We find new extremal [76 38 14] and [78 39 14] binary self-dual codes. The code of length76 is the first known self-dual code with these parameters. It is shadow extremal and the shortest knownâ€¦ (More)

It has been proven in a series of works that the order of the automorphism group of a self-dual binary [72,36,16] code does not exceed five. Up to equivalence, we obtain a parametrization of allâ€¦ (More)

A long standing open question in coding theory is whether a binary self-dual [72,36,16] code exists. It was shown recently that the automorphism group order of such code is equal toâ€¦ (More)