Generalized Hamming schemes

2010/11/04 by Chris Godsil, Godsil, Chris
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1011.1044

14 pages

arxiv created 2010/11/04 · arxiv updated 2010/11/05

Abstract

We introduce a class of association schemes that generalizes the Hamming scheme. We derive generating functions for their eigenvalues, and use these to obtain a version of MacWilliams theorem.

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