New construction for families of binary sequences with optimal correlation properties

Jong-Seon No; Kyeongcheol Yang

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New construction for families of binary sequences with optimal correlation properties

机译：具有最佳相关特性的二元序列族的新构造

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We present a construction, in a closed form, for an optimal family of 2/sup m/ binary sequences of period 2/sup 2m/-1 with respect to Welch's (1974) bound, whenever there exists a balanced binary sequence of period 2/sup m/-1 with ideal autocorrelation property using the trace function. This construction enables us to reinterpret a small set of Kasami and No (1988) sequences as a family constructed from m-sequences. New optimal families of binary sequences are constructed from the Legendre sequences of Mersenne prime period, Hall's sextic residue sequences, and miscellaneous sequences of unknown type. In addition, we enumerate the number of distinct families of binary sequences, which are constructed from a given binary sequence by this method.

机译：当存在周期2的平衡二进制序列时，相对于Welch's（1974）的界线，我们以封闭形式给出周期2 / sup 2m / -1的2 / sup m /二进制序列的最优族的构造。 / sup m / -1使用跟踪函数具有理想的自相关属性。这种构造使我们能够将一小部分Kasami和No（1988）序列重新解释为由m序列构造的族。从梅森素数期的勒让德序列，霍尔的六聚残基序列和未知类型的其他序列中构建新的最佳二元序列族。此外，我们枚举了不同的二进制序列家族，这些家族通过这种方法从给定的二进制序列构造而成。

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来源
《IEEE Transactions on Information Theory》 |1997年第5期|P.1596-1602|共7页
作者
Jong-Seon No; Kyeongcheol Yang;
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正文语种 eng
中图分类无线电电子学、电信技术;
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New construction for families of binary sequences with optimal correlation properties

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