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A generalization of Ore’s theorem on irreducible polynomials over a finite field
-
Alexander A. Nechaev
and
Vladimir O. Popov
Published/Copyright:
August 7, 2015
Abstract
For an arbitrary prime power q, a criterion for irreducibility of a polynomial of the form
over the field K = GF(qt) is established.
Keywords: irreducible polynomials; irreducibility criterion
Received: 2014-10-15
Published Online: 2015-8-7
Published in Print: 2015-8-1
© 2015 by Walter de Gruyter Berlin/Boston
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- On groups with automorphisms generating recurrent sequences of the maximal period
- Classification of correlation-immune and minimal correlation-immune Boolean functions of 4 and 5 variables
- Free commutative medial n-ary groupoids
- Complexity of implementation of parity functions in the implication–negation basis
- Closed classed of three-valued logic that contain essentially multiplace functions
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Articles in the same Issue
- Frontmatter
- On groups with automorphisms generating recurrent sequences of the maximal period
- Classification of correlation-immune and minimal correlation-immune Boolean functions of 4 and 5 variables
- Free commutative medial n-ary groupoids
- Complexity of implementation of parity functions in the implication–negation basis
- Closed classed of three-valued logic that contain essentially multiplace functions
- A generalization of Ore’s theorem on irreducible polynomials over a finite field
- Rings whose finitely generated right ideals are quasi-projective
