NDLI: Large Families of Asymptotically Optimal Two-Dimensional Optical Orthogonal Codes

Content Provider	IEEE Xplore Digital Library
Author	Omrani, R. Garg, G. Kumar, P.V. Elia, P. Bhambhani, P.
Copyright Year	1963
Abstract	Nine new two-dimensional Optical Orthogonal Codes (2-D OOCs) are presented here, all sharing the common feature of a code size that is much larger in relation to the number of time slots than those of constructions appearing previously in the literature. Each of these constructions is either optimal or asymptotically optimal with respect to either the original Johnson bound or else a nonbinary version of the Johnson bound introduced in this paper. The first five codes are constructed using polynomials over finite fields-the first construction is optimal while the remaining four are asymptotically optimal. The next two codes are constructed using rational functions in place of polynomials and these are asymptotically optimal. The last two codes, also asymptotically optimal, are constructed by composing two of the above codes with a constant weight binary code. Also presented is a three-dimensional Optical Orthogonal Code (3-D OOC) that exploits the polarization dimension. Finally, phase-encoded optical CDMA is considered and construction of two efficient codes are provided.
Sponsorship	IEEE Information Theory Society
Starting Page	1163
Ending Page	1185
Page Count	23
File Size	788792
File Format	PDF
ISSN	00189448
Volume Number	58
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optical polarization Integrated optics Correlation Binary codes Multiaccess communication Encoding Optical pulses wavelength-time hopping codes 2-D codes 2-D OOC Johnson bound OCDMA optical CDMA optical orthogonal codes phase-encoded OCDMA
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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