3 papers
math.AG2025
Quantum Error Correction with Goppa Codes from Maximal Curves: Design, Simulation, and Performance
Vahid Nourozi
This paper characterizes Goppa codes of certain maximal curves over finite fields defined by equations of the form . We investigate Algebraic Geometric and quantum s…
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.AC2019
The -number of Certain Hyperelliptic Curves
Vahid Nourozi, Farhad Rahmati, Saeed Tafazolian
In this paper, we compute a formula for the -number of certain hyperelliptic curves given by the equation for infinitely many values of . The same question is st…