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Boolean functions with high nonlinearity,high resiliency and strict avalanche criterion(SAC)play an important role in the designs of conventional cryptographic systems.In this paper,a method is proposed to construct resilient Boolean functions on n variables(n even)satisfying SAC with nonlinearity>2n-1-2n/2.A large class of cryptographic Boolean functions that were not known earlier were obtained.
Boolean functions with high nonlinearity, high resiliency and strict avalanche criterion (SAC) play an important role in the designs of conventional cryptographic systems. In this paper, a method is proposed to construct resilient Boolean functions on n variables (n even) satisfying SAC with nonlinearity> 2n-1-2n / 2.A large class of cryptographic Boolean functions that were not known earlier were obtained.