On the number of automorphisms of a singly generated automaton

Let C be a binary extremal self-dual code of length n ≥ 48. We prove that for each σ ∈ Aut(C) of prime order p ≥ 5 the number of fixed points in the permutation action on the coordinate positions is bounded by the number of p-cycles. It turns out that ...

The only example of a binary doubly-even self-dual [120,60,20] code was found in 2005 by Gaborit et al. (IEEE Trans Inform theory 51 , 402---407 2005). In this work we present 25 new binary doubly-even self-dual [120,60,20] codes having an automorphism ...

All singly-even self-dual [40,20,8] binary codes which have an automorphism of prime order p \geq 5 are obtained up to equivalence. There are two inequivalent codes with an automorphism of order 7 and 37 inequivalent codes with an automorphism of order ...