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Automorphisms of Constant Weight Codes and of Divisible Designs
Authors:Ralph-Hardo Schulz  Antonino Giorgio Spera
Affiliation:(1) Freie Universität Berlin, Arnimallee 3, D–14195 Berlin, (Germany);(2) Dipartimento di Matematica ed applicazioni, Universitá di Palermo, Via Archirafi 34, I–90123 Palermo, (Italy)
Abstract:We show that the automorphism group of a divisible design 
$${mathcal{D}}$$
is isomorphic to a subgroup H of index 1 or 2 in the automorphism group 
$${({mathcal{D}})}$$
of the associated constant weight code. Only in very special cases H is not the full automorphism group.
Keywords:Divisible design  constant weight code  automorphism group
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