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The Constructions of Almost Binary Sequence Pairs and Binary Sequence Pairs with Three-Level Autocorrelation

机译:具有三级自相关的几乎二进制序列对和二进制序列对的构造

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摘要

In this letter, a new class of almost binary sequence pairs with a single zero element and three autocorrelation values is presented. The new almost binary sequence pairs are based on cyclic difference sets and difference set pairs. By applying the method to the binary sequence pairs, new binary sequence pairs with three-level autocorrelation are constructed. It is shown that new sequence pairs from our constructions are balanced or almost balanced and have optimal three-level autocorrelation when the characteristic sequences or sequence pairs of difference sets or difference set pairs are balanced or almost balanced and have optimal autocorrelations.
机译:在这封信中,提出了一种新的几乎是二进制序列对的类,它具有一个零元素和三个自相关值。新的几乎二进制序列对基于循环差异集和差异集对。通过将该方法应用于二进制序列对,可以构建具有三级自相关的新二进制序列对。结果表明,当差异集或差异集对的特征序列或序列对达到平衡或几乎平衡并具有最佳自相关时,我们构造的新序列对达到平衡或几乎平衡,并具有最佳三级自相关。

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