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On the Achievement of the Griesmer Bound
Authors:Tatsuya Maruta
Affiliation:(1) Aichi Prefectural Women`s Junior College, Mizuho, Nagoya, 467, Japan
Abstract:
The main theorem in this paper is that there does not exist an [n,k,d]q code with d = (k-2)qk-1 - (k-1)qk-2 attaining the Griesmer bound for q ge k, k=3,4,5 and for q ge 2k-3, k ge 6.
Keywords:minimum length bounds  linear codes  projective spaces
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