Permutation polynomials and group permutation polynomials
نویسندگان
چکیده
منابع مشابه
Permutation Groups and Polynomials
Given a set S with n elements, consider all the possible one-to-one and onto functions from S to itself. This collection of functions is called the permutation group of S, because the functions are simply permuting the elements of S. We notice immediately that it doesn’t matter what the elements of S are (numbers, planets, tacos, etc) just that there are n distinct ones in the set, so we may re...
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This paper mainly studies problems about so called “permutation polynomials modulo m”, polynomials with integer coefficients that can induce bijections over Zm = {0, · · · , m−1}. The necessary and sufficient conditions of permutation polynomials are given, and the number of all permutation polynomials of given degree and the number induced bijections are estimated. A method is proposed to dete...
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We give an exact characterization of permutation polynomials mod ulo n w w a polynomial P x a a x adx d with integral coe cients is a permutation polynomial modulo n if and only if a is odd a a a is even and a a a is even We also characterize polynomials de ning latin squares mod ulo n w but prove that polynomial multipermutations that is a pair of polynomials de ning a pair of orthogonal latin...
متن کاملEnumerating permutation polynomials
We consider the problem of enumerating polynomials over Fq, that have certain coefficients prescribed to given values and permute certain substructures of Fq. In particular, we are interested in the group of N -th roots of unity and in the submodules of Fq. We employ the techniques of Konyagin and Pappalardi to obtain results that are similar to their results in [Finite Fields and their Applica...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2001
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700019110