2000 character limit reached
The automorphism group of a self-dual [72,36,16] code does not contain S_3, A_4, or D_8
Published 20 Mar 2013 in cs.IT, math.CO, and math.IT | (1303.4899v2)
Abstract: A computer calculation with Magma shows that there is no extremal self-dual binary code C of length 72, whose automorphism group contains the symmetric group of degree 3, the alternating group of degree 4 or the dihedral group of order 8. Combining this with the known results in the literature one obtains that Aut(C) has order at most 5 or isomorphic to the elementary abelian group of order 8.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
