Steiner forms
Commentationes Mathematicae Universitatis Carolinae (2016)
- Volume: 57, Issue: 4, page 527-536
- ISSN: 0010-2628
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topHora, Jan. "Steiner forms." Commentationes Mathematicae Universitatis Carolinae 57.4 (2016): 527-536. <http://eudml.org/doc/287542>.
@article{Hora2016,
abstract = {A trilinear alternating form on dimension $n$ can be defined based on a Steiner triple system of order $n$. We prove some basic properties of these forms and using the radical polynomial we show that for dimensions up to $15$ nonisomorphic Steiner triple systems provide nonequivalent forms over $GF(2)$. Finally, we prove that Steiner triple systems of order $n$ with different number of subsystems of order $(n-1)/2$ yield nonequivalent forms over $GF(2)$.},
author = {Hora, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {trilinear alternating form; Steiner triple system; radical polynomial},
language = {eng},
number = {4},
pages = {527-536},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Steiner forms},
url = {http://eudml.org/doc/287542},
volume = {57},
year = {2016},
}
TY - JOUR
AU - Hora, Jan
TI - Steiner forms
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 4
SP - 527
EP - 536
AB - A trilinear alternating form on dimension $n$ can be defined based on a Steiner triple system of order $n$. We prove some basic properties of these forms and using the radical polynomial we show that for dimensions up to $15$ nonisomorphic Steiner triple systems provide nonequivalent forms over $GF(2)$. Finally, we prove that Steiner triple systems of order $n$ with different number of subsystems of order $(n-1)/2$ yield nonequivalent forms over $GF(2)$.
LA - eng
KW - trilinear alternating form; Steiner triple system; radical polynomial
UR - http://eudml.org/doc/287542
ER -
References
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