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New Families of Optimal Variable-Weight Optical Orthogonal Codes With High Weights.
- Source :
- IEEE Transactions on Information Theory; Aug2015, Vol. 61 Issue 8, p4511-4517, 7p
- Publication Year :
- 2015
-
Abstract
- The optical orthogonal codes (OOCs) have been widely used as spreading codes in communication systems employing the unipolar transmission. They are classified into constant-weight OOCs (CW-OOCs) and variable-weight OOCs (VW-OOCs) according to the number of distinct Hamming weights which their codewords have. In this paper, we present a new generic construction of VW-OOCs of length $(q-1)N$ from a CW-OOC of length $N$ , where $q$ is a prime power and $\gcd (q-1,N)=1$ . As a result, three new families of optimal VW-OOCs with a maximum correlation value 1 are obtained. In particular, these families can have the codewords of high weights, while most of the previously known optimal VW-OOCs have only codewords of weight less than 8. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 61
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 108358195
- Full Text :
- https://doi.org/10.1109/TIT.2015.2441695