44 citations · 57 across the 28 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
cs.IT2013
On the automorphism groups of binary linear codes
Martino Borello
Let C be a binary linear code and suppose that its automorphism group contains a non trivial subgroup G. What can we say about C knowing G? In this paper we collect some answers to…
cs.IT2013
The automorphism group of a self-dual [72,36,16] code is not an elementary abelian group of order 8
Martino Borello
The existence of an extremal self-dual binary linear code C of length 72 is a long-standing open problem. We continue the investigation of its automorphism group: looking at the co…
cs.IT2013★ 3 cited
The automorphism group of a self-dual [72,36,16] code does not contain S_3, A_4, or D_8
Martino Borello, Francesca Dalla Volta, Gabriele Nebe
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 alter…