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Dihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes.
- Source :
-
Applicable Algebra in Engineering, Communication & Computing . Jul2023, p1-21. - Publication Year :
- 2023
-
Abstract
- In this paper, we study dihedral codes with 1-dimensional hulls and we determine precisely when dihedral codes over finite fields with 1-dimensional hulls exist. Moreover, we show that these codes come canonically in pairs. We also introduce 1-dimensional linear complementary pairs of dihedral codes and examine the properties of this class of codes. As an application, we obtain 1-dimensional linear complementary pair of dihedral codes, which are either optimal or near optimal. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09381279
- Database :
- Academic Search Index
- Journal :
- Applicable Algebra in Engineering, Communication & Computing
- Publication Type :
- Academic Journal
- Accession number :
- 165038865
- Full Text :
- https://doi.org/10.1007/s00200-023-00617-3