{"title":"Quintic polynomials having Galois closure of genus zero with Galois group A5","authors":"R. C. Valentini","doi":"10.1016/J.FFA.2019.05.004","DOIUrl":"https://doi.org/10.1016/J.FFA.2019.05.004","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"118325809","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables","authors":"Umberto Mart'inez-Penas","doi":"10.1016/j.ffa.2020.101687","DOIUrl":"https://doi.org/10.1016/j.ffa.2020.101687","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120147256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Blocking semiovals in PG(2, q2), q odd, admitting PGL(2, q) as an automorphism group","authors":"D. Bartoli, F. Pavese","doi":"10.1016/j.ffa.2018.08.013","DOIUrl":"https://doi.org/10.1016/j.ffa.2018.08.013","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"118803379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Further factorization of xn-1 over a finite field","authors":"Yansheng Wu, Q. Yue, Shuqin Fan","doi":"10.1016/j.ffa.2018.07.007","DOIUrl":"https://doi.org/10.1016/j.ffa.2018.07.007","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128508206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Permutation properties of Dickson and Chebyshev polynomials with connections to number theory","authors":"A. Bluher","doi":"10.1016/j.ffa.2021.101899","DOIUrl":"https://doi.org/10.1016/j.ffa.2021.101899","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"119365047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A note on value sets of quartic polynomials","authors":"R. C. Valentini","doi":"10.1016/j.ffa.2016.01.013","DOIUrl":"https://doi.org/10.1016/j.ffa.2016.01.013","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"119627049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Exponents of skew polynomials","authors":"Ahmed Cherchem, A. Leroy","doi":"10.1145/2768577.2768584","DOIUrl":"https://doi.org/10.1145/2768577.2768584","url":null,"abstract":"We introduce the notion of a relative exponent for two elements in a finite ring and apply this to define and study the exponent of a polynomial in an Ore extension of the form F q t ; ? . This generalizes the classical notion of exponent (a.k.a. order or period) of a polynomial with coefficients in a finite field. The classical connections between the exponent of a polynomial, the order of its roots and of its companion matrix are obtained via the study of a notion of skew order of an element in a finite group.","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121192550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On distinct perpendicular bisectors and pinned distances in finite fields","authors":"Brandon Hanson, Ben D. Lund, O. Roche-Newton","doi":"10.1016/j.ffa.2015.10.002","DOIUrl":"https://doi.org/10.1016/j.ffa.2015.10.002","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"144 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"119829002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}