F2F4-skew cyclic codes
Computational and Applied Mathematics, vol.44, no.5, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 44 Issue: 5
- Publication Date: 2025
- Doi Number: 10.1007/s40314-025-03226-7
- Journal Name: Computational and Applied Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, zbMATH
- Keywords: Cyclic codes, Mixed alphabet, Optimal codes, Skew codes
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
In this study, we introduce F2F4-skew cyclic codes as a generalization of skew cyclic codes over F4. We characterize algebraic structures of F2F4-skew cyclic codes by determining their generating polynomials and minimal spanning sets. We also exhibit generator matrices for these codes. Furthermore, we examine the duals of F2F4-skew cyclic codes concerning a certain inner product and identify their generating polynomials. Finally, as an application of F2F4-skew cyclic codes, we present some examples of near-MDS codes over F4 and optimal binary linear codes which are Gray images of F2F4-skew cyclic codes.