On tight projective designs

Mathematics – Combinatorics

Scientific paper

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10 pages, no figures

Scientific paper

It is shown that among all tight designs in FP^n, where F is R, C, or H
(quaternions), other than RP^1, only 5-designs in CP^1 have irrational angle
set. This is the only case of equal ranks of the first and the last irreducible
idempotent in the corresponding Bose-Mesner algebra.

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