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math.NT2022
New classes of permutation polynomials with coefficients 1 over finite fields
Hutao Song, Hua Guo, Xiyong Zhang +2
Permutation polynomials with coefficients 1 over finite fields attract researchers' interests due to their simple algebraic form. In this paper, we first construct four classes of…
math.NT2021★ 1 cited
A New Method of Construction of Permutation Trinomials with Coefficients 1
Hua Guo, Shuo Wang, Hutao Song +2
Permutation polynomials over finite fields are an interesting and constantly active research subject of study for many years. They have important applications in areas of mathemati…
math.NT2013
Finding normal bases over finite fields with prescribed trace self-orthogonal relations
Xiyong Zhang, Rongquan Feng, Qunying Liao +1
Normal bases and self-dual normal bases over finite fields have been found to be very useful in many fast arithmetic computations. It is well-known that there exists a self-dual no…