Combinatorial designs theory:Room squares, mutually orthogonal latin squares, t-designs, orthogonal and perpendicular arrays, group divisible designs, perfect Mendelsohn designs, Steiner cycle systems, resolvable designs, triplewhist tournaments, large set of Kirkman tripe systems, etc.
Coding theory:Group algebraic codes, duadic codes, optical orthogonal codes, constant weight codes, LDPC codes, FH sequences, Radar arrays etc.
Cryptography:Authentication codes, secret sharing schemes, pulic-key cryptosystems, signature schemes, hash functions, etc.
Statistics:Uniform designs, supersaturated designs, Bhaskar Rao designs, sampling designs, etc.