Near-MDS codes over some small fields

被引：39
作者：
Dodunekov, SM [1 ]
Landjev, IN [1 ]
机构：
[1] Bulgarian Acad Sci, Inst Math, Sofia 1113, Bulgaria
来源：
DISCRETE MATHEMATICS | 2000年 / 213卷 / 1-3期
关键词：
E-mail address: landjev@bgearn.acad.bg (I.N. Landjev) 1The research was partially supported by the Bulgarian NSF under Contract MM-502=1995. 2The research was partially supported by the Bulgarian NSF under Contract I-506=1995;
D O I：
10.1016/S0012-365X(99)00168-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the problem of finding the maximum possible length m'(k, q) of a near-MDS code of given dimension k over the field with q elements. We obtain the exact values of m'(k,q) for q=2, 3, 4, 5. Some partial results about near-MDS codes in larger fields are also given. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：55 / 65
页数：11
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