The number of MDS [7, 3] codes on finite fields of characteristic 2 |
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| Authors: | Robert Rolland |
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| Affiliation: | (1) Équipe C.N.R.S. Arithmétique et Théorie de l'Information C.I.R.M., Luminy Case 916, F-13288 Marseille cedex 9, France |
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| Abstract: | A code of lengthn, dimensionk and minimum distanced ismaximum distance separable (MDS) ifk+d=n+1. We give the number of MDS codes of length 7 and dimension 3 on finite fields withq elements whereq=2
m
. In order to get this number, we compute the number of configurations of seven points in the projective plane overF
q
, no three of which are collinear. |
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| Keywords: | Coding theory MDS codes Finite projective geometries |
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