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Design theory is the subfield of combinatorics concerning the existence and construction of highly symmetric arrangements. Finite projective planes, latin squares, and Steiner triple systems are examples of designs.
7
votes
Combinatorial designs textbook recommendation
You could try "Stinson - Combinatorial design theory" too. Also, just in case it might interest you: I am half-learning design theory myself and trying to implement the constructive proof of existence …
14
votes
Constructing Steiner Triple Systems Algorithmically
I coded that in Sage if you want to use it immediately (see the patch, see the documentation) :
sage: from sage.combinat.designs.block_design import steiner_triple_system
sage: list(steiner_triple_sy …