Engineering↗
Hensel Lifting for Polynomial Factors
Lifting a factorisation modulo a prime to a factorisation modulo a prime power, the quadratic variant, and the coprimality condition.
Tag
Hensel Lifting
Every page in the KEVOS library tagged Hensel Lifting. 3 pages.
Engineering↗
Square Roots Modulo a Prime: the Shanks-Tonelli Algorithm
Extracting square roots modulo a prime: the easy congruence classes, the general Shanks-Tonelli algorithm, and lifting to prime powers.
Engineering↗
Hensel Lifting and Factorisation over the Integers
Hensel's lemma and quadratic lifting, Mignotte's coefficient bounds, the exponential recombination problem, and the LLL-based polynomial-time solution.
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