A new family of GMW sequences over an arbitrary Galois ring was defined by using the trace functions and permutations.This generalizes the concept of GMW sequences over finite fields.Utilizing the Fourier representati...A new family of GMW sequences over an arbitrary Galois ring was defined by using the trace functions and permutations.This generalizes the concept of GMW sequences over finite fields.Utilizing the Fourier representation,we derived an estimate of the linear complexities of this family of GMW sequences.And the result shows that such sequences have large linear complexities.展开更多
文摘A new family of GMW sequences over an arbitrary Galois ring was defined by using the trace functions and permutations.This generalizes the concept of GMW sequences over finite fields.Utilizing the Fourier representation,we derived an estimate of the linear complexities of this family of GMW sequences.And the result shows that such sequences have large linear complexities.
基金the National Natural Science Foundation of China (Grant No. 60302015)the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 200341)Sichuan Youth Science Foundation (Grant No. 04ZQ026-048)
