The Diametric Theorem in Hamming Spacesβ
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Rudolf Ahlswede; Levon H. Khachatrian
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Article
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1998
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Elsevier Science
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English
β 222 KB
y g X X counts the number of different components, we determine the maximal cardinality of subsets with a prescribed diameter d or, in another language, anticodes with distance d. We refer to the result as the diametric theorem. In a sense anticodes are dual to codes, which have a prescribed lower