Partitioning and ordering Steiner triple systems

Combinatorial design theory is an area of mathematics concerned with finding optimal discrete arrangements, combinations or patterns of objects satisfying given constraints. Steiner triple systems are amongst the most significant and best studied objects in combinatorial design theory. Some of the most important problems concerning Steiner triple systems deal with ordering or partitioning their triples in certain ways. This project will develop deep new insights into partitions and orderings of triples in Steiner triple systems. This will result in new systems which allow many users to simultaneously use a communication channel, and in more efficient schemes to prevent the loss of computer data by distributing it across multiple hard disks.