Classes of optical orthogonal codes from arcs in root subspaces Original Research Article

We present new constructions for image optical orthogonal codes (OOC) using techniques from finite projective geometry. In one case codewords correspond to image-arcs contained in Baer subspaces (and, in general, imageth-root subspaces) of a projective space. In the other construction, we use sublines isomorphic to image lying in a projective plane isomorphic to image, image. Our construction yields for each image an infinite family of OOCs which, in many cases, are asymptotically optimal with respect to the Johnson bound.