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Self-orthogonal and quantum codes over chain rings.

Authors :
Bajalan, Maryam
Moeini, Mina
Yildiz, Bahattin
Source :
Journal of Algebra Combinatorics Discrete Structures & Applications; 2024, Vol. 11 Issue 2, p139-150, 12p
Publication Year :
2024

Abstract

In this paper, we investigate the Gray images of codes over chain rings, leading to the derivation of infinite families of self-orthogonal linear codes over the residue field F<subscript>q</subscript>. We determine the parameters of optimal self-orthogonal and divisible linear codes. Additionally, we study the Gray images of quasi-twisted codes, resulting in some self-orthogonal Griesmer quasi-cyclic codes. Finally, we employ the CSS construction to derive some quantum codes based on self-orthogonal linear codes. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
GRAY codes
LINEAR codes

Details

Language :
English
ISSN :
2148838X
Volume :
11
Issue :
2
Database :
Complementary Index
Journal :
Journal of Algebra Combinatorics Discrete Structures & Applications
Publication Type :
Academic Journal
Accession number :
178323098
Full Text :
https://doi.org/10.13069/jacodesmath.v11i2.304