In this paper, we present a new family of binary Kasami sequences of length 2 n − 1 for even integer n = 2m. It generalizes the recently proposed large set F(l){mathcal{F}^{(l)}} of Kasami sequences by relaxing the restriction on l to a more general case. The presented sequence family takes five nontrival correlation values −1, −1 ± 2 m , −1 ± 2 m + gcd(m,l), and has family size 23m + 2 m or 23m + 2 m −1. We also completely determine the distribution of these correlation values.
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机译：在本文中，我们针对偶数整数n = 2m提出了一个新的二元Kasami序列族，其长度为2 n − 1。通过将对l的限制放宽到更一般的情况，概括了最近提出的Kasami序列的大集合F （l） {mathcal {F} ^ {（l）}}。提出的序列家族采用五个非平凡相关值-1，-1±2 m ，-1±2 m + gcd（m，l），家族大小为2 3m + 2 m 或2 3m + 2 m -1。我们还完全确定了这些相关值的分布。
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