Counting generalized Reed-Solomon codes

KAIPA, KRISHNA; Beelen, Peter; Hoholdt, Tom; Glynn, David

DR Home
→
PUBLICATIONS & PATENTS
→
JOURNAL ARTICLES
→
View Item

Counting generalized Reed-Solomon codes

Beelen, Peter; Glynn, David; Hoholdt, Tom; KAIPA, KRISHNA

URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3353 https://doi.org/10.3934/amc.2017057 Date: 2017-11

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.

Show full item record