A Specific Type of Permutation and Complete Permutation Polynomials Over Finite Fields

dc.authorwosid Temür, Burcu Gülmez/ABF-4807-2021
dc.contributor.author Ongan, Pinar
dc.contributor.author Gülmez Temür, Burcu
dc.contributor.author Temur, Burcu Gulmez
dc.contributor.author Gülmez Temür, Burcu
dc.contributor.other Mathematics
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:39:02Z
dc.date.available 2024-07-05T15:39:02Z
dc.date.issued 2020
dc.department Atılım University en_US
dc.department-temp [Ongan, Pinar] Middle East Tech Univ, Inst Appl Math, Univ Mahallesi Dumlupinar Bulvari 1, TR-06800 Ankara, Turkey; [Temur, Burcu Gulmez] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey en_US
dc.description.abstract In this paper, we study polynomials of the form f(x) = x (qn-1/q-1+1) + bx is an element of F-qn[x], where n = 5 and list all permutation polynomials (PPs) and complete permutation polynomials (CPPs) of this form. This type of polynomials were studied by Bassalygo and Zinoviev for the cases n = 2 and n = 3, Wu, Li, Helleseth and Zhang for the case n = 4, p not equal 2, Bassalygo and Zinoviev answered the question for the case n = 4, p= 2 and finally by Bartoli et al. for the case n = 6. Here, we determine all PPs and CPPs for the case n = 5. en_US
dc.identifier.citationcount 3
dc.identifier.doi 10.1142/S021949882050067X
dc.identifier.issn 0219-4988
dc.identifier.issn 1793-6829
dc.identifier.issue 4 en_US
dc.identifier.uri https://doi.org/10.1142/S021949882050067X
dc.identifier.uri https://hdl.handle.net/20.500.14411/3148
dc.identifier.volume 19 en_US
dc.identifier.wos WOS:000534370400007
dc.identifier.wosquality Q3
dc.institutionauthor Gülmez Temür, Burcu
dc.language.iso en en_US
dc.publisher World Scientific Publ Co Pte Ltd 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.title A Specific Type of Permutation and Complete Permutation Polynomials Over Finite Fields en_US
dc.type Article en_US
dc.wos.citedbyCount 2
dspace.entity.type Publication
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