THE TRACE DESCRIPTION OF IRREDUCIBLE QUASI-CYCLIC CODES

被引：5
|
作者：
SEGUIN, GE
DROLET, G
机构：
[1] Department of Electrical and Computer Engineering, Royal Military College, Kingston, Ontario
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 1990年 / 36卷 / 06期
关键词：
Index Terms; irreducible quasi-cyclic codes; modules; trace function;
D O I：
10.1109/18.59946
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The notion of a q-ary irreducible quasi-cyclic code of block length n and index r is introduced. We then provide a trace description of such a code in a fashion similar to the trace description of irreducible cyclic codes. In particular, we show that an irreducible quasi-cyclic code of dimension k is completely described by an irreducible cyclic code and r elements from the field Fqk. Using this latter fact, we construct a number of binary irreducible quasi-cyclic codes of index 2 and obtain their weight spectra. © 1990 IEEE
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页码：1463 / 1466
页数：4
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