On the Automorphism Group of a Doubly-Even $(72,36,16)$ Code

Stefka Bouyuklieva

doi:https://doi.org/10.1109/tit.2004.825252

On the Automorphism Group of a Doubly-Even $(72,36,16)$ Code

Stefka Bouyuklieva · IEEE Transactions on Information Theory · 2004

We prove that a putative doubly-even (72,36,16) code has no automorphism of order 3 with fixed points. Moreover, such a code has no automorphism of an odd order greater than 7. Eventually, we prove that 25 and 49 do not divide the order of its automorphism group.

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