AN EXPONENTIAL BOUND ON THE NUMBER OF NON-ISOTOPIC COMMUTATIVE SEMIFIELDS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10453377" target="_blank" >RIV/00216208:11320/22:10453377 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=kkqLiCZYfF" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=kkqLiCZYfF</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/tran/8785" target="_blank" >10.1090/tran/8785</a>
Alternative languages
Result language
angličtina
Original language name
AN EXPONENTIAL BOUND ON THE NUMBER OF NON-ISOTOPIC COMMUTATIVE SEMIFIELDS
Original language description
We show that the number of non-isotopic commutative semifields of odd order pn is exponential inn when n = 4t and t is not a power of 2. We introduce a new family of commutative semifields and a methodfor proving isotopy results on commutative semifields that we use to deduce the aforementioned bound. Theprevious best bound on the number of non-isotopic commutative semifields of odd order was quadratic in nand given by Zhou and Pott [Adv. Math. 234 (2013)]. Similar bounds in the case of even order were given inKantor [J. Algebra 270 (2003)] and Kantor and Williams [Trans. Amer. Math. Soc. 356 (2004)]
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-19087S" target="_blank" >GA18-19087S: Cryptography based on Finite Fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Transactions of the American Mathematical Society [online]
ISSN
1088-6850
e-ISSN
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Volume of the periodical
2022
Issue of the periodical within the volume
jul
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
210822
UT code for WoS article
000899578200001
EID of the result in the Scopus database
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