On optimal (v, 5, 2, 1) optical orthogonal codes

被引：15

作者：

Buratti, Marco ^{[1
]}

Pasotti, Anita ^{[2
]}

Wu, Dianhua ^{[3
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

[2] Univ Brescia, Dipartimento Matemat, Fac Ingn, I-25133 Brescia, Italy

[3] Guangxi Normal Univ, Dept Math, Guilin 541004, Peoples R China

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2013年 / 68卷 / 1-3期

关键词：

Optimal optical orthogonal code; Difference family; Difference matrix; RECURSIVE CONSTRUCTIONS; OPTIMAL OOCS; FAMILIES;

D O I：

10.1007/s10623-012-9654-x

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The size of a (v, 5, 2, 1) optical orthogonal code (OOC) is shown to be at most equal to when v a parts per thousand 11 (mod 132) or v a parts per thousand 154 (mod 924), and at most equal to in all the other cases. Thus a (v, 5, 2, 1)-OOC is naturally said to be optimal when its size reaches the above bound. Many direct and recursive constructions for infinite classes of optimal (v, 5, 2, 1)-OOCs are presented giving, in particular, a very strong indication about the existence of an optimal (p, 5, 2, 1)-OOC for every prime p a parts per thousand 1 (mod 12).

引用

页码：349 / 371

页数：23

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