Infinite families of new semifields

Autor: Rocco Trombetti, Olga Polverino, Gary L. Ebert, Giuseppe Marino
Přispěvatelé: Ebert, G., Marino, Giuseppe, Polverino, Olga, Trombetti, R., Ebert, G. L., Marino, G., Polverino, O., Trombetti, Rocco
Rok vydání: 2009
Předmět:
Zdroj: Combinatorica. 29:637-663
ISSN: 1439-6912
0209-9683
DOI: 10.1007/s00493-009-2406-5
Popis: We construct six new infinite families of finite semifields, all of which are two-dimensional over their left nuclei. We give constructions for both even and odd characteristics when the left nucleus has odd dimension over the center. The characteristic is odd in the one family in which the left nucleus has even dimension over the center. Spread sets of linear maps are used in all the constructions.
Databáze: OpenAIRE
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