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On a class of small 2-designs over gf(q)

✍ Scribed by Masashi Miyakawa; Akihiro Munemasa; Satoshi Yoshiara

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
907 KB
Volume
3
Category
Article
ISSN
1063-8539

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✦ Synopsis

A 2 -(v,k,A;q) design is a pair (V,23) of a v-dimensional vector space V over GF(q) and a collection 23 of k-dimensional subspaces of V such that each 2-dimensional subspace of V is contained in exactly A members of 23. Assuming transitivity of their automorphism groups on the nonzero vectors of V, we give a classification of nontrivial such designs for v = 7, q = 2,3 with small A, together with the nonexistence proof of those designs for v 5 6.0 1995

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