Infinite families of new semifields |
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| Authors: | Gary L Ebert Giuseppe Marino Olga Polverino Rocco Trombetti |
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| Institution: | (1) Dept. De Matematica Aplicada IV, Univ. Politecnica De Catelunya, Modul C3, Campus Nord, c/Jordi Girona, 1, Barcelona, E-08034, Spain;(2) Department of Pure Mathematics and Computer Algebra, Ghent University, Galglaan 2, B-9000 Gent, Belgium |
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| Abstract: | 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. |
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