On Super-simple Cyclic \(2\)-designs

Abstract

In this paper, we investigate super-simple cyclic \((v, k, \lambda)\)-BIBDs (SCBIBs). Some general constructions for SCBIBs are given. The spectrum of super-simple cyclic \((v, 3, \lambda)\) is completely determined for \(\lambda = 2, 3\) and \(v – 2\). From that, some new optical orthogonal codes are obtained.