Counting generalized Reed-Solomon codes
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American Institute of Mathematical Sciences
Abstract
In this article we count the number of [n,k][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][n,3] MDS codes with n=6,7,8,9n=6,7,8,9.
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Advances in Mathematics of Communications, 11(4), 777-790.