Two-level supersaturated designs for 2k runs and other cases

Two-level supersaturated designs are constructed for n=2k (k⩾5) runs and m factors where n+3⩽m⩽5(n-4). The designs so formed are shown to have a maximum absolute correlation between factors of 14 and to be efficient in terms of E(s2), particularly when the number of factors m is approximately double the number of runs n or greater. Thus, supersaturated designs with favourable properties are found for much higher numbers of runs than would be possible solely using algorithms.