an:06110664
Zbl 1254.05008
Fernando, Neranga; Hou, Xiang-Dong
A piecewise construction of permutation polynomials over finite fields
EN
Finite Fields Appl. 18, No. 6, 1184-1194 (2012).
00310839
2012
j
11T06
finite field; normal basis; permutation polynomial
Summary: We describe a piecewise construction of permutation polynomials over a finite field \(\mathbb{F}_{q}\) which uses a subgroup of \(\mathbb{F}_q^\ast\), a ``selection'' function, and several ``case'' functions.
Permutation polynomials obtained by this construction unify and generalize several recently discovered families of permutation polynomials.