On coefficients of polynomials over finite fields
Copyright policy )On coefficients of polynomials over finite fields
Let \(\mathbb F_q\) be a finite field and let \(f(x)\) be a polynomial over \(\mathbb F_q\) of degree \(\leq q-1\). The authors begin by giving a formula for the coefficients of \(f(x)\) in terms of the elements of \(\mathbb F_q\) moved by \(f\). This extends a result of \textit{G. L. Mullen} and \textit{B. G. Vioreanu} [Bull. Inst. Comb. Appl. 57, 99--106 (2009; Zbl 1228.11175)] for permutation polynomials. Numerous consequences follow. For example, if \(f\) fixes \(k
- University of Sarajevo Bosnia and Herzegovina
- Carleton University Canada
Coefficients, Algebra and Number Theory, Applied Mathematics, permutation polynomials, Polynomials, Polynomials over finite fields, Theoretical Computer Science, Algorithm, Finite fields, finite fields, coefficients, Engineering(all), Number-theoretic algorithms; complexity
Coefficients, Algebra and Number Theory, Applied Mathematics, permutation polynomials, Polynomials, Polynomials over finite fields, Theoretical Computer Science, Algorithm, Finite fields, finite fields, coefficients, Engineering(all), Number-theoretic algorithms; complexity
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