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Title:
A Construction of Resilient Functions with High Nonlinearity
Authors: Thomas Johansson, Enes Pasalic
Abstract:The relationship between nonlinearity and
resiliency for a function F:\mathbb{F}_2^n \mapsto
\mathbb{F}_2^m is considered. We give a construction of resilient
functions with high nonlinearity. The construction leads to the
problem of finding a set of linear codes with a fixed minimum
distance, having the property that the intersection
between any two codes is the all zero codeword only. This problem is
considered, and existence results are provided. The constructed
functions obtain a nonlinearity superior to previous construction
methods.
ePrint: https://eprint.iacr.org/2000/053
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