We define a class of codes admitting a large automorphism group. This family contains the binary extended Hamming code, the hexacode, the Golay codes, the Pless symmetry codes, as well as the [16 4 12]8 -codes constructed by Marcugini et al. A computer search resulted in the construction of codes with new parameters [28 7 18]8, [32 8 20]8, and [39 13 17]4 belonging to this family.
A Family of Highly Symmetric Codes
MARCUGINI, Stefano;PAMBIANCO, Fernanda
2005
Abstract
We define a class of codes admitting a large automorphism group. This family contains the binary extended Hamming code, the hexacode, the Golay codes, the Pless symmetry codes, as well as the [16 4 12]8 -codes constructed by Marcugini et al. A computer search resulted in the construction of codes with new parameters [28 7 18]8, [32 8 20]8, and [39 13 17]4 belonging to this family.File in questo prodotto:
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