Optical orthogonal codes and arcs in PG(d, q)

We present a new construction for (n, w, λ)-optical orthogonal codes (OOCs). The construction is pleasingly simple, where codewords correspond to arcs, specifically normal rational curves. Moreover, our construction yields for each λ > 1 an infinite family of OOCs which are asymptotically optimal (with respect to the Johnson bound). Key words: Optical orthogonal code, Normal rational curve, arc, cyclically permutable code Subject Class: 94B27, 51E20

• Type: Journal
• Year: 2007
• Where: FFA
• Authors: T. L. Alderson
• Keywords: -optical Orthogonal Codes, FFA 2007, Normal Rational Curve, Orthogonal Code