New Entanglement-Assisted Quantum MDS Codes with Maximal Entanglement

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SARI M., KÖROĞLU M. E.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, cilt.60, sa.1, ss.243-253, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s10773-020-04682-z
  • Dergi Adı: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Sayfa Sayıları: ss.243-253
  • Anahtar Kelimeler: Entanglement-assisted quantum codes, Constacyclic codes, Linear complementary dual codes, Hermitian construction, Defining sets
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The construction of maximum distance separable (MDS) linear complementary dual (LCD) codes and entanglement-assisted quantum MDS (EAQMDS) codes have been of a great interest. In this paper, for arbitrary prime power q, we construct two new families of MDS Hermitian LCD codes of length n = q(2)+1/lambda and n = q(2)-1/ r, where rq + 1. By applying the obtained MDS Hermitian LCD codes to the EAQMDS codes, we derive new maximal entanglement EAQMDS codes of parameters [[q(2)+1/lambda, q(2)+1/lambda - l + 1, l; l - 1]](q) where 2 <= l left perpendicular <= q(2)+1+2 lambda/2 lambda right perpendicular and [[q(2)-1/r, q(2)-1/r - gamma, gamma + 1; gamma]](q) where 1 <= gamma <= q(2)-1/2r