Extending self-orthogonal codes

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Bassa A., TUTAŞ N.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.5, ss.2177-2182, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1905-103
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2177-2182
  • Anahtar Kelimeler: Symmetric bilinear forms, self-dual codes, maximal isotropic subspaces, DUAL CODES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this short note we give an exact count for the number of self-dual codes over a finite field F-q of odd characteristic containing a given self-orthogonal code. This generalizes an analogous result of MacWilliams, Sloane, and Thompson over the field F-2 to arbitrary odd finite fields F-q.