Some self-dual codes invariant under the Hall–Janko group

Journal of Algebra(2007)

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Abstract
We construct self-dual codes of length 100 invariant under the Hall–Janko group J2. We also construct a 2-(100,22,168) design with the automorphism group J2:2, which is the extension of J2 by its outer automorphism.
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Key words
Hall–Janko group,Automorphism group,Rank 3 graph,Self-dual code,2-Design
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