F2上2n-周期序列的k-错误序列
doi: 10.3724/SP.J.1146.2007.00711
On the k-error Sequences of 2n-Periodic Binary Sequences
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摘要: 为了更好地刻画和研究序列的随机性，该文提出了序列的k-错误序列的概念，并对k=1,2，确定了F2上2n-周期序列的k-错误序列的计数，还给出了F2上2n-周期序列的1-错误序列个数的均值。Abstract: In order to depict and study randomicity of sequences better, this correspondence gives the concept of k-error sequences of keystream, and for k=1,2, the counting function, i.e., the number of k-error sequences of 2n-periodic binary sequence, and the expected value of the number of 1-error sequences of 2n-periodic binary sequences are provided.
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