On the automorphism Group of a putative code
Vassil Yorgov · IEEE Transactions on Information Theory · 2006
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 to 2imiddot3jmiddot5middot7, 2imiddot3jmiddot7, 2imiddot3jmiddot5, or 2imiddot3jfor some nonnegative integers i and j. We show that the group order is not a multiple of 35 and find that only 22 orders are possible