A construction of resilient functions with high nonlinearity

We provide a construction technique for multiple-output resilient functions F:F/sub 2//sup n//spl rarr/F/sub 2//sup m/ 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. Moreover, the constructed functions obtain a nonlinearity superior to previous construction methods.