Codes from the incidence matrices of graphs on 3-sets

被引：15
|
作者：
Fish, W. [1 ]
Key, J. D. [1 ]
Mwambene, E. [1 ]
机构：
[1] Univ Western Cape, Dept Math & Appl Math, ZA-7535 Bellville, South Africa
来源：
DISCRETE MATHEMATICS | 2011年 / 311卷 / 16期
关键词：
Codes; Uniform subset graphs; Line graphs; Permutation decoding; BINARY-CODES; SETS;
D O I：
10.1016/j.disc.2011.04.029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We examine the p-ary linear codes from incidence matrices of the three uniform subset graphs with vertex set the set of subsets of size 3 of a set of size n, with adjacency defined by two vertices as 3-sets being adjacent if they have zero, one or two elements in common, respectively. All the main parameters of the codes and the nature of the minimum words are obtained, and it is shown that the codes can be used for full error-correction by permutation decoding. We examine also the binary codes of the line graphs of these graphs. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：1823 / 1840
页数：18
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