Factorization of Polynomials Over Finite Fields: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Factorization of Polynomials Over Finite Fields (Factorization of Polynomials Over Finite Fields)}} == Description == Factor a given polynomial over a finite field into a product of irreducible polynomials. == Parameters == No parameters found. == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! Reference |- | Schubert's algorithm (...") |
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== Parameters == | == Parameters == | ||
$n$: degree of polynomial | |||
$p$: characteristic of finite field | |||
== Table of Algorithms == | == Table of Algorithms == | ||
| Line 20: | Line 22: | ||
|} | |} | ||
== Time Complexity | == Time Complexity Graph == | ||
[[File:Factorization of Polynomials Over Finite Fields - Time.png|1000px]] | [[File:Factorization of Polynomials Over Finite Fields - Time.png|1000px]] | ||
== References/Citation == | == References/Citation == | ||
https://www-sciencedirect-com.ezproxy.canberra.edu.au/science/article/abs/pii/0020019090901954 | https://www-sciencedirect-com.ezproxy.canberra.edu.au/science/article/abs/pii/0020019090901954 | ||
Latest revision as of 10:10, 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
References/Citation
https://www-sciencedirect-com.ezproxy.canberra.edu.au/science/article/abs/pii/0020019090901954