## Deep Holes and MDS Extensions of Reed–Solomon Codes

- Krishna Kaipa
- IEEE Transactions on Information Theory
- 2017

- Published 2017 in Adv. in Math. of Comm.
DOI:10.3934/amc.2017057

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.

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