Enumeration of inequivalent irreducible Goppa codes |
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Authors: | John A Ryan |
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Institution: | a Department of Mathematics, Mzuzu University, P/Bag 201, Luwinga, Mzuzu 2, Malawi b Boole Centre for Research in Informatics, University College Cork, Cork, Ireland |
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Abstract: | We consider irreducible Goppa codes over Fq of length qn defined by polynomials of degree r, where q is a prime power and n,r are arbitrary positive integers. We obtain an upper bound on the number of such codes. |
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Keywords: | Classical Goppa codes Enumeration Cauchy-Frobenius theorem |
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