On tight projective designs

On tight projective designs

It is shown that among all tight designs in , where is or , or (quaternions), only 5-designs in (Lyubich, Shatalora Geom Dedicata 86: 169–178, 2001) 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 algeb...

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Veröffentlicht in:Designs, codes, and cryptography codes, and cryptography, 2009-04, Vol.51 (1), p.21-31
1. Verfasser: Lyubich, Yu. I.
Format: Artikel
Sprache:eng
Schlagworte:
Circuits
Coding and Information Theory
Computer Science
Cryptology
Data Structures and Information Theory
Discrete Mathematics in Computer Science
Information and Communication
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Zusammenfassung:It is shown that among all tight designs in , where is or , or (quaternions), only 5-designs in (Lyubich, Shatalora Geom Dedicata 86: 169–178, 2001) 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.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-008-9240-4