Algebraic constructions of asymptotically optimal two-dimensional optical orthogonal codes
type: Item
instance of: scholarly article
title: Algebraic constructions of asymptotically optimal two-dimensional optical orthogonal codes
zbMATH Open document ID: 0923.94043
DOI: 10.1007/BF02882581
author: Chengqian Xu
author: Yi-Xian Yang
published in: Chinese Science Bulletin
publication date: 1999-11-01T00:00:00Z
review text: The paper deals with an algebraic construction of asymptotically optimal two-dimensional optical orthogonal codes (2-D OOCs) that are very useful in multiaccess applications, such as parallel transmissions of images over multicore-fiber code-division multiple-access (CDMA) Systems. 2-D OOC codes can also be used in radar, sonar and other systems that apply the frequency hopping (FH) technique. In the paper, the authors construct 2-D OOC codes using polynomials over the finite fields \(GF(p)\) and \(GF(q)\). They prove that these codes become asymptotically optimal as the order of the codewords reaches infinity.
Mathematics Subject Classification ID: 94B60
Mathematics Subject Classification ID: 94A05
Mathematics Subject Classification ID: 11T71
zbMATH DE Number: 1106394
zbMATH Keywords: two-dimensional optical orthogonal codes
zbMATH Keywords: code-division multiple-access systems
reviewed by: Józef Woźniak
MaRDI profile type: Publication
cites work: New enumeration results about the optical orthogonal codes
cites work: New constructions of optimal cyclically permutable constant weight codes
description: scientific article; zbMATH DE number 1106394