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Repeated-root constacyclic codes of length 6lps
- Source :
- Advances in Mathematics of Communications; Feb2021, Vol. 15 Issue 1, p167-189, 23p
- Publication Year :
- 2021
-
Abstract
- Let F<subscript>q</subscript> be a finite field with character p and p ≠ 3, l ≠ 3 be different odd primes. In this paper, we study constacyclic codes of length 6lp<superscript>s</superscript> over finite field F<subscript>q</subscript>. The generator polynomials of all constacyclic codes and their duals are obtained. Moreover, we give the characterization and enumeration of linear complementary dual (LCD) and self-dual constacyclic codes of length 6lp<superscript>s</superscript> over F<subscript>q</subscript>. [ABSTRACT FROM AUTHOR]
- Subjects :
- BINARY codes
FINITE fields
CYCLIC codes
POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 19305346
- Volume :
- 15
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Advances in Mathematics of Communications
- Publication Type :
- Academic Journal
- Accession number :
- 148036748
- Full Text :
- https://doi.org/10.3934/amc.2020051