Association Schemes Related to Kasami Codes and KerdockSets

Authors:
D. De Caen;E. R. Van Dam
Affiliations:
Department of Mathematics and Statistics, Queen‘s University, Kingston, Ontario K7L 3N6, Canada;Department of Mathematics and Statistics, Queen‘s University, Kingston, Ontario K7L 3N6, Canada
Venue:
Designs, Codes and Cryptography
Year:
1999

Citing 3
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Abstract

Two new infiniteseries of imprimitive 5-class association schemes are constructed.The first series of schemes arises from forming, in a specialmanner, two edge-disjoint copies of the coset graph of a binaryKasami code (double error-correcting BCH code). The second seriesof schemes is formally dual to the first. The construction appliesvector space duality to obtain a fission scheme of a subschemeof the Cameron-Seidel 3-class scheme of linked symmetric designsderived from Kerdock sets and quadratic forms over GF(2).