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
fDate :
11/1/2001 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
