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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Non-Existence of a Nested BIB Design NB\((10, 15, 2,3)\)

Takaaki Hishida 1, Kengo Ishikawa 2, Masakazu Jimbo3, Sanpei Kagevama 4, Shinji Kuriki5, Osaka Prefecture6
1Department of Information Science Gifu. University 1-1, Yanagido, Gifu, 501-1193, JAPAN
2 Department of Mathematical Sciences Osaka Prefecture University 1-1, Gakuen-cho, Sakai, Osaka, 599-8531, JAPAN
3Department of Mathematics Keio University 3-14-1, Hivoshi. Kohoku-ku, Yokohama, 223-8522, JAPAN
4Department of Mathematics Hiroshima University 1-1-1, Kagamivama. Higashi-Hiroshima. 739-8524, JAPAN
5 Department of Mathematical Sciences
6 University 1-1, Gakuen-cho. Sakai, Osaka, 599-8531, JAPAN
  • Published: 28/02/2001

Abstract

A computer search shows that there does not exist a nested BIB design \(\text{NB}(10, 15, 2, 3)\).

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Citation
Takaaki Hishida , Kengo Ishikawa , Masakazu Jimbo, Sanpei Kagevama , Shinji Kuriki, Osaka Prefecture. Non-Existence of a Nested BIB Design NB\((10, 15, 2,3)\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 036. 55-63. DOI: .