Quasi-twisted codes as contractions of quasi-cyclic codes

Özbudak, Ferruh and Özkaya, Buket (2024) Quasi-twisted codes as contractions of quasi-cyclic codes. Advances in Mathematics of Communications, 18 (2). pp. 394-409. ISSN 1930-5346 (Print) 1930-5338 (Online)

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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.
Item Type: Article
Uncontrolled Keywords: contraction; minimum distance bounds; Quasi-cyclic codes; quasi-twisted codes
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Ferruh Özbudak
Date Deposited: 09 Jun 2024 13:02
Last Modified: 09 Jun 2024 13:02
URI: https://research.sabanciuniv.edu/id/eprint/49175

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