Title :
Constructions of resilient functions over finite fields
Author :
Jie, Zhang ; Zhenhua, Liu ; Qiaoyan, Wen
Abstract :
This paper presents some methods for constructing new resilient functions from old ones. These methods are significant generalizations of some previously known methods. Furthermore, we construct some infinite families of resilient functions with optimal nonlinearity which is particularly well-suited for combining linear feedback shift registers.
Keywords :
Galois fields; binary sequences; cryptography; cryptography; finite field; linear feedback shift register; optimal nonlinearity; resilient function; Computer science; Distributed computing; Fault tolerance; Galois fields; Laboratories; Linear feedback shift registers; Probability distribution; Quantum computing; Random sequences; Telecommunication switching; correlation-immune functions; linear cord; optimal nonlinearity order; resilient functions; sequence of functions;
Conference_Titel :
Image Analysis and Signal Processing, 2009. IASP 2009. International Conference on
Conference_Location :
Taizhou
Print_ISBN :
978-1-4244-3987-4
DOI :
10.1109/IASP.2009.5054582
