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On the non-existence of linear codes attaining the Griesmer bound
Authors:Tatsuya Maruta
Affiliation:(1) Junior College Division, Meijo University, Tenpaku, 468 Nagoya, Japan
Abstract:A lower bound on the size of a set K in PG(3, q) satisfying 
$$|K cap pi | geqslant q + 2$$
for any plane pgr of PG(3, q), qge4 is given. It induces the non-existence of linear [n,4,n + 1 – q2]-codes over GF(q) attaining the Griesmer bound for 
$$q^3  - q - sqrt q  - 3 < n leqslant q^3  - q - 1,q geqslant 4$$
.
Keywords:94B05  51E20
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