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).
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.