Counting generalized Reed-Solomon codes

Peter Beelen, David Glynn, Tom Høholdt, Krishna Kaipa

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In this article we count the number of [n, k] generalized Reed–Solomon (GRS) codes, including the codes coming from a non-degenerate conic plus nucleus. We compare our results with known formulae for the number of [n, 3] MDS codes with n = 6, 7, 8, 9.
Original languageEnglish
JournalAdvances in Mathematics of Communication
Issue number4
Pages (from-to)777--790
Publication statusPublished - 2017

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