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

Nikolay Yankov; Radka Russeva; Emine Karatash

doi:10.1109/TIT.2018.2846564

paper

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

arXiv:1711.05710 · doi:10.1109/TIT.2018.2846564

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 $d = 14$ and automorphism of order 9. Up to equivalence, there are six self-dual $[76, 38, 14]$ codes with an automorphism of type $9$ - $(8, 0, 4)$ . All codes obtained have new values of the parameter in their weight enumerator thus more than doubling the number of known values.