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2016
IEEE

Exceptional planar polynomials

3 years 22 days ago
Exceptional planar polynomials
Planar functions are special functions from a finite field to itself that give rise to finite projective planes and other combinatorial objects. We consider polynomials over a finite field K that induce planar functions on infinitely many extensions of K; we call such polynomials exceptional planar. Exceptional planar monomials have been recently classified. In this paper we establish a partial classification of exceptional planar polynomials. This includes results for the classical planar functions on finite fields of odd characteristic and for the recently proposed planar functions on finite fields of characteristic two.
Florian Caullery, Kai-Uwe Schmidt, Yue Zhou
Added 01 Apr 2016
Updated 01 Apr 2016
Type Journal
Year 2016
Where DCC
Authors Florian Caullery, Kai-Uwe Schmidt, Yue Zhou
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