Name
Abstract | ||
|---|---|---|
Nine new 2-D OOCs are presented here, all sharing the common feature of a
code size that is much larger in relation to the number of time slots than
those of constructions appearing previously in the literature. Each of these
constructions is either optimal or asymptotically optimal with respect to
either the original Johnson bound or else a non-binary version of the Johnson
bound introduced in this paper.
The first 5 codes are constructed using polynomials over finite fields - the
first construction is optimal while the remaining 4 are asymptotically optimal.
The next two codes are constructed using rational functions in place of
polynomials and these are asymptotically optimal. The last two codes, also
asymptotically optimal, are constructed by composing two of the above codes
with a constant weight binary code.
Also presented, is a three-dimensional OOC that exploits the polarization
dimension.
Finally, phase-encoded optical CDMA is considered and construction of two
efficient codes are provided. |
Year | Venue | Keywords |
|---|---|---|
2009 | Clinical Orthopaedics and Related Research | index terms— optical orthogonal codes,wavelength-time hopping codes,ocdma,two-dimensional codes,johnson bound,2-d ooc,optical cdma,phase-encoded ocdma.,rational function,time hopping,three dimensional,finite field,indexing terms |
Field | DocType | Volume |
Discrete mathematics,Finite field,Combinatorics,Polynomial,Block code,Binary code,Johnson bound,Linear code,Rational function,Asymptotically optimal algorithm,Mathematics | Journal | abs/0911.0 |
Citations | PageRank | References |
6 | 0.54 | 40 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Reza Omrani | 1 | 30 | 4.36 |
| Gagan Garg | 2 | 15 | 2.41 |
| P. Vijay Kumar | 3 | 1708 | 158.95 |
| Petros Elia | 4 | 545 | 40.89 |
| Pankaj Bhambhani | 5 | 6 | 0.88 |