Constructing block designs of elements or residue rings with a composite modulus

Research paper by B. T. Rumov

Indexed on: 01 Dec '71Published on: 01 Dec '71Published in: Mathematical Notes


The paper provides a construction of cyclic BIB designs with parameters b, v, r, k, and λ such that λ=k-1, k≥ 3, and p ≡ 1 (mod k) for each prime divisor p of the number v. The existence is proven of bases consisting of (v−1)/k blocks and, for v=pα, this base is given explicitly.