Major topics and theorems

This is only a vague list of topics we will cover. It will be augmented as we go along.

Major topic Chapters Major results MSC
Partially ordered sets 6,25 Dilworth's theorem
Sperner's theorem
Lattices
06A,06B
Extremal set theory 6,38 Erdös-Ko-Rado theorem
Kruskal-Katona theorem
Baranyai's theorem
05D
Design theory 17,18,19
22,23,27
Latin squares
Steiner triple systems
combinatorial geometries
difference sets
05B
Coding theory 18,20,29 Hamming bound
Singleton bound
Hadamard matrices
Reed-Muller codes
Golay code
Duality
94A10, 94A24