Constructions and bounds on linear error-block codes


LİNG S., Ozbudak F.

DESIGNS CODES AND CRYPTOGRAPHY, cilt.45, ss.297-316, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 45 Konu: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s10623-007-9119-9
  • Dergi Adı: DESIGNS CODES AND CRYPTOGRAPHY
  • Sayfa Sayıları: ss.297-316

Özet

We obtain new bounds on the parameters and we give new constructions of linear error-block codes. We obtain a Gilbert-Varshamov type construction. Using our bounds and constructions we obtain some infinite families of optimal linear error-block codes over F-2. We also study the asymptotic of linear error-block codes. We define the real valued function alpha (q,m,a) (delta), which is an analog of the important real valued function alpha (q) (delta) in the asymptotic theory of classical linear error-correcting codes. We obtain both Gilbert-Varshamov and algebraic geometry type lower bounds on alpha (q,m,a) (delta). We compare these lower bounds in graphs.