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On extremal self-dual codes of length 120

Published 31 Jan 2013 in cs.IT and math.IT | (1302.0033v1)

Abstract: We prove that the only primes which may divide the order of the automorphism group of a putative binary self-dual doubly-even [120, 60, 24] code are 2, 3, 5, 7, 19, 23 and 29. Furthermore we prove that automorphisms of prime order $p \geq 5$ have a unique cycle structure.

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