(n × m, 4,1,2)光正交码的上界
Bounds of (n × m, 4,1,2)-Optical Orthogonal Oodes
DOI: 10.12677/PM.2022.124070, PDF,    国家自然科学基金支持
作者: 温建福, 黄月梅*：内蒙古师范大学，内蒙古自治区数学与应用数学中心，内蒙古 呼和浩特
关键词: 光正交码；轨道；3-子集；上界；Optical Orthogonal Codes； Orbit； 3-Subset； Bound
摘要: 一个光正交码是指具有良好的自相关性和互相关性的序列族。它是为光码分多址(CDMA)系统而设计的一种专用码。本文通过计算每个权重为4的码字所含3-子集轨道代表元的个数，给出汉明权重为4，自相关值为1，互相关值为2的二维光正交码的码字容量的上界。
Abstract: An optical orthogonal code is a family of sequences with good auto-correlation and cross-correlation. It is a special code designed for optical code-division multiple access (CDMA) system. In this paper, the upper bound of the capacity of two-dimensional optical orthogonal codes with hamming weight 4, auto-correlation value of 1 and cross-correlation value of 2 is given by calculating the number of 3-subset orbit representations of each code with weight 4.
文章引用：温建福, 黄月梅. (n × m, 4,1,2)光正交码的上界[J]. 理论数学, 2022, 12(4): 616-622. https://doi.org/10.12677/PM.2022.124070

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