On an iterated construction of irreducible polynomials over finite fields of even characteristic by Kyuregyan

Title:

On an iterated construction of irreducible polynomials over finite fields of even characteristic by Kyuregyan

Creator:

Ugolini, Simone

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9bdf6e1b-161b-404c-8bd5-3fc6a62b2fd1
uuid:9bdf6e1b-161b-404c-8bd5-3fc6a62b2fd1
issn:0011-4642

Subject:

matematika, polynomy, mathematics, polynomials, finite field, irreducible polynomial, iterative construction, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We deal with the construction of sequences of irreducible polynomials with coefficients in finite fields of even characteristic. We rely upon a transformation used by Kyuregyan in 2002, which generalizes the Q-transform employed previously by Varshamov and Garakov (1969) as well as by Meyn (1990) for the synthesis of irreducible polynomials. While in the iterative procedure described by Kyuregyan the coefficients of the initial polynomial of the sequence have to satisfy certain hypotheses, in the present paper these conditions are removed. We construct infinite sequences of irreducible polynomials of nondecreasing degree starting from any irreducible polynomial., Simone Ugolini., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

243-250

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false