A linear [n, k, d](q) code C is called NMDS if d(C) = n - k and d(C-perpendicular to) = k. In this paper the classification of the [n, 3, n - k](q) NMDS codes is given for q = 7, 8, 9. It has been found using the correspondence between [n, 3, n - k](q) NMDS codes and (n, 3)-arcs of PG(2,q).
Classifications of the [n,3,n-3] NMDS codes over GF(7), GF(8) and GF(9)
MILANI, Alfredo;
2001-01-01
Abstract
A linear [n, k, d](q) code C is called NMDS if d(C) = n - k and d(C-perpendicular to) = k. In this paper the classification of the [n, 3, n - k](q) NMDS codes is given for q = 7, 8, 9. It has been found using the correspondence between [n, 3, n - k](q) NMDS codes and (n, 3)-arcs of PG(2,q).File in questo prodotto:
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