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

Nikolay Yankov, Radka Russeva, Emine Karatash
2018 IEEE Transactions on Information Theory  
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.
doi:10.1109/tit.2018.2846564 fatcat:wqhocje73ffwfex473njometcq