Galois环上的一类GMW序列及其线性复杂度

GMW sequences over Galois rings and their linear complexities

将有限域上GMW序列的概念推广到了一般的Galois环上。利用环上的置换,定义了一类新的一般Galois环上的GMW序列,并对其线性复杂度进行了估计。结果表明,这类GMW序列具有非常大的线性复杂度。

A new family of GMW sequences over an arbitrary Galois ring was defined. This generalizes the concept of GMW sequences over finite fields. Upper and lower bounds on the linear complexities of this family of GMW sequences were investigated and the result shows that such sequences b.ave large linear complexities.