Factorization of Polynomials Over Finite Fields (Factorization of Polynomials Over Finite Fields)

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Description

Factor a given polynomial over a finite field into a product of irreducible polynomials.

Parameters

$n$: degree of polynomial

$p$: characteristic of finite field

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Schubert's algorithm 1940 $O(n^{3})$ $O(n)$ Exact Deterministic

Time Complexity Graph

Factorization of Polynomials Over Finite Fields - Time.png

References/Citation

https://www.sciencedirect.com/science/article/abs/pii/0020019090901954