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On quantum codes from codes over Rm.
- Source :
-
Revista Colombiana de Matemáticas . 2022, Vol. 56 Issue 1, p77-91. 15p. - Publication Year :
- 2022
-
Abstract
- Let Rm = Fq[y]/[ym − 1], where m | q − 1. In this paper, we obtain the structure of linear and cyclic codes over Rm. Also, we introduce a preserving-orthogonality Gray map from Rm to Fmq. Among the main results, we obtain the exact structure of self-orthogonal cyclic codes over Rm to introduce parameters of quantum codes from cyclic codes over Rm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CYCLIC codes
*LINEAR codes
Subjects
Details
- Language :
- English
- ISSN :
- 00347426
- Volume :
- 56
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Revista Colombiana de Matemáticas
- Publication Type :
- Academic Journal
- Accession number :
- 163296869
- Full Text :
- https://doi.org/10.15446/recolma.v56n1.105620