The sizes ofmaximal (v, k, k-2, k-1) optical orthogonal codes

被引：0
|
作者：
Fang, Zenghui [1 ]
Zhou, Junling [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2020年 / 88卷 / 05期
关键词：
List of differences; Maximal; Optical orthogonal code; Orbit; Stabilizer; MULTIPLE-ACCESS TECHNIQUES; COMBINATORIAL CONSTRUCTIONS; FIBER NETWORKS; OPTIMAL N; FAMILIES; DESIGN; BOUNDS;
D O I：
10.1007/s10623-020-00714-1
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
An optical orthogonal code (OOC) is a family of binary sequences having good auto- and cross-correlation properties. Let Phi(v, k, lambda(a), lambda(c)) denote the largest possible size among all (v, k, lambda(a), lambda(c)))-OOCs. A (v, k, lambda(a), lambda(c))-OOC with Phi(v, k, lambda(a), lambda(c)) codewords is said to be maximal. In this paper, we research into maximal (v, k, k - 2, k - 1)-OOCs and determine the exact value of Phi(v, k, k - 2, k - 1). This generalizes the result on the special case of k = 4 by Huang and Chang in 2012. Distributions of differences with maximum multiplicity are analyzed by several classes to deal with the general case for all possible v and k.
引用
收藏
页码：807 / 824
页数：18
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