%0 Journal Article %T 一个计算指数周期序列的所有跃点的算法 %A 唐淼 %A 王菊香 %J 中国科学技术大学学报 %D 2018 %R 10.3969/j.issn.0253-2778.2018.02.003 %X 周期序列的k错线性复杂度是衡量流密码系统安全性能的一个重要指标,k错线性复杂度的值随着k值的增加呈下降趋势,其中发生严格下降的点称为跃点.这里关注有限域GF(pm)上的pn周期序列,p是任意素数,讨论了该类序列的k错线性复杂度的性质,同时给出了一个算法:对于任意给定的序列,计算出其包含的所有跃点.</br>Abstract:The k-error linear complexity of periodic sequences is an important security indice of stream cipher systems. The k-error linear complexity decreases as the number of errors k increases, that the critical points are those where a decrease occurs in the k-error linear complexity. The pn periodic sequences over the finite field GF(pm) were focused upon, where p is a prime. Some properties of the k-error linear complexity were discussed, and an algorithm was presented for computing all the critical points for a given sequence. %K 流密码 %K 周期序列 %K k错线性复杂度 %K 跃点< %K /br> %K Key words: stream cipher periodic sequence %K k-error linear complexity critical point %U http://just.ustc.edu.cn/CN/abstract/abstract72.shtml