Geodesic
Construction of $D$-optimal weighing designs with the minimal number of observations
Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 3, pp. 578-582

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The problem of constructing $D$-optimal designs on a $(0,1)$-hypercube for a special case of linear regression is considered. These designs are found to be weighing ones (for the spring balance problem). $D$-optimal designs with minimal number of observations are obtained. 
@article{TVP_1972_17_3_a17,
     author = {V. Z. Brodskii and T. I. Golikova},
     title = {Construction of $D$-optimal weighing designs with the minimal number of observations},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {578--582},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a17/}
}
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V. Z. Brodskii; T. I. Golikova. Construction of $D$-optimal weighing designs with the minimal number of observations. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 3, pp. 578-582. http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a17/