Extended maximal self-orthogonal codes


DURĞUN Y.

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, cilt.11, 2019 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 11 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1142/s1793830919500526
  • Dergi Adı: DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS

Özet

Self-dual and maximal self-orthogonal codes over GF(q), where q is even or q 1(mod 4), are extensively studied in this paper. We prove that every maximal self-orthogonal code can be extended to a self-dual code as in the case of binary Golay code. Using these results, we show that a self-dual code can also be constructed by gluing theory even if the sum of the lengths of the gluing components is odd. Furthermore, the (Hamming) weight enumerator W-(C) over bar(x, y) of a self-dual code (C) over bar is given in terms of a maximal self-orthogonal code C, where (C) over bar is obtained by the extension of C.