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Projective Planes and Hadamard Designs

โœ Scribed by Chihiro Suetake

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
338 KB
Volume
93
Category
Article
ISSN
0097-3165

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โœฆ Synopsis

In this article we show that projective planes with a small collineation group of perspectivities can be used to construct Hadamard designs.

2001 Academic Press

Ko and Ray-Chaudhuri [7] and Arasu and Jungnickel [1] gave some correspondences from an affine difference set of order n with n#0 (mod 4)

๐Ÿ“œ SIMILAR VOLUMES

Designs from projective planes and PBD b
Designs from projective planes and PBD bases
โœ Malcolm Greig ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 305 KB

The essential theme of this article is the exploitation of known configurations in projective planes in order to construct pairwise balanced designs. Among the results shown are (q 2 + 1)/2 โˆˆ B((q + 1)/2, 2) for all odd prime powers q; the resolution of 31 of the Mullin and Stinson's open cases in t