DocumentCode
1543266
Title
Constructions for optimal (υ, 4, 1) optical orthogonal codes
Author
Ge, Gennian ; Yin, Jianxing
Author_Institution
Dept. of Comput. Sci., Concordia Univ., Montreal, Que., Canada
Volume
47
Issue
7
fYear
2001
fDate
11/1/2001 12:00:00 AM
Firstpage
2998
Lastpage
3004
Abstract
Four direct constructions, three of which are by way of skew starters, are given in this correspondence for optimal (υ, 4, 1) optical orthogonal codes (OOC´s). These improve the known existence results concerning optimal (υ, 4, 1)-OOCs. In particular, it is shown that an optimal (υ, 4, 1)-OOC exists for all positive integers υ≡6 (mod 12) or υ≡24 (mod 48). It is also shown that an optimal (12υ, 4, 1)-OOC exists for any positive integer υ whose prime factors are all congruent to 1 modulo 4
Keywords
codes; optical communication; optimisation; code length; optimal optical orthogonal codes; prime factors; skew starters; Autocorrelation; Cryptography; Estimation theory; Linear code; Nonlinear optics;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.959278
Filename
959278
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