On the non-existence of linear codes attaining the Griesmer bound

被引:1
|
作者
Maruta, T [1 ]
机构
[1] MEIJO UNIV,JR COLL DIV,TENPA KU,NAGOYA,AICHI 468,JAPAN
关键词
Griesmer bound; linear codes;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A lower bound on the size of a set K in PG(3, q) satisfying \K boolean AND pi\ greater than or equal to q + 2 for any plane pi of PG(3, q), q greater than or equal to 4 is given. It induces the non-existence of linear [n, 4, n + 1 - q(2)]-codes over GF(q) attaining the Griesmer bound for q(3) - q - root q - 3 < n less than or equal to q(3) - q - 1, q greater than or equal to 4.
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页码:1 / 7
页数:7
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