Spectral Bounds for Quasi-Twisted Codes

Ezerman M. F., Ling S., Ozkaya B., Tharnnukhroh J.

IEEE International Symposium on Information Theory (ISIT), Paris, Fransa, 7 - 12 Temmuz 2019, ss.1922-1926 identifier identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/isit.2019.8849734
  • Basıldığı Şehir: Paris
  • Basıldığı Ülke: Fransa
  • Sayfa Sayıları: ss.1922-1926
  • Anahtar Kelimeler: Quasi-twisted code, Roos bound, shift bound, eigenvalues, polynomial matrices, spectral analysis, MINIMUM DISTANCE
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

New lower bounds on the minimum distance of quasi-twisted codes over finite fields are proposed. They are based on spectral analysis and eigenvalues of polynomial matrices. They generalize the Semenov-Trifonov and Zeh-Ling bounds in a manner similar to how the Roos and shift bounds extend the BCH and HT bounds for cyclic codes.