WSEAS Transactions on Communications
Print ISSN: 1109-2742, E-ISSN: 2224-2864Volume 16, 2017
New Space/Wavelength/Time Optical Codes for OCDMA
Author:
Abstract: New constructions of 3-dimensional optical orthogonal codes are presented. In each case the codes have ideal autocorrelation λa = 0, and cross correlation of λc = 1. All codes produced are demonstrated to be optimal. The constructions utilize a particular automorphism (a Singer cycle) of PG(k, q), the finite projective geometry of dimension k over the field of order q, or its affine analogue in AG(k, q).
Keywords: 3-D code, 3-D OOC, Optical Orthogonal Codes, Johnson bound, finite projective geometries, PG(k,q), Singer cycle, optimal codes
Pages: 35-42
WSEAS Transactions on Communications, ISSN / E-ISSN: 1109-2742 / 2224-2864, Volume 16, 2017, Art. #6