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: Articledoi 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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