Cyclotomic Constructions of Zero-Difference Balanced Functions With Applications

Zhengbang Zha; Lei Hu

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Cyclotomic Constructions of Zero-Difference Balanced Functions With Applications

机译：零差平衡函数的环原子构造及其应用

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摘要

Based on a recent work of Ding, Wang, and Xiong, we present some cyclotomic constructions of zero-difference balanced (ZDB) functions, which interpret the previous construction proposed by Cai, Zeng, Helleseth, Tang, and Yang. The resulted ZDB functions can be used to generate optimal constant composition codes and perfect difference systems of sets with new parameters.

机译：基于Ding，Wang和Xiong的最新工作，我们提出了零差动平衡（ZDB）函数的一些循环构造，这些构造解释了Cai，Zeng，Helleseth，Tang和Yang提出的先前构造。生成的ZDB函数可用于生成最佳常数组成代码和具有新参数的集合的完美差分系统。

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来源
《Information Theory, IEEE Transactions on》 |2015年第3期|1491-1495|共5页
作者
Zhengbang Zha; Lei Hu;
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作者单位

Sch. of Math. Sci., Luoyang Normal Univ., Luoyang, China;

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原文格式 PDF
正文语种 eng
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关键词
codes; ZDB functions; cyclotomic constructions; optimal constant composition codes; zero-difference balanced functions; Decision support systems; Educational institutions; Information theory; Mathematics; Spread spectrum communication; Synchronization; Zinc; Zero-difference balanced function; constant composition code; cyclotomic coset; difference system of sets;

机译：代码;ZDB函数;环结构;最优常数组成代码;零差平衡函数;决策支持系统;教育机构;信息理论;数学;扩频通信;同步;锌;零差平衡函数;常数组成代码;环原子陪集;集的差分系统;

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Cyclotomic Constructions of Zero-Difference Balanced Functions With Applications

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