Cyclic Designs

Construction of Cyclic H-Designs

We consider a technique to construct cyclicH(3)-designs. Further, to illustrate the procedure, we consider and examine some concrete cases. Mathematics Subject Classification: 05C05

Decomposing triples into cyclic designs

Product constructions for cyclic block designs II. Steiner 2-designs

In [4] we introduced a product construction for cyclic Steiner quadruple systems. The purpose of this paper is to modify the construction so that it is applicable to cyclic Steiner 2-designs. A cyclic Steiner 2-design is a Steiner system s(t, k, u), 2 d t < k < u, in which t = 2 and which has an automorphism of order u. We denote such a system by CS(2, k, u). Under suitable conditions we show h...

Quasi-Cyclic Codes from Cyclic-Structured Designs with Good Properties

Quasi-cyclic Codes from Cyclic-Structured Designs with Good Properties Dimitris E. Simos and Christos Koukouvinos Department of Mathematics National Technical University of Athens Zografou 15773, Athens, Greece {dsimos,ckoukouv}@math.ntua.gr Quasi-cyclic (QC) codes form an important class of linear codes, which contains the well-known class of cyclic codes. A linear code with a complementary du...

A Few More Cyclic Steiner 2-Designs

In this paper, we prove the existence of a cyclic (v, 4, 1)-BIBD for v = 12t + 4, 3 ≤ t ≤ 50 using computer programs, which are useful in recursive constructions for cyclic designs. Applications of these designs to optical orthogonal codes are also mentioned.