Journal article
Authors list: Jungnickel, Dieter; Metsch, Klaus
Publication year: 2016
Pages: 513-535
Journal: Combinatorica
Volume number: 36
Issue number: 5
ISSN: 0209-9683
eISSN: 1439-6912
DOI Link: https://doi.org/10.1007/s00493-014-3212-2
Publisher: Springer
Abstract:
We start a new characterization of the geometric 2-design AG (d) (n,q) among all simple 2-designs with the same parameters by handling the cases d a {1,2,3,n - 2}. For d not equal 1, our characterization is in terms of line sizes, and for d = 1 in terms of the number of affine hyperplanes. We also show that the number of non-isomorphic resolvable designs with the parameters of AG(1)(n,q) grows exponentially with linear growth of n.
Citation Styles
Harvard Citation style: Jungnickel, D. and Metsch, K. (2016) The characterization problem for designs with the parameters of AGd(n, q), Combinatorica, 36(5), pp. 513-535. https://doi.org/10.1007/s00493-014-3212-2
APA Citation style: Jungnickel, D., & Metsch, K. (2016). The characterization problem for designs with the parameters of AGd(n, q). Combinatorica. 36(5), 513-535. https://doi.org/10.1007/s00493-014-3212-2
Keywords
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