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New constructions of divisible designs

✍ Scribed by James A. Davis

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
433 KB
Volume
120
Category
Article
ISSN
0012-365X

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✦ Synopsis

A construction

is given for a (pzO(p+ 1),p2,pZnf'(p+ l),~?"+',p~~(p+ 1)) (p a prime) divisible difference set in the group H x 2, *a+ I where His any abelian group of order pf 1. This can be used to generate a symmetric semi-regular divisible design; this is a new set of parameters for A, #O, and those are fairly rare. We also give a construction for a (pa-1+p '-Z+.~~+p+2,ps+z, p"(p"+p"_'+...+p+1), p'l(pa-l +,,,+p+l),p"-'(p"+.,.+p*+2)) divisible difference set in the group H x .Z,> x Z;.

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