A note on interpolation of permutations of a subset of a finite field

Authors

  • C. Castillo University of Delaware
  • R. S. Coulter University of Delaware
  • S. Smith University of Delaware

Keywords:

interpolation, permutation polynomials

Abstract

We determine several variants of the classical interpolation formula for ï¬nite ï¬elds which produce polynomials that induce a desirable mapping on the non-speciï¬ed elements, and without increasing the number of terms in the formula. As a corollary, we classify those permutation polynomials over a ï¬nite ï¬eld which are their own compositional inverse, extending work of C. Wells. DOI: 10.1017/S0004972714000173

Author Biographies

C. Castillo, University of Delaware

Presently a Phd student at in the Department of Mathematical Sciences at the University of Delaware.

R. S. Coulter, University of Delaware

Presently an associate professor in the Department of Mathematical Sciences at the University of Delaware. Previously held positions at Deakin University (Lecturer, level B), Queensland University of Technology (postdoc) and the University of Queensland (postdoc).

S. Smith, University of Delaware

Presently a senior at the University of Delaware.

Published

2014-08-03

Issue

Vol. 90 No. 2 (2014)

Section

Articles
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