Low correlation zone sequences over finite fields and rings

U. Parampalli
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Abstract

Low correlation zone (LCZ) sequences were introduced to address a specific requirement of a generalized quasi-synchronous code-division multiple access (QS-CDMA) communication system. In this talk I will introduce the problem of low correlation zone sequence design and present basic schemes using Interleaving techniques. The low correlation zone requirement presents new challenges in the area of bounds involving family size and low correlation parameters. I will talk about some of the results on limitations arises from the bounds. There have been several papers dealing with the construction methods involving finite fields, finite rings and several combinatorial objects such as Hadamard matrices. The talk will include key constructions and a brief survey some recent results in the area.
有限域和环上的低相关带序列
为了解决广义准同步码分多址(QS-CDMA)通信系统的特殊要求,引入了低相关区(LCZ)序列。在这次演讲中,我将介绍低相关区序列设计的问题,并提出使用交错技术的基本方案。低相关区要求在涉及家庭规模和低相关参数的边界领域提出了新的挑战。我将讨论一些由界产生的限制的结果。关于有限域、有限环和若干组合对象(如Hadamard矩阵)的构造方法,已有多篇论文。讲座将包括关键建设和简要介绍该领域的一些最新成果。
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