Non-existence of a simple 3-(16,7,5) design with an automorphism of order 3. Nakic, A. DISCRETE MATHEMATICS, 338(4):555–565, April, 2015. Place: PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS Publisher: ELSEVIER SCIENCE BV Type: Article
doi  abstract   bibtex   
Using recent results concerning tactical decompositions of t-designs with t \textgreater 2, we make a step forward on the long-standing question about the existence of a simple 3-(16, 7, 5) design; if such a design exists, then its full automorphism group has order a power of 2, possibly equal to 1. (C) 2014 Elsevier B.V. All rights reserved.
@article{nakic_non-existence_2015,
	title = {Non-existence of a simple 3-(16,7,5) design with an automorphism of order 3},
	volume = {338},
	issn = {0012-365X},
	doi = {10.1016/j.disc.2014.11.016},
	abstract = {Using recent results concerning tactical decompositions of t-designs with t {\textgreater} 2, we make a step forward on the long-standing question about the existence of a simple 3-(16, 7, 5) design; if such a design exists, then its full automorphism group has order a power of 2, possibly equal to 1. (C) 2014 Elsevier B.V. All rights reserved.},
	language = {English},
	number = {4},
	journal = {DISCRETE MATHEMATICS},
	author = {Nakic, Anamari},
	month = apr,
	year = {2015},
	note = {Place: PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Publisher: ELSEVIER SCIENCE BV
Type: Article},
	keywords = {Automorphism group, Tactical decomposition, t-design},
	pages = {555--565},
}

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