منابع مشابه
Permutation Polynomials modulo m
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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متن کاملNull Polynomials modulo m
This paper studies so-called “null polynomials modulo m”, i.e., polynomials with integer coefficients that satisfy f(x) ≡ 0 (mod m) for any integer x. The study on null polynomials is helpful to reduce congruences of higher degrees modulo m and to enumerate equivalent polynomial functions modulo m, i.e., functions over Zm = {0, · · · , m − 1} generated by integer polynomials. The most well-know...
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We give an explicit formula of the inverse polynomial of a permutation polynomial of the form xrf(xs) over a finite field Fq where s | q − 1. This generalizes results in [6] where s = 1 or f = g q−1 s were considered respectively. We also apply our result to several interesting classes of permutation polynomials.
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2001
ISSN: 1071-5797
DOI: 10.1006/ffta.2000.0282