Entanglement-assisted binary quantum codes from skew cyclic codes over F2 x (F2 + vF2)
Yükleniyor...
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the current paper, we study skew cyclic codes over the ring S := F-2 x (F-2 + vF(2)) with v(2) = v. We investigate the structural properties of skew cyclic codes over the ring S. Also, we describe the dual codes of skew cyclic codes with respect to the Euclidean inner product and the Hermitian inner product. Furthermore, we give a necessary and sufficient condition for a skew cyclic code over S to contain its dual. Using these results, we show that binary quantum error-correcting codes as well as entanglement-assisted quantum error-correcting codes can be constructed from skew cyclic codes over S. Finally, we give examples of binary entanglement-assisted quantum error-correcting codes with good parameters from skew cyclic codes over S.
Açıklama
Anahtar Kelimeler
Skew Cyclic Codes, Generator Polynomials, Dual Codes, Quantum Codes
Kaynak
Quantum Information Processing
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
22
Sayı
5