Finite Fields Their Appl.最新文献

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Quintic polynomials having Galois closure of genus zero with Galois group A5 具有伽罗瓦群A5的伽罗瓦属零闭包的五次多项式
Finite Fields Their Appl. Pub Date : 2019-09-01 DOI: 10.1016/J.FFA.2019.05.004
R. C. Valentini
{"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}
引用次数: 0
Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables 有限域上多元偏多项式环的仿射变换分类
Finite Fields Their Appl. Pub Date : 2019-08-19 DOI: 10.1016/j.ffa.2020.101687
Umberto Mart'inez-Penas
{"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}
引用次数: 2
Blocking semiovals in PG(2, q2), q odd, admitting PGL(2, q) as an automorphism group 阻断PG(2, q2), q奇数中的半椭圆,承认PGL(2, q)是一个自同构群
Finite Fields Their Appl. Pub Date : 2018-11-01 DOI: 10.1016/j.ffa.2018.08.013
D. Bartoli, F. Pavese
{"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}
引用次数: 1
Further factorization of xn-1 over a finite field 有限域上xn-1的进一步分解
Finite Fields Their Appl. Pub Date : 2018-11-01 DOI: 10.1016/j.ffa.2018.07.007
Yansheng Wu, Q. Yue, Shuqin Fan
{"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}
引用次数: 13
On the zeta functions of supersingular curves 关于超奇异曲线的函数
Finite Fields Their Appl. Pub Date : 2018-03-09 DOI: 10.1016/j.ffa.2018.06.009
G. McGuire, Emrah Sercan Yilmaz
{"title":"On the zeta functions of supersingular curves","authors":"G. McGuire, Emrah Sercan Yilmaz","doi":"10.1016/j.ffa.2018.06.009","DOIUrl":"https://doi.org/10.1016/j.ffa.2018.06.009","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"119500230","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}
引用次数: 4
Permutation properties of Dickson and Chebyshev polynomials with connections to number theory 与数论有关的Dickson和Chebyshev多项式的置换性质
Finite Fields Their Appl. Pub Date : 2017-07-21 DOI: 10.1016/j.ffa.2021.101899
A. Bluher
{"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}
引用次数: 6
Differential Addition on Binary Elliptic Curves 二元椭圆曲线的微分加法
Finite Fields Their Appl. Pub Date : 2016-07-13 DOI: 10.1007/978-3-319-55227-9_2
R. R. Farashahi, Seyed Gholamhossein Hosseini
{"title":"Differential Addition on Binary Elliptic Curves","authors":"R. R. Farashahi, Seyed Gholamhossein Hosseini","doi":"10.1007/978-3-319-55227-9_2","DOIUrl":"https://doi.org/10.1007/978-3-319-55227-9_2","url":null,"abstract":"","PeriodicalId":156673,"journal":{"name":"Finite Fields Their Appl.","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115497310","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}
引用次数: 11
A note on value sets of quartic polynomials 关于四次多项式的值集的注释
Finite Fields Their Appl. Pub Date : 2016-05-01 DOI: 10.1016/j.ffa.2016.01.013
R. C. Valentini
{"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}
引用次数: 1
Exponents of skew polynomials 偏态多项式的指数
Finite Fields Their Appl. Pub Date : 2015-06-10 DOI: 10.1145/2768577.2768584
Ahmed Cherchem, A. Leroy
{"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}
引用次数: 5
On distinct perpendicular bisectors and pinned distances in finite fields 在不同的垂直平分线上和有限域的固定距离上
Finite Fields Their Appl. Pub Date : 2014-12-04 DOI: 10.1016/j.ffa.2015.10.002
Brandon Hanson, Ben D. Lund, O. Roche-Newton
{"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}
引用次数: 41
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