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On the automorphism group of a doubly-even (72,36,16) code

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1 Author(s)
Bouyuklieva, S. ; Dept. of Math. & Informatics, Univ. of Veliko Tarnovo, Bulgaria

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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Information Theory, IEEE Transactions on  (Volume:50 ,  Issue: 3 )