有限域上的特定置换多项式

Belhout Bousalmi
{"title":"有限域上的特定置换多项式","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":"{\"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}","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

摘要

给出了有限域上特殊形式多项式是置换多项式的充分条件。更具体地说,我们从这些形式在有限域上构造了几个显式的置换多项式类。我们也从这些多项式中得到了一类新的完全置换多项式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Specific permutation polynomials over finite fields
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.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信