منابع مشابه
New classes of permutation binomials and permutation trinomials over finite fields
Permutation polynomials over finite fields play important roles in finite fields theory. They also have wide applications in many areas of science and engineering such as coding theory, cryptography, combinational design, communication theory and so on. Permutation binomials and trinomials attract people’s interest due to their simple algebraic form and additional extraordinary properties. In t...
متن کاملNew Permutation Trinomials Constructed from Fractional Polynomials
Permutation trinomials over finite fields consititute an active research due to their simple algebraic form, additional extraordinary properties and their wide applications in many areas of science and engineering. In the present paper, six new classes of permutation trinomials over finite fields of even characteristic are constructed from six fractional polynomials. Further, three classes of p...
متن کاملFactorization of Trinomials over Galoisfields
We study the parity of the number of irreducible factors of trinomials over Galois elds of characteristic 2. As a consequence , some suucient conditions for a trinomial being reducible are obtained. For example, x n + ax k + b 2 GF (2 t))x] is reducible if both n; t are even, except possibly when n = 2k, k odd. The case t = 1 was treated by R.G.Swan 10], who showed that x n + x k + 1 is reducib...
متن کاملNew Permutation Trinomials From Niho Exponents over Finite Fields with Even Characteristic
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.
متن کاملOn Two Conjectures about Permutation Trinomials over $\mathbb{F}_{3^{2k}}$
Permutation polynomials with few terms attracts researchers’ interest in recent years due to their simple algebraic form and some additional extraordinary properties. In this paper, by analyzing the quadratic factors of a fifth-degree polynomial and a seventh-degree polynomial over the finite field F32k , two conjectures on permutation trinomials over F32k proposed recently by Li, Qu, Li and Fu...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2017
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2017.03.002