Several classes of permutation trinomials from Niho exponents over finite fields of characteristic 3
2019 ◽
Vol 18
(04)
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pp. 1950069
Keyword(s):
Permutation polynomials have important applications in cryptography, coding theory, combinatorial designs, and other areas of mathematics and engineering. Finding new classes of permutation polynomials is therefore an interesting subject of study. Permutation trinomials attract people’s interest due to their simple algebraic forms and additional extraordinary properties. In this paper, based on a seventh-degree and a fifth-degree Dickson polynomial over the finite field [Formula: see text], two conjectures on permutation trinomials over [Formula: see text] presented recently by Li–Qu–Li–Fu are partially settled, where [Formula: see text] is a positive integer.
1987 ◽
Vol 43
(3)
◽
pp. 375-384
◽
Keyword(s):
Keyword(s):
1987 ◽
Vol 30
(1)
◽
pp. 19-27
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2002 ◽
Vol 8
(4)
◽
pp. 478-490
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2012 ◽
Vol 55
(2)
◽
pp. 418-423
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Keyword(s):
1985 ◽
Vol 38
(3)
◽
pp. 330-350
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2008 ◽
Vol 38
(2)
◽
pp. 195-220
2016 ◽
Vol 12
(06)
◽
pp. 1519-1528