Designs having the parameters of projective and affine spaces

Authors:
D. M. Donovan;M. J. Grannell
Affiliations:
Centre for Discrete Mathematics and Computing, University of Queensland, St. Lucia, Australia 4072;Department of Mathematics and Statistics, The Open University, Milton Keynes, UK MK7 6AA
Venue:
Designs, Codes and Cryptography
Year:
2011

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Abstract

Two constructions are described that yield an improved lower bound for the number of 2-designs with the parameters of PG d (n, q), and a lower bound for the number of resolved 2-designs with the parameters of AG d (n, q).