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Diskretnaya Matematika, 2015, Volume 27, Issue 1, Pages 108–110
DOI: https://doi.org/10.4213/dm1318 (Mi dm1318) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A generalization of Ore's theorem on irreducible polynomials over a finite field

A. A. Nechaeva, V. O. Popovb

a Academy of Criptography of Russia
b CRYPTO-PRO
Full-text PDF (369 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm1318
Abstract: For an arbitrary prime power $q$, a criterion for irreducibility of a polynomial of the form
$$ F(x) = x^{q^{m}-1}+a_{m-1}x^{q^{m-1}-1}+\ldots+a_1x^{q-1}+a_0, \ a_0\neq 0, $$
over the field $K = GF(q^t)$ is established.
Keywords: irreducible polynomials, irreducibility criterion.
Received: 15.10.2014
English version:
Discrete Mathematics and Applications, 2015, Volume 25, Issue 4, Pages 241–243
DOI: https://doi.org/10.1515/dma-2015-0023
Bibliographic databases:
Document Type: Article
UDC: 512.622
Language: Russian
Citation: A. A. Nechaev, V. O. Popov, “A generalization of Ore's theorem on irreducible polynomials over a finite field”, Diskr. Mat., 27:1 (2015), 108–110; Discrete Math. Appl., 25:4 (2015), 241–243
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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