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This article is cited in 1 scientific paper (total in 1 paper)
Minimal polynomials in finite semifields
Olga V. Kravtsova Institute of Mathematics and Computer Sciences,
Siberian Federal University,
Svobodny, 79, Krasnoyarsk, 660041,
Russia
Abstract:
We consider the classical notion of a minimal polynomial and apply it to investigations in finite semifields. 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.
Keywords:
semifield, right-ordered degree, right-ordered minimal polynomial.
Received: 13.02.2018 Received in revised form: 23.04.2018 Accepted: 20.06.2018
Citation:
Olga V. Kravtsova, “Minimal polynomials in finite semifields”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018), 588–596
Linking options:
https://www.mathnet.ru/eng/jsfu703 https://www.mathnet.ru/eng/jsfu/v11/i5/p588
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Abstract page: | 157 | Full-text PDF : | 75 | References: | 21 |
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