Xiutao Feng

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20162026

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math.NT2023

A classification of permutation binomials of the form $x^{i} + a x$ over $F_{2^{n}}$ for dimensions up to 8

Yi Li, Xiutao Feng, Qiang Wang

Permutation polynomials with few terms (especially permutation binomials) attract many people due to their simple algebraic structure. Despite the great interests in the study of p…

math.NT2017

A Recursive Construction of Permutation Polynomials over $F_{q^{2}}$ with Odd Characteristic from Rédei Functions

Shihui Fu, Xiutao Feng, Dongdai Lin +1

In this paper, we construct two classes of permutation polynomials over $F_{q^{2}}$ with odd characteristic from rational Rédei functions. A complete characterization of the…

math.NT2017

Further results on complete permutation monomials over finite fields

Xiutao Feng, Dongdai Lin, Liping Wang +1

In this paper, we construct some new classes of complete permutation monomials with exponent $d = \frac{q ^{n} - 1}{q - 1}$ using AGW criterion (a special case). This proves two recent conj…

A classification of permutation binomials of the form xi+ax over F2n​ for dimensions up to 8

A Recursive Construction of Permutation Polynomials over Fq2​ with Odd Characteristic from Rédei Functions

Further results on complete permutation monomials over finite fields

A classification of permutation binomials of the form $x^{i} + a x$ over $F_{2^{n}}$ for dimensions up to 8

A Recursive Construction of Permutation Polynomials over $F_{q^{2}}$ with Odd Characteristic from Rédei Functions