Factorization of Polynomials Over Finite Fields: Difference between revisions

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[[File:Factorization of Polynomials Over Finite Fields - Time.png|1000px]]
[[File:Factorization of Polynomials Over Finite Fields - Time.png|1000px]]
== Space Complexity Graph ==
[[File:Factorization of Polynomials Over Finite Fields - Space.png|1000px]]
== Time-Space Tradeoff ==
[[File:Factorization of Polynomials Over Finite Fields - Pareto Frontier.png|1000px]]


== References/Citation ==  
== References/Citation ==  


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

Latest revision as of 09:10, 28 April 2023

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