Non-existence results for vectorial bent functions with Dillon exponent

10/29/2021

∙

by   Lucien Lapierre, et al.

∙

0

∙

share

We prove new non-existence results for vectorial monomial Dillon type bent functions mapping the field of order 2^2m to the field of order 2^m/3. When m is odd and m>3 we show that there are no such functions. When m is even we derive a condition for the bent coefficient. The latter result allows us to find examples of bent functions with m=6 in a simple way.