Engineering↗
Distinct Degree Factorisation
Separating irreducible factors by degree using GCDs against Frobenius powers, and the early-abort strategies that make it fast.
Tag
Polynomial Factorisation
Every page in the KEVOS library tagged Polynomial Factorisation. 5 pages.
Engineering↗
Factoring Polynomials over Algebraic Number Fields
Factoring polynomials whose coefficients lie in a number field, by reduction to the rational case via norms.
Engineering↗
Polynomial Factorisation: Overall Strategy
The three-stage pipeline used to factor polynomials over finite fields and the integers, and why the stages are ordered as they are.
Engineering↗
Prime Decomposition when p Does Not Divide the Index
Decomposing a prime that does not divide the index, by factoring the defining polynomial modulo that prime.
Engineering↗
Factorisation of Polynomials Modulo a Prime
Squarefree decomposition, distinct-degree factorisation by gcd with x^(q^d) − x, equal-degree splitting by Cantor-Zassenhaus, and Berlekamp's linear-algebra approach.
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mathematics 387
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