English

A concatenation construction for propelinear perfect codes from regular subgroups of GA(r,2)

Combinatorics 2019-12-17 v2 Information Theory math.IT

Abstract

A code CC is called propelinear if there is a subgroup of Aut(C)Aut(C) of order C|C| acting transitively on the codewords of CC. In the paper new propelinear perfect binary codes of any admissible length more than 77 are obtained by a particular case of the Solov'eva concatenation construction--1981 and the regular subgroups of the general affine group of the vector space over GF(2)GF(2).

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Cite

@article{arxiv.1905.10005,
  title  = {A concatenation construction for propelinear perfect codes from regular subgroups of GA(r,2)},
  author = {I. Yu. Mogilnykh and F. I. Solov'eva},
  journal= {arXiv preprint arXiv:1905.10005},
  year   = {2019}
}