Cyclic subspace codes via subspace polynomials


Otal K. , ÖZBUDAK F.

DESIGNS CODES AND CRYPTOGRAPHY, cilt.85, ss.191-204, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 85 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s10623-016-0297-1
  • Dergi Adı: DESIGNS CODES AND CRYPTOGRAPHY
  • Sayfa Sayıları: ss.191-204

Özet

Subspace codes have been intensely studied in the last decade due to their application in random network coding. In particular, cyclic subspace codes are very useful subspace codes with their efficient encoding and decoding algorithms. In a recent paper, Ben-Sasson et al. gave a systematic construction of subspace codes using subspace polynomials. In this paper, we mainly generalize and improve their result so that we can obtain larger codes for fixed parameters and also we can increase the density of some possible parameters. In addition, we give some relative remarks and explicit examples.