The automorphism group of a self-dual [72, 36, 16] code does not contain S3, A4 or D8

نویسندگان

  • Martino Borello
  • Francesca Dalla Volta
  • Gabriele Nebe
چکیده

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 is isomorphic to the elementary abelian group of order 8.

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عنوان ژورنال:
  • Adv. in Math. of Comm.

دوره 7  شماره 

صفحات  -

تاریخ انتشار 2013