SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS
2008 ◽
Vol 04
(05)
◽
pp. 851-857
◽
Keyword(s):
We give necessary and sufficient conditions for a polynomial of the form xr(1 + xv + x2v + ⋯ + xkv)t to permute the elements of the finite field 𝔽q. Our results yield especially simple criteria in case (q - 1)/ gcd (q - 1, v) is a small prime.
1987 ◽
Vol 10
(3)
◽
pp. 535-543
◽
2014 ◽
Vol 13
(05)
◽
pp. 1350162
◽
1990 ◽
Vol 49
(2)
◽
pp. 309-318
◽
2013 ◽
Vol 17
(10)
◽
pp. 1976-1979
◽
2005 ◽
Vol 2005
(16)
◽
pp. 2631-2640
◽
1987 ◽
Vol 30
(1)
◽
pp. 19-27
◽