John A. Ryan

most citedEnumeration of irreducible and extended irreducible Goppa codes

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

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2 papers

math.NT2019★ 1 cited

Enumeration of irreducible and extended irreducible Goppa codes

Kondwani Magamba, John A. Ryan

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 $r$ , wh…

math.NT2018

Counting Extended Irreducible Goppa Codes

Kondwani Magamba, John A. Ryan

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.