Self-dual codes over F-2 x (F-2 + vF(2))

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Atıf İçin Kopyala

Aksoy R., Çalışkan F.

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, cilt.13, sa.1, ss.129-141, 2021 (SCI-Expanded)

• 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.