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- W2058779619 abstract "It is known that univariate polynomials over finite local rings factor uniquely into primary pairwise coprime factors. Primary polynomials are not necessarily irreducible. Here we describe a factorisation into irreducible factors for primary polynomials over Z4 and more generally over Galois rings of characteristic p2. An algorithm is also given. As an application, we factor xn-1 and xn+1 over such rings." @default.
- W2058779619 created "2016-06-24" @default.
- W2058779619 creator A5052214880 @default.
- W2058779619 date "2005-01-01" @default.
- W2058779619 modified "2023-10-18" @default.
- W2058779619 title "Factoring polynomials over <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mrow><mml:mi mathvariant=double-struck>Z</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:math> and over certain Galois rings" @default.
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- W2058779619 doi "https://doi.org/10.1016/j.ffa.2004.05.001" @default.
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