Two classes of zero difference balanced functions and their optimal constant composition codes
Two classes of zero difference balanced functions and their optimal constant composition codes
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DOI：
10.1109/isit.2016.7541514
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发表时间：
2016-07
期刊：
影响因子：
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通讯作者：
Yang Yang-Yang;Zhengchun Zhou;Xiaohu Tang
中科院分区：
文献类型：
--
作者：
Yang Yang-Yang;Zhengchun Zhou;Xiaohu Tang
恒定合成码(CCCS)是一类特殊的恒重码。它们包括排列码作为子类。参数达到一定界的CCCS的构造一直是编码理论中一个有趣的研究课题。最近，丁建立了一座从零差平衡(ZDB)函数到CCCS的桥梁，其参数满足罗孚-芬克-陈界。这为获得最优CCCS提供了一种新的途径。本文的一个目的是提出两类新的ZDB函数，它们的参数在文献中没有涉及到。本文的另一个目的是从这些新的ZDB函数中引入两类满足罗夫-芬克-陈界的CCCS。
Constant composition codes (CCCs) are a special class of constant-weight codes. They include permutation codes as a subclass. The construction of CCCs with parameters achieving certain bounds has been an interesting research topic in coding theory. Recently, Ding established a bridge from zero difference balanced (ZDB) functions to CCCs with parameters meeting the Luo-Fu-Vinck-Chen bound. This provides a new approach for obtaining optimal CCCs. One objective of this paper is to present two new classes of ZDB functions whose parameters have been not covered in the literature. Another objective of this paper is to introduce two classes of CCCs meeting the Luo-Fu-Vinck-Chen bound from these new ZDB functions.