Non-Binary Quantum Codes from Cyclic Codes over Fp x (Fp + vFp)

Yükleniyor...
Küçük Resim

Tarih

2023

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

Künye