A Class of New Permutation Polynomials over F2n
In this paper, according to the known results of some normalized permutation polynomials with degree 5 over F2n, we determine sufficient and necessary conditions on the coefficients b1,b2∈F2n2 such that fx=x3x¯2+b1x2x¯+b2x permutes F2n. Meanwhile, we obtain a class of complete permutation binomials...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5872429 |
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| _version_ | 1832566375380418560 |
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| author | Qian Liu Ximeng Liu Jian Zou |
| author_facet | Qian Liu Ximeng Liu Jian Zou |
| author_sort | Qian Liu |
| collection | DOAJ |
| description | In this paper, according to the known results of some normalized permutation polynomials with degree 5 over F2n, we determine sufficient and necessary conditions on the coefficients b1,b2∈F2n2 such that fx=x3x¯2+b1x2x¯+b2x permutes F2n. Meanwhile, we obtain a class of complete permutation binomials over F2n. |
| format | Article |
| id | doaj-art-ea50e3fc270e4c2f9e369e2813bdbba4 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ea50e3fc270e4c2f9e369e2813bdbba42025-02-03T01:04:21ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/5872429A Class of New Permutation Polynomials over F2nQian Liu0Ximeng Liu1Jian Zou2College of Computer and Data ScienceCollege of Computer and Data ScienceCollege of Computer and Data ScienceIn this paper, according to the known results of some normalized permutation polynomials with degree 5 over F2n, we determine sufficient and necessary conditions on the coefficients b1,b2∈F2n2 such that fx=x3x¯2+b1x2x¯+b2x permutes F2n. Meanwhile, we obtain a class of complete permutation binomials over F2n.http://dx.doi.org/10.1155/2021/5872429 |
| spellingShingle | Qian Liu Ximeng Liu Jian Zou A Class of New Permutation Polynomials over F2n Journal of Mathematics |
| title | A Class of New Permutation Polynomials over F2n |
| title_full | A Class of New Permutation Polynomials over F2n |
| title_fullStr | A Class of New Permutation Polynomials over F2n |
| title_full_unstemmed | A Class of New Permutation Polynomials over F2n |
| title_short | A Class of New Permutation Polynomials over F2n |
| title_sort | class of new permutation polynomials over f2n |
| url | http://dx.doi.org/10.1155/2021/5872429 |
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