Elements of high order in finite fields of the form \(\mathbb F_q[x]/(x^m-a)\) (Q1931517)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Elements of high order in finite fields of the form \(\mathbb F_q[x]/(x^m-a)\) |
scientific article; zbMATH DE number 6125341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elements of high order in finite fields of the form \(\mathbb F_q[x]/(x^m-a)\) |
scientific article; zbMATH DE number 6125341 |
Statements
Elements of high order in finite fields of the form \(\mathbb F_q[x]/(x^m-a)\) (English)
0 references
14 January 2013
0 references
For any finite extension field \(\mathbb F_q[x]/(x^m-a)\), the author constructs elements of order at least \(2^{\lfloor\sqrt[3]{2m}\rfloor}\).
0 references
finite field
0 references
multiplicative order
0 references
high order elements
0 references
Kummer polynomial
0 references
