Constructions for optical orthogonal codes, distinct difference sets and synchronous optical orthogonal codes

Oscar Moreno*, P. Vijay Kumar, Francis Lu, Reza Omrani

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations

Abstract

An (n, ω, λ)-optical orthogonal code (OOC) is a family of {0,1}-sequences of length n and Hamming weight ω. As such, a new optimal construction of OOCs by generalizing the well-known Bose (q2-1,q,1)-distinct difference set construction, where q is a prime power is presentd. It is shown that the concept of an OOC with λ=1 coincides with that of Distinct Difference Sets (DDS) and that such OOCs can be used to construct Difference Triangle Sets.

Original languageEnglish
Number of pages1
JournalIEEE International Symposium on Information Theory - Proceedings
DOIs
StatePublished - 20 Oct 2003
EventProceedings 2003 IEEE International Symposium on Information Theory (ISIT) - Yokohama, Japan
Duration: 29 Jun 20034 Jul 2003

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