Efficiency and Reliability in Communications

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

Application of the Cartier Operator in Coding Theory

The a-number of yq2+q+1=xq2+1+xq over finite field

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

The $a$ -number of $y^{q^{2} + q + 1} = x^{q^{2} + 1} + x^{q}$ over finite field