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Self-orthogonal and quantum codes over chain rings.
- 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 :
- GRAY codes
LINEAR codes
Subjects
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