Enumeration of irreducible and extended irreducible Goppa codes

Abstract

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 $r\ge 3$ is a positive integer.

arXiv admin note: text overlap with arXiv:1803.00619

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