A Putative Doubly Even [72,36,16] Code Does Not Have an Automorphism of Order 9

Nikolay Yankov · IEEE Transactions on Information Theory · 2011

In this paper, we prove that there does not exist a binary self-dual doubly even code with an automorphism of order 9. To do so, we apply a method for constructing binary self-dual codes possessing an automorphism of order for an odd prime .

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