Steiner Forms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F16%3A73426" target="_blank" >RIV/60460709:41310/16:73426 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.14712/1213-7243.2015.182" target="_blank" >http://dx.doi.org/10.14712/1213-7243.2015.182</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14712/1213-7243.2015.182" target="_blank" >10.14712/1213-7243.2015.182</a>
Alternative languages
Result language
angličtina
Original language name
Steiner Forms
Original language description
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).
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Commentationes Mathematicae Universitatis Carolinae
ISSN
0010-2628
e-ISSN
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Volume of the periodical
57
Issue of the periodical within the volume
4
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
10
Pages from-to
527-536
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85011898340