Low-correlation, large linear span sequences from function fields

Chaoping Xing; Kumar P.V.; Cunsheng Ding

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Low-correlation, large linear span sequences from function fields

机译：功能字段的低相关性，大线性跨度序列

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摘要

A general method of generating families of binary sequences with low correlation as well as large linear span is presented. The lower bound on the linear span is on the order of the square root of the period of each sequence within the family. The design makes use of the theory of function fields. Two example applications of this method are presented in which the underlying function fields are the rational and elliptic function fields respectively.

机译：提出了一种生成具有低相关性和大线性跨度的二进制序列族的通用方法。线性跨度的下限约为该族中每个序列的周期的平方根。该设计利用功能场的理论。给出了该方法的两个示例应用，其中基础函数字段分别是有理函数字段和椭圆函数字段。

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来源
《IEEE Transactions on Information Theory》 |2003年第6期|p.1439-1446|共8页
作者
Chaoping Xing; Kumar P.V.; Cunsheng Ding;
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作者单位

Dept. of Math., Nat. Univ. of Singapore, Singapore;

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原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词
binary sequences; correlation methods; large linear span sequences; low-correlation sequences; binary sequences; lower bound; sequence period; function fields theory; elliptic function fields; rational function fields;

机译：二进制序列相关方法;大的线性跨度序列;低相关序列;二进制序列下界序列期功能场理论;椭圆函数场;有理函数域;

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机译：具有高线性复杂度的低相关序列的新构造
2. Low-Correlation, High-Nonlinearity Sequences for Multiple-Code CDMA [J] . Sole P., Zinoviev D. IEEE Transactions on Information Theory . 2006,第期

机译：用于多码CDMA的低相关，高非线性序列
3. Characterising the linear complexity of span 1 de Bruijn sequences over finite fields [J] . Hines PA. Journal of Combinatorial Theory, Series A . 1998,第2期

机译：表征有限域上Span 1 de Bruijn序列的线性复杂度
4. A family of binary (t,t-1)-QF sequences with high linear spans and good correlation functions [C] . Wei Sun, Yi Xian Yang Global Telecommunications Conference, 1997. GLOBECOM '97., IEEE . 1997

机译：具有高线性跨度和良好相关函数的二元（t，t-1）-QF序列族
5. The quotient of the space of measurable functions by the closed linear span of the Rademacher functions. [D] . Allis, James Thomas, Jr. 1995

机译：Rademacher函数的封闭线性范围与可测量函数空间的商。
6. Patterned Tone Sequences Reveal Non-Linear Interactions in Auditory Spectrotemporal Receptive Fields in the Inferior Colliculus [O] . W. Owen Brimijoin, William E. ONeill -1

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7. Low-correlation, large linear span sequences from function fields [O] . Xing, Chaoping, Kumar, P. Vijay, Ding, Cunsheng 2003

机译：功能字段的低相关，大线性跨度序列

Low-correlation, large linear span sequences from function fields

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