New Permutation Trinomials From Niho Exponents over Finite Fields with Even Characteristic

Abstract

In this paper, a class of permutation trinomials of Niho type over finite fields with even characteristic is further investigated. New permutation trinomials from Niho exponents are obtained from linear fractional polynomials over finite fields, and it is shown that the presented results are the generalizations of some earlier works.

References in corpus (5)

• Several Classes of Permutation Trinomials From Niho Exponents
• A Class of Binomial Permutation Polynomials
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Cited by in corpus (7)

• Determination of a Class of Permutation Trinomials in Characteristic Three
• On Two Conjectures about Permutation Trinomials over ${\mathbb{F}}_{3^{2k}}$
• Several Classes of Permutation Trinomials over ${\mathbb{F}}_{5^n}$ From Niho Exponents
• A note on permutation polynomials over finite fields
• A new class of permutation trinomials constructed from Niho exponents
• A conjecture on permutation trinomials over finite fields of characteristic two
• Two types of permutation polynomials with special forms