Classification of Binary Self-Dual [76, 38, 14] Codes With an Automorphism of Order 9

摘要

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 weight d = 14 via 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.