Constructions of (q,k,1) difference families with q a prime power and k=4,5
Selected papers of the 14th British conference on Combinatorial conference
Some combinational constructions for optical orthogonal codes
Discrete Mathematics
Optimal (9v, 4, 1) Optical Orthogonal Codes
SIAM Journal on Discrete Mathematics
Cyclic Designs with Block Size 4 and Related Optimal Optical Orthogonal Codes
Designs, Codes and Cryptography
Construction for optimal optical orthogonal codes
Discrete Mathematics - Papers on the occasion of the 65th birthday of Alex Rosa
Some progress on (v, 4, 1) difference families and optical orthogonal codes
Journal of Combinatorial Theory Series A
Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)
Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)
New constructions and bounds for 2-d optical orthogonal codes
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Optical orthogonal codes: their bounds and new optimal constructions
IEEE Transactions on Information Theory
Constructions for optimal (υ, 4, 1) optical orthogonal codes
IEEE Transactions on Information Theory
Combinatorial constructions of optimal optical orthogonal codes with weight 4
IEEE Transactions on Information Theory
A new recursive construction for optical orthogonal codes
IEEE Transactions on Information Theory
A new class of optimal optical orthogonal codes with weight five
IEEE Transactions on Information Theory
On constructions for optimal two-dimensional optical orthogonal codes
Designs, Codes and Cryptography
Two classes of optimal two-dimensional OOCs
Designs, Codes and Cryptography
Combinatorial constructions for optimal 2-D optical orthogonal codes with AM-OPPTS property
Designs, Codes and Cryptography
Hi-index | 754.84 |
Optical orthogonal codes (OOCs) have been designed for OCDMA. A one-dimensional (1-D) optical orthogonal code (1-D OOC) is a set of one-dimensional binary sequences having good auto and cross-correlations. One limitation of 1-D OOC is that the length of the sequence increases rapidly when the number of users or the weight of the code is increased, which means large bandwidth expansion is required if a big number of codewords is needed. To lessen this problem, two-dimensional (2-D) coding (also called multiwavelength OOCs) was invested. A two dimensional (2-D) optical orthogonal code (2-D OOC) is a set of u × v matrices with (0, 1) elements having good auto and cross-correlations. Recently, many researchers are working on constructions and designs of 2-D OOCs. In this paper, we shall reveal the combinatorial properties of 2-D OOCs and give an equivalent combinatorial description of a 2-D OOC. Based on this, we are able to use combinatorial methods to obtain many optimal 2-D OOCs.