An application of constacyclic codes to entanglement-assisted quantum MDS codes
COMPUTATIONAL & APPLIED MATHEMATICS, cilt.38, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38
- Basım Tarihi: 2019
- Doi Numarası: 10.1007/s40314-019-0837-1
- Dergi Adı: COMPUTATIONAL & APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Entanglement-assisted quantum codes, Constacyclic codes, Defining sets, DISTANCE
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
The constructions of entanglement-assisted quantum codes have been studied intensively by researchers. Nevertheless, it is hard to determine the number of shared pairs required for constructing entanglement-assisted quantum codes from linear codes. In this paper, by making use of the notion of decomposition for defining sets of constacyclic codes, we construct several new families of entanglement-assisted quantum MDS codes from constacyclic codes, some of which are of minimum distances greater than q + 1. Moreover, we tabulate their parameters to illustrate what we find in this paper.