Generalized Hamming schemes

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.

14 pages

Cited by in corpus (3)

• Complex Hadamard Matrices, Instantaneous Uniform Mixing and Cubes
• Hamming graphs in Nomura Algebras
• Uniform Mixing on Cayley Graphs