Association Schemes Related to Kasami Codes and Kerdock Sets |
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Authors: | D. de Caen E. R. van Dam |
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Affiliation: | (1) Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, K7L 3N6, Canada |
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Abstract: | Two new infinite series of imprimitive 5-class association schemes are constructed. The first series of schemes arises from forming, in a special manner, two edge-disjoint copies of the coset graph of a binary Kasami code (double error-correcting BCH code). The second series of schemes is formally dual to the first. The construction applies vector space duality to obtain a fission scheme of a subscheme of the Cameron-Seidel 3-class scheme of linked symmetric designs derived from Kerdock sets and quadratic forms over GF(2). |
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Keywords: | association scheme binary code quadratic form |
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