The complete intersection theorem for systems of finite sets
European Journal of Combinatorics
Regular Article: The Diametric Theorem in Hamming Spaces驴Optimal Anticodes
Advances in Applied Mathematics
Journal of Combinatorial Theory Series A
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The maximum number of edges spanned by a subset of given diameter in a Hamming space with alphabet size at least three is determined. The binary case was solved earlier by Ahlswede and Khachatrian [A diametric theorem for edges, J. Combin. Theory Ser. A 92(1) (2000) 1-16].