On some permutation polynomials over finite fields
Let p be prime, q=pm, and q−1=7s. We completely describe the permutation behavior of the binomial P(x)=xr(1+xes) (1≤e≤6) over a finite field Fq in terms of the sequence {an} defined by the recurrence relation an=an−1+2an−2−an−3 (n≥3) with initial values a0=3, a1=1, and a2=5.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2631 |
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| _version_ | 1832545315834560512 |
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| author | Amir Akbary Qiang Wang |
| author_facet | Amir Akbary Qiang Wang |
| author_sort | Amir Akbary |
| collection | DOAJ |
| description | Let p be prime, q=pm, and q−1=7s. We completely describe
the permutation behavior of the binomial P(x)=xr(1+xes) (1≤e≤6) over a finite field Fq in terms of
the sequence {an} defined by the recurrence relation an=an−1+2an−2−an−3 (n≥3) with initial values a0=3, a1=1, and a2=5. |
| format | Article |
| id | doaj-art-8b250943ae4a456a86e02bc67de09a1f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8b250943ae4a456a86e02bc67de09a1f2025-02-03T07:26:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005162631264010.1155/IJMMS.2005.2631On some permutation polynomials over finite fieldsAmir Akbary0Qiang Wang1Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive West, AB, Lethbridge T1K 3M4, CanadaSchool of Mathematics and Statistics, Carleton University, ON, Ottawa K1S 5B6, CanadaLet p be prime, q=pm, and q−1=7s. We completely describe the permutation behavior of the binomial P(x)=xr(1+xes) (1≤e≤6) over a finite field Fq in terms of the sequence {an} defined by the recurrence relation an=an−1+2an−2−an−3 (n≥3) with initial values a0=3, a1=1, and a2=5.http://dx.doi.org/10.1155/IJMMS.2005.2631 |
| spellingShingle | Amir Akbary Qiang Wang On some permutation polynomials over finite fields International Journal of Mathematics and Mathematical Sciences |
| title | On some permutation polynomials over finite fields |
| title_full | On some permutation polynomials over finite fields |
| title_fullStr | On some permutation polynomials over finite fields |
| title_full_unstemmed | On some permutation polynomials over finite fields |
| title_short | On some permutation polynomials over finite fields |
| title_sort | on some permutation polynomials over finite fields |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2631 |
| work_keys_str_mv | AT amirakbary onsomepermutationpolynomialsoverfinitefields AT qiangwang onsomepermutationpolynomialsoverfinitefields |