一类具有最佳相关性和大线性跨度的二元序列
A Family of Binary Sequences with Optimal Correlation Property and Large Linear Span
摘要：
提出了一类二元序列，并证明了其具有最佳相关特性和大线性跨度。它包括Kasami序列的小集合，No序列集合和TN序列集合作为特殊情况。给出了该类序列线性跨度的一个显式下界表达式。通过适当的参数选择，证明了该序列族比No序列和TN序列具有更大的线性跨度。构造了一类理想自相关序列，并证明了它们具有大的线性跨度。
英文摘要：
A family of binary sequences is presented and proved to have optimal correlation property and large linear span. It includes the small set of Kasami sequences, No sequence set and TN sequence set as special cases. An explicit lower bound expression on the linear span of sequences in the family is given. With suitable choices of parameters, it is proved that the family has exponentially larger linear spans than both No sequences and TN sequences. A class of ideal autocorrelation sequences is also constructed and proved to have large linear span.
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