Classification of Permutation Polynomials of the Form <i>x</I><sup>3< of F<sub><i>q</I>2< Where <i>g</I>(<i>x< = <i>x</I><sup>3< + <i>bx</I> Plus <i>c</I> and <i>b</I>, <i>c</I> ∈ F<i><sub>q</Sub><
| dc.contributor.author | Ozbudak, Ferruh | |
| dc.contributor.author | Temur, Burcu Gulmez | |
| dc.date.accessioned | 2024-07-05T15:17:39Z | |
| dc.date.available | 2024-07-05T15:17:39Z | |
| dc.date.issued | 2022 | |
| dc.description | Ozbudak, Ferruh/0000-0002-1694-9283 | en_US |
| dc.description.abstract | We classify all permutation polynomials of the form x(3) g(x(q-1)) of F-q2 where g(x) = x(3) + bx + c and b, c is an element of F-q*. Moreover we find new examples of permutation polynomials and we correct some contradictory statements in the recent literature. We assume that gcd(3, q -1) = 1 and we use a well known criterion due to Wan and Lidl, Park and Lee, Akbary and Wang, Wang, and Zieve. | en_US |
| dc.description.sponsorship | METU Coordinatorship of Scientific Research Projects [GAP-101-2021-10755] | en_US |
| dc.description.sponsorship | We would like to thank the anonymous referees for their valuable suggestions and comments. Ferruh ozbudak is supported partially by METU Coordinatorship of Scientific Research Projects via Grant GAP-101-2021-10755. | en_US |
| dc.identifier.doi | 10.1007/s10623-022-01052-0 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.issn | 1573-7586 | |
| dc.identifier.scopus | 2-s2.0-85130380578 | |
| dc.identifier.uri | https://doi.org/10.1007/s10623-022-01052-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1753 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Designs, Codes and Cryptography | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Finite fields | en_US |
| dc.subject | Permutation polynomials | en_US |
| dc.subject | Absolutely irreducible | en_US |
| dc.title | Classification of Permutation Polynomials of the Form <i>x</I><sup>3< of F<sub><i>q</I>2< Where <i>g</I>(<i>x< = <i>x</I><sup>3< + <i>bx</I> Plus <i>c</I> and <i>b</I>, <i>c</I> ∈ F<i><sub>q</Sub>< | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Ozbudak, Ferruh/0000-0002-1694-9283 | |
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| gdc.author.wosid | Temür, Burcu Gülmez/ABF-4807-2021 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ozbudak, Ferruh] Middle East Tech Univ, Dept Math, Ankara, Turkey; [Ozbudak, Ferruh] Middle East Tech Univ, Inst Appl Math, Ankara, Turkey; [Temur, Burcu Gulmez] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey | en_US |
| gdc.description.endpage | 1556 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1537 | en_US |
| gdc.description.volume | 90 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | Algebraic coding theory; cryptography (number-theoretic aspects) | |
| gdc.oaire.keywords | permutation polynomials | |
| gdc.oaire.keywords | Special polynomials in general fields | |
| gdc.oaire.keywords | finite fields | |
| gdc.oaire.keywords | Polynomials over finite fields | |
| gdc.oaire.keywords | absolutely irreducible | |
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| gdc.virtual.author | Gülmez Temür, Burcu | |
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