Several Classes of Permutation Trinomials over $\mathbb F_{5^n}$ From Niho Exponents
نویسندگان
چکیده
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 Fq2 , we present several classes of permutation trinomials with Niho exponents over Fq2 , where q = 5 . Index Terms Finite fields, Permutation polynomials, Trinomials, Niho exponents.
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