ON SOME PERMUTATION POLYNOMIALS OVER FINITE FIELDS
Let p be prime, q=pm, and q1=7s. We completely describe the permutation behavior of the binomial P(x)=xr(1+xes) (1e6) over a finite field Fq in terms of the sequence {an} defined by the recurrence relation an=an1+2an2an3 (n3) with initial values a0=3, a1=1, and a2=5.
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| Veröffentlicht in: | International Journal of Mathematics and Mathematical Sciences 2005-01, Vol.2005 (16), p.2631-2640-211 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let p be prime, q=pm, and q1=7s. We completely describe the permutation behavior of the binomial P(x)=xr(1+xes) (1e6) over a finite field Fq in terms of the sequence {an} defined by the recurrence relation an=an1+2an2an3 (n3) with initial values a0=3, a1=1, and a2=5. |
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| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/IJMMS.2005.2631 |