An application of constacyclic codes to entanglement-assisted quantum MDS codes

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Sarı M., Kolotoğlu E.

COMPUTATIONAL & APPLIED MATHEMATICS, cilt.38, 2019 (SCI-Expanded) identifier identifier

  • 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.