Abstract
We prove that the automorphism group of an extremal binary self-dual \([120, 60, 24]\) code does not contain elements of order \(29\). Combining this with the known results in the literature, one obtains that \(|G|\) divides \(2^a\cdot 3\cdot 5\cdot 7\cdot 19\cdot 23\) for a non-negative integer \(a\).
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Communicated by J. D. Key.
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de la Cruz, J., Kiermaier, M. & Wassermann, A. The automorphism group of an extremal [120, 60, 24] code does not contain elements of order 29. Des. Codes Cryptogr. 78, 693–702 (2016). https://doi.org/10.1007/s10623-014-0025-7
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DOI: https://doi.org/10.1007/s10623-014-0025-7