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- W3035035512 abstract "Abstract In this paper we consider in detail the composition of an irreducible polynomial with $$X^2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msup><mml:mi>X</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> and suggest a recurrent construction of irreducible polynomials of fixed degree over finite fields of odd characteristics. More precisely, given an irreducible polynomial of degree n and order $$2^rt$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msup><mml:mn>2</mml:mn><mml:mi>r</mml:mi></mml:msup><mml:mi>t</mml:mi></mml:mrow></mml:math> with t odd, the construction produces $$ord_t(2)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> irreducible polynomials of degree n and order t . The construction can be used for example to search irreducible polynomials with specific requirements on its coefficients." @default.
- W3035035512 created "2020-06-19" @default.
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- W3035035512 date "2020-06-15" @default.
- W3035035512 modified "2023-09-24" @default.
- W3035035512 title "A recurrent construction of irreducible polynomials of fixed degree over finite fields" @default.
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- W3035035512 doi "https://doi.org/10.1007/s00200-020-00439-7" @default.
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