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Enumeration of irreducible and extended irreducible Goppa codes

Published 26 Mar 2019 in math.NT and cs.DM | (1904.02791v1)

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 $q=pt$ and $r\geq 3$ is a positive integer.

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