Several Classes of Permutation Trinomials over ${\mathbb{F}}_{5^n}$ From Niho Exponents

Abstract

The construction of permutation trinomials over finite fields attracts people's interest recently due to their simple form and some additional properties. Motivated by some results on the construction of permutation trinomials with Niho exponents, by constructing some new fractional polynomials that permute the set of the $(q+1)$-th roots of unity in ${\mathbb{F}}_{q^2}$, we present several classes of permutation trinomials with Niho exponents over ${\mathbb{F}}_{q^2}$, where $q=5^k$.

References in corpus (5)

• Several Classes of Permutation Trinomials From Niho Exponents
• Permutation polynomials on F_q induced from bijective Redei functions on subgroups of the multiplicative group of F_q
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Cited by in corpus (2)

• A note on permutation polynomials over finite fields
• A new class of permutation trinomials constructed from Niho exponents