- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (5)
- Authors
- Kravtsova, Olga V.
- Contact information
- Kravtsova, Olga V.: Institute of Mathematics and Computer Sciences Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- semifield; right-ordered degree; right-ordered minimal polynomial
- Abstract
We consider the classical notion of a minimal polynomial and apply it to investigations in finite semi- fields. A proper finite semifield has non-associative multiplication, that leads to a number of anomalous properties of one-side-ordered minimal polynomials. The interrelation between the minimal polynomial of an element and the minimal polynomial of its matrix from the spread set is described and illustrated by some semifields of orders 16, 32 and 64
- Pages
- 588–596
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/72080
Journal of Siberian Federal University. Mathematics & Physics / Minimal Polynomials in Finite Semifields
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