Design theory
Infinite families of strictly cyclic Steiner quadruple systems
Discrete Mathematics - Combinatorial designs: a tribute to Haim Hanani
On the existence of cyclic Steiner Quadruple Systems SQS(2p)
Discrete Mathematics - Special volume: Designs and Graphs
The fundamental construction for 3-designs
Proceedings of the first Malta conference on Graphs and combinatorics
The last packing number of quadruples, and cyclic SQS
Designs, Codes and Cryptography
A Number Theoretic Conjecture and the Existence of S–Cyclic Steiner Quadruple Systems
Designs, Codes and Cryptography
Optical orthogonal codes: design, analysis and applications
IEEE Transactions on Information Theory
Optical orthogonal codes: their bounds and new optimal constructions
IEEE Transactions on Information Theory
A new recursive construction for optical orthogonal codes
IEEE Transactions on Information Theory
Optical orthogonal signature pattern codes with maximum collision parameter 2 and weight 4
IEEE Transactions on Information Theory
New results on optimal (v, 4, 2, 1) optical orthogonal codes
Designs, Codes and Cryptography
Two classes of optimal two-dimensional OOCs
Designs, Codes and Cryptography
New optimal optical orthogonal codes by restrictions to subgroups
Finite Fields and Their Applications
Design and analysis of periodic multiple seeds
Theoretical Computer Science
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In this paper we give some recursive constructions for strictly cyclic 3-designs. Using these constructions we have some infinite families of strictly cyclic Steiner quadruple systems and optimal optical orthogonal codes with weight 4 and index 2. As corollaries, many known constructions for strictly cyclic Steiner quadruple systems and optimal optical orthogonal codes are unified. We also notice that there does not exist an optimal (n,4,2)-OOC for any n=0 (mod24). Thus we introduce the concept of strictly cyclic maximal packing quadruple systems to deal with the cases of n=0 (mod24) for (n,4,2)-OOCs. By our recursive constructions, some infinite families are also given on strictly cyclic maximal packing quadruple systems.