This volume will deal with the constructions of block designs. Tadeusz Calin'ski taught statistics, biometry and experimental design at the Agricultural University of Poznan' from 1953 to 1988. He obtained the title of Professor of Natural Sciences in 1974. He was head of the Department of Mathematical and Statistical Methods from 1968 to 1984 and is now Professor Emeritus. In 1998 Professor Calin'ski was awarded the doctoral Degree honoris causa by the Agricultural University of Poznan'. He has published over 140 articles in scientific journals. He has served on the editorial boards of the Journal of Statistical Planning and Inference, Biometrics, and several Polish scientific journals. Sanpei Kageyama has been Professor of Statistics and Discrete Mathematics in the Department of Mathematics, Hiroshima University, Japan, since 1992. He has published over 240 articles in scientific journals. Professor Kageyama is a Foundation Fellow of the Institute of Combinatorics and its Applications, and a council member of the Mathematical Society of Japan. He has served on the editorial boards of the Journal of Japan Statistical Society, Utilitas Mathematics, and the Journal of Statistical Planning and Inference.