An E(s2)-Optimal Supersaturated Designs Constructed from Bulutoglu and Cheng Theorem

We constructed an -optimal supersaturated design (SSD) with an experimental run-size, n = 20 and number of factors, m = 57 (multiple of 19). The construction is based on balanced incomplete block designs using a theorem proposed by Bulutoglu and Cheng. This is achieved by constructing the initial blocks of the balanced incomplete block design using the theorem. Consequently, all other blocks are generated to constitute a balanced incomplete block design (BIBD),and the complete blocks that constitute the BIBD is transformed into the required supersaturated design( SSD).