3-Dimensional Optical Orthogonal Codes With Ideal Autocorrelation-Bounds and Optimal Constructions
Year: 2017
Type: article
Abstract: Several new constructions of 3-D optical orthogonal codes are presented here. In each case, the codes have ideal OFF-peak autocorrelation λa= 0, and in all, but one case a cross correlation of λc= 1. All codes produced are optimal with respect to the applicable Johnson bound either presented or developed here. Thus, on one hand the codes are as large as possible, and on the other, the bound(s) are shown to be tight. All codes are constructed by using a particular automorphism (a singer cycle) of PG(k, q), the finite projective geometry of dimension k over the field of order q, or by using an affine analogue in AG(k, q).
Author: Tim L. Alderson
Institution: University of New Brunswick
Language: English
Subfield: Electrical and Electronic Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2593375465