Title :
Formula for the number of [9,3] MDS codes
Author :
Iampolskaia, Anna V. ; Skorobogatov, Alexei N. ; Sorokin, Evgenii A.
Author_Institution :
Univ. de Provence, Marseille, France
fDate :
11/1/1995 12:00:00 AM
Abstract :
We compute the number of MDS codes of length 9 and dimension 3 over all finite fields, or, what is essentially equivalent, the number of 9-arcs in the projective plane over a finite field
Keywords :
algebraic geometric codes; linear codes; MDS codes; finite fields; linear codes; maximum distance separable codes; number of 9-arcs; projective plane; Codes; Conferences; Cybernetics; Galois fields; Gaussian processes; Geometry; Information theory; Iron alloys; Steel;
Journal_Title :
Information Theory, IEEE Transactions on
