{"title":"Specific permutation polynomials over finite fields","authors":"Belhout Bousalmi","doi":"10.20948/mathmontis-2023-56-2","DOIUrl":null,"url":null,"abstract":"We give sufficient conditions for polynomials of special forms to be permutation polynomials over finite field. More specifically, we construct several explicit classes of permutation polynomials from these forms over finite fields. We also present from these polynomials a new family of complete permutation polynomials.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Montisnigri","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20948/mathmontis-2023-56-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We give sufficient conditions for polynomials of special forms to be permutation polynomials over finite field. More specifically, we construct several explicit classes of permutation polynomials from these forms over finite fields. We also present from these polynomials a new family of complete permutation polynomials.
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