The number of solutions of a special system of equations in a finite field

DOI10.4064/aa-12-1-77-84zbMath0147.04003OpenAlexW571446603MaRDI QIDQ5524524

No author found.

Publication date: 1966

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/204788

zbMATH Keywords

number of solutionspermutation polynomialsGalois fieldspecial system of equations

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items

A survey on the applications of Niho exponents ⋮ New classes of permutation binomials and permutation trinomials over finite fields ⋮ Permutation polynomials and applications to coding theory ⋮ Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class ⋮ On two conjectures about permutation trinomials over \(\mathbb{F}_{3^{2k}}\) ⋮ Necessary and sufficient conditions of two classes of permutation polynomials ⋮ A class of new permutation trinomials ⋮ Sets of zero-difference balanced functions and their applications ⋮ Unnamed Item ⋮ Determination of a type of permutation binomials over finite fields ⋮ Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure ⋮ Legendre sums and codes related to QR codes ⋮ Binomial permutations over finite fields with even characteristic ⋮ A piecewise construction of permutation polynomials over finite fields ⋮ Two classes of permutation trinomials with Niho exponents ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ On permutation polynomials of prescribed shape ⋮ Groups of permutation polynomials ⋮ Permutation binomials over finite fields ⋮ Permutation binomials over finite fields ⋮ A revisit to a class of permutation quadrinomials