arXiv subjects

John A. Ryan

Publications and source records attributed to John A. Ryan.

2 recordsLinked to original sources

arXiv2019

Enumeration of irreducible and extended irreducible Goppa codes

We obtain upper bounds on the number of irreducible and extended irreducible Goppa codes over $GF(p)$ of length $q$ and $q+1$, respectively defined by polynomials of degree $r$, where $q=p^t$ and $r\geq 3$ is a positive integer.

math.NT↗

arXiv2018

Counting Extended Irreducible Goppa Codes

We obtain an upper bound on the number of extended irreducible q-ary Goppa codes of degree $r$ and length $q^n+1$, where $q=p^t$ and $n$ and $r>2$ are prime numbers.

math.NT↗