Self-dual codes over F-2 x (F-2 + vF(2))
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, cilt.13, sa.1, ss.129-141, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.1007/s12095-020-00461-z
- Dergi Adı: CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
- Sayfa Sayıları: ss.129-141
- Anahtar Kelimeler: Codes over direct product rings, Minimum distance, Self-dual codes, Generator matrix
- İstanbul Üniversitesi Adresli: Evet
Özet
In this study we consider Euclidean and Hermitian self-dual codes over the direct product ring F-2 x (F-2 + vF(2)) where v(2) = v. We obtain some theoretical outcomes about self-dual codes via the generator matrices of free linear codes over F-2 x(F-2 + vF(2)). Also, we obtain upper bounds on the minimum distance of linear codes for both the Lee distance and the Gray distance. Moreover, we find some free Euclidean and free Hermitian self-dual codes over F-2 x (F-2 + vF(2)) via some useful construction methods.