A ring partition construction for bibds

  • R. C. Mullin University of Waterloo-Canadá

Resumen

A method for finding initial difference blocks for certain balanced incomplete block designs by means of partitions of elements in finite rings is given. It is shown that multiplier theory for difference sets, when expressed. It terms of finite rings, can be useful in certain instances for obtaining appropriate partitions. In particular, despite the non-existence of a difference set for a (49, 49, 16, 16, 5) design, one can construct a (49, 98, 32, 16, 10) design by attempting the former.

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Cómo citar
Mullin, R. C. (1) «A ring partition construction for bibds», Revista Técnica de la Facultad de Ingeniería. Universidad del Zulia, 20. Disponible en: https://mail.produccioncientificaluz.org/index.php/tecnica/article/view/3884 (Accedido: 28diciembre2024).
Sección
Artículos de Investigación