In this article we count the number of generalized Reed-Solomon (GRS) codes of dimension k and length n, including the codes coming from a non-degenerate conic plus nucleus. We compare our results with known formulae for the number of 3-dimensional MDS codes of length n=6,7,8,9.
['Peter Beelen', 'David G. Glynn', 'Tom Høholdt', 'Krishna V. Kaipa']
Counting generalized Reed-Solomon codes.