Some permutation polynomials over finite fields
نویسندگان
چکیده
منابع مشابه
Some New Permutation Polynomials over Finite Fields
In this paper, we construct a new class of complete permutation monomials and several classes of permutation polynomials. Further, by giving another characterization of opolynomials, we obtain a class of permutation polynomials of the form G(x) + γTr(H(x)), where G(X) is neither a permutation nor a linearized polynomial. This is an answer to the open problem 1 of Charpin and Kyureghyan in [P. C...
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Let Fq be a finite field of q = pm elements with characteristic p. A polynomial P(x) ∈ Fq[x] is called a permutation polynomial of Fq if P(x) induces a bijective map from Fq to itself. In general, finding classes of permutation polynomials of Fq is a difficult problem (see [3, Chapter 7] for a survey of some known classes). An important class of permutation polynomials consists of permutation p...
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Permutation polynomials over finite fields constitute an active research area and have applications in many areas of science and engineering. In this paper, four classes of monomial complete permutation polynomials and one class of trinomial complete permutation polynomials are presented, one of which confirms a conjecture proposed by Wu et al. (Sci. China Math., to appear. Doi: 10.1007/s11425-...
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We give necessary and sufficient conditions for a polynomial of the form x(1 + x + x + · · · + x) to permute the elements of the finite field Fq. Our results yield especially simple criteria in case (q − 1)/ gcd(q − 1, v) is a small prime.
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We present new classes of permutation polynomials over finite fields. If q is the order of a finite field, some polynomials are of form xrf(x(q−1)/d), where d|(q − 1). Other permutation polynomials are related with the trace function. 2000 Mathematics Subject Classification: Primary 11T06.
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ژورنال
عنوان ژورنال: Applicable Algebra in Engineering, Communication and Computing
سال: 2015
ISSN: 0938-1279,1432-0622
DOI: 10.1007/s00200-015-0260-9