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


SARI M. , KOLOTOĞLU E.

COMPUTATIONAL & APPLIED MATHEMATICS, cilt.38, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s40314-019-0837-1
  • Dergi Adı: COMPUTATIONAL & APPLIED MATHEMATICS

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.