GREEDY CODES

被引:33
作者
BRUALDI, RA [1 ]
PLESS, VS [1 ]
机构
[1] UNIV ILLINOIS,DEPT MATH,CHICAGO,IL 60680
基金
美国国家科学基金会;
关键词
D O I
10.1016/0097-3165(93)90085-M
中图分类号
O1 [数学];
学科分类号
0701 [数学]; 070101 [基础数学];
摘要
Given an ordered basis of F2n and an integer d, we define a greedy algorithm for constructing a code of minimum distance at least d. We show that these greedy codes are linear and construct a parity check matrix for them. For ordered bases which have a triangular form we are able to give a lower bound on the dimension of greedy codes. Lexicodes are instances of greedy codes. There are examples of greedy codes which are better than lexicodes. © 1993, Academic Press. All rights reserved.
引用
收藏
页码:10 / 30
页数:21
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