QUASI-TWISTED CODES AS CONTRACTIONS OF QUASI-CYCLIC CODES
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, vol.18, no.2, pp.394-409, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 18 Issue: 2
- Publication Date: 2024
- Doi Number: 10.3934/amc.2023041
- Journal Name: ADVANCES IN MATHEMATICS OF COMMUNICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
- Page Numbers: pp.394-409
- Middle East Technical University Affiliated: Yes
Abstract
We consider the quasi-twisted codes as contractions of quasi-cyclic codes and construct a family of q-ary quasi-cyclic codes whose codewords have r-divisible weights, where r | q - 1. We show that any quasi-cyclic code of co-index divisible by r is a direct sum of r-divisible quasi-cyclic codes.