On a class of permutation trinomials over finite fields
dc.authorid | Özkaya, Buket/0000-0003-2658-5441 | |
dc.authorscopusid | 59245404200 | |
dc.authorscopusid | 57190189096 | |
dc.authorwosid | Özkaya, Buket/HJA-5809-2022 | |
dc.contributor.author | Gülmez Temür, Burcu | |
dc.contributor.author | Ozkaya, Buket | |
dc.contributor.other | Mathematics | |
dc.date.accessioned | 2024-09-10T21:34:12Z | |
dc.date.available | 2024-09-10T21:34:12Z | |
dc.date.issued | 2024 | |
dc.department | Atılım University | en_US |
dc.department-temp | [Temur, Burcu Gulmez] Atilim Univ, Dept Math, Ankara, Turkiye; [Ozkaya, Buket] Middle East Tech Univ, Inst Appl Math, Ankara, Turkiye | en_US |
dc.description | Özkaya, Buket/0000-0003-2658-5441 | en_US |
dc.description.abstract | In this paper, we study the permutation properties of the class of trinomials of the form f (x ) = x( 4q+1 )+ lambda (1 )x (q +4) + lambda( 2 )x (2q +3) is an element of F (q) 2 [x ] , where lambda( 1 ), lambda (2) is an element of F (q) and they are not simultaneously zero. We find all necessary and sufficient conditions on lambda (1) and lambda (2) such that f (x ) permutes F( q )2 , where q is odd and q = 2( 2k+1) , k is an element of N. | en_US |
dc.description.sponsorship | We would like to thank the anonymous referees for their valuable suggestions and comments which improved our paper. | en_US |
dc.description.woscitationindex | Science Citation Index Expanded | |
dc.identifier.citation | 0 | |
dc.identifier.doi | 10.55730/1300-0098.3540 | |
dc.identifier.issn | 1300-0098 | |
dc.identifier.issn | 1303-6149 | |
dc.identifier.issue | 4 | en_US |
dc.identifier.scopus | 2-s2.0-85200392961 | |
dc.identifier.scopusquality | Q2 | |
dc.identifier.uri | https://doi.org/10.55730/1300-0098.3540 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14411/7310 | |
dc.identifier.volume | 48 | en_US |
dc.identifier.wos | WOS:001265734400010 | |
dc.identifier.wosquality | Q2 | |
dc.language.iso | en | en_US |
dc.publisher | Tubitak Scientific & Technological Research Council Turkey | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Permutation polynomials | en_US |
dc.subject | finite fields | en_US |
dc.subject | Hasse -Weil bound | en_US |
dc.subject | cryptography | en_US |
dc.title | On a class of permutation trinomials over finite fields | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication | |
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