Constructions of Optimal 2-D Optical Orthogonal Codes via Generalized Cyclotomic Classes

Author

Han Cai ; Hongbin Liang ; Xiaohu Tang

Author_Institution

Inf. Security & Nat. Comput. Grid Lab., Southwest Jiaotong Univ., Chengdu, China

Volume

61

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

688

Lastpage

695

Abstract

Optical orthogonal codes (OOCs) are widely used as spreading codes in optical fiber networks. In this paper, a bound on the code size of 2-D OOCs with both at most one-pulse per wavelength (AM-OPPW) and at most one-pulse per time slot (AM-OPPTS) is derived. Accordingly, two constructions of optimal 2-D OOCs with both AM-OPPW and AM-OPPTS are proposed via the generalized cyclotomic classes. Furthermore, optimal 2-D OOC with AM-OPPW can be also constructed by adding more codewords into the 2-D OOCs with both AM-OPPW and AM-OPPTS.

Keywords

optical fibre networks; orthogonal codes; 2D OOC; AM-OPPTS; AM-OPPW; generalized cyclotomic classes; optical fiber networks; optimal 2D optical orthogonal codes; spreading codes; Correlation; Educational institutions; Hamming weight; Information security; Multiaccess communication; Optical fiber networks; Two dimensional displays; AM-OPPTS; AM-OPPW; Optical code division access system; generalized cyclotomic classes; two-dimensional optical orthogonal code (2-D OOC);

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2014.2370054

Filename

6954409