Factorization of Polynomials Over Finite Fields: Difference between revisions
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[[File:Factorization of Polynomials Over Finite Fields - Space.png|1000px]] | [[File:Factorization of Polynomials Over Finite Fields - Space.png|1000px]] | ||
== Space | == Time-Space Tradeoff == | ||
[[File:Factorization of Polynomials Over Finite Fields - Pareto Frontier.png|1000px]] | [[File:Factorization of Polynomials Over Finite Fields - Pareto Frontier.png|1000px]] | ||
Revision as of 14:46, 15 February 2023
Description
Factor a given polynomial over a finite field into a product of irreducible polynomials.
Parameters
No parameters found.
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
Space Complexity Graph
Time-Space Tradeoff
References/Citation
https://www.sciencedirect.com/science/article/abs/pii/0020019090901954