Permutation polynomials of Abelian group rings 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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Several classes of permutation polynomials of the form ( ) ( ) k p t x x + δ + L x − over finite fields are presented in this paper, which is a further investigation on a recent work of Li et al.
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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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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1993
ISSN: 0022-4049
DOI: 10.1016/0022-4049(93)90148-m