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-  2018 

一个计算指数周期序列的所有跃点的算法

DOI: 10.3969/j.issn.0253-2778.2018.02.003

Keywords: 流密码, 周期序列, k错线性复杂度, 跃点
Key words: stream cipher periodic sequence
,k-error linear complexity critical point

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Abstract:

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.
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.

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