| dc.creator |
Çil, Melek |
|
| dc.creator |
KIRLAR, Barış Bülent |
|
| dc.date |
2024-12-01T00:00:00Z |
|
| dc.date.accessioned |
2025-02-25T10:18:47Z |
|
| dc.date.available |
2025-02-25T10:18:47Z |
|
| dc.identifier |
2712d039-27be-4b45-a512-b2aeade71566 |
|
| dc.identifier |
10.1007/s10623-024-01479-7 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/2712d039-27be-4b45-a512-b2aeade71566/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/99116 |
|
| dc.description |
For an odd prime power q, let Fq2=Fq(α), α2=t∈Fq be the quadratic extension of the finite field Fq. In this paper, we consider the irreducible polynomials F(x)=xk-c1xk-1+c2xk-2-⋯-c2qx2+c1qx-1 over Fq2, where k is an odd integer and the coefficients ci are in the form ci=ai+biα with at least one bi≠0. For a given such irreducible polynomial F(x) over Fq2, we provide an algorithm to construct an irreducible polynomial G(x)=xk-A1xk-1+A2xk-2-⋯-Ak-2x2+Ak-1x-Ak over Fq, where the Ai’s are explicitly given in terms of the ci’s. This gives a bijective correspondence between irreducible polynomials over Fq2 and Fq. This fact generalizes many recent results on this subject in the literature. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
On the construction of certain odd degree irreducible polynomials over finite fields |
|
| dc.type |
info:eu-repo/semantics/article |
|