Non-Binary Quantum Codes from Cyclic Codes over Fp x (Fp + vFp)
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer/Plenum Publishers
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we study cyclic codes over the ring F-p x (F-p + vF(p)), where p is an odd prime and v(2) = v. We first investigate the properties of the ring F-p x (F-p + vF(p)) and the linear codes over this ring. We also define a distance-preserving Gray map from F(p)x(F-p+vF(p)) to F-p(3). We discuss cyclic codes and their dual codes over the ring. Also, we define a set of generators for these codes. As an implementation, we show that quantum error-correcting codes can be obtained from dual containing cyclic codes over the ring by using the CalderbankShor-Steane (CSS) construction. Furthermore, we give some illustrative examples. Finally, we tabulate the non-binary quantum error-correcting codes obtained from cyclic codes over the ring.
Açıklama
Anahtar Kelimeler
Cyclic Codes, Generator Polynomials, Quantum Codes
Kaynak
International Journal of Theoretical Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
62
Sayı
2