EXPLICIT CONSTRUCTIONS OF SOME NON-GABIDULIN LINEAR MAXIMUM RANK DISTANCE CODES

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Otal K., Ozbudak F.

ADVANCES IN MATHEMATICS OF COMMUNICATIONS, cilt.10, sa.3, ss.589-600, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3934/amc.2016028
  • Dergi Adı: ADVANCES IN MATHEMATICS OF COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.589-600
  • Anahtar Kelimeler: Rank metric codes, maximum rank distance (MRD) codes, generalized Gabidulin codes
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We investigate rank metric codes using univariate linearized polynomials and multivariate linearized polynomials together. We examine the construction of maximum rank distance (MRD) codes and the test of equivalence between two codes in the polynomial representation. Using this approach, we present new classes of some non-Gabidulin linear MRD codes.