Corpus ID: 51620993

A note on regular subgroups of the automorphism group of the linear Hadamard code

@inproceedings{IYuMogilnykh2018ANO,
  title={A note on regular subgroups of the automorphism group of the linear Hadamard code},
  author={I.Yu.Mogilnykh},
  year={2018}
}
We consider the regular subgroups of the automorphism group of the linear Hadamard code. These subgroups correspond to the regular subgroups of GA(r, 2), w.t.r action on the vectors of F r 2 , where n = 2r−1 is the length of the Hamadard code. We show that the dihedral group D2r−1 is a regular subgroup of GA(r, 2) only when r = 3. Following the approach of [13] we study the regular subgroups of the Hamming code obtained from the regular subgroups of the automorphism group of the Hadamard code… Expand

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