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arxiv: 1302.0033 · v1 · pith:XCCAXZ47new · submitted 2013-01-31 · 💻 cs.IT · math.IT

On extremal self-dual codes of length 120

classification 💻 cs.IT math.IT
keywords orderproveself-dualautomorphismautomorphismsbinarycodecodes
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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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