Chapter

Open Problems in Mathematics and Computational Science

pp 91-110

Date:

Non-extendable \(\mathbb{F}_{q}\)-Quadratic Perfect Nonlinear Maps

  • Ferruh ÖzbudakAffiliated withDepartment of Mathematics and Institute of Applied Mathematics, Middle East Technical University Email author 
  • , Alexander PottAffiliated withFaculty of Mathematics, Otto-von-Guericke University of Magdeburg

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Abstract

Let q be a power of an odd prime. We give examples of non-extendable \(\mathbb{F}_{q}\)-quadratic perfect nonlinear maps. We also show that many classes of \(\mathbb{F}_{q}\)-quadratic perfect nonlinear maps are extendable. We give a short survey of some related results and provide some open problems.