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A Characterization of Association Schemes from Affine Spaces

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Abstract

We characterize theassociation schemes from affine spaces as the association schemesin which all relations are equivalence relations (when unitedwith the identity relation). The schemes from affine spaces ofdimension at least three are counterexamples of a conjectureof A. V. Ivanov [Problem 1.3]I on amorphic schemes.

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  1. Dept., Tilburg University, PO Box 90153, 5000, LE Tilburg, The Netherlands

    Edwin R. van Dam

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  1. Edwin R. van Dam
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Dam, E.R.v. A Characterization of Association Schemes from Affine Spaces. Designs, Codes and Cryptography 21, 83–86 (2000). https://doi.org/10.1023/A:1008331526417

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  • DOI: https://doi.org/10.1023/A:1008331526417

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