English

Classification of binary self-dual [76, 38, 14] codes with an automorphism of order 9

Combinatorics 2018-06-15 v1

Abstract

Using the method for constructing binary self-dual codes with an automorphism of order square of a prime number we have classified all binary self-dual codes with length 76 having minimum distance d=14d=14 and automorphism of order 9. Up to equivalence, there are six self-dual [76,38,14][76, 38, 14] codes with an automorphism of type 99-(8,0,4)(8,0,4). All codes obtained have new values of the parameter in their weight enumerator thus more than doubling the number of known values.

Keywords

Cite

@article{arxiv.1711.05710,
  title  = {Classification of binary self-dual [76, 38, 14] codes with an automorphism of order 9},
  author = {Nikolay Yankov and Radka Russeva and Emine Karatash},
  journal= {arXiv preprint arXiv:1711.05710},
  year   = {2018}
}