Title :
A construction of resilient functions with high nonlinearity
Author :
Johansson, Thomas ; Pasalic, Enes
Author_Institution :
Dept. of Inf. Technol., Lund Univ., Sweden
Abstract :
We provide a construction technique for multiple-output resilient functions F:F2n→F2m 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.
Keywords :
Boolean functions; linear codes; nonlinear functions; Boolean functions; all-zero codeword; codes intersection; keystream generators; linear codes; linear feedback shift registers; minimum distance; multiple-output resilient functions; nonlinearity; resilient functions construction; Boolean functions; Cryptography; Distributed computing; Fault tolerant systems; Information technology; Information theory; Linear code; Linear feedback shift registers; Quantum computing; Random sequences;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.807297
