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arxiv: 1303.0002 · v3 · pith:K2N2KJFRnew · submitted 2013-02-28 · 🧮 math.CO · cs.DM

On calculation of the interweight distribution of an equitable partition

classification 🧮 math.CO cs.DM
keywords partitiondistributionequitableinterweightdistanceformulaskrawtchoukcalculation
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We derive recursive and direct formulas for the interweight distribution of an equitable partition of a hypercube. The formulas involve a three-variable generalization of the Krawtchouk polynomials. Keywords: equitable partition; regular partition; partition design; strong distance invariance; interweight distribution; distance distribution; Krawtchouk polynomial

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