Cyclic orthogonal and balanced arrays
نویسندگان
چکیده
Kuriki and Fuji-Hara (1994) introduced an (r, 2)-design with mutually balanced nested subdesigns ((r, 2)-design with MBN), which is equivalent to a balanced array of strength 2 with s symbols, and gave some constructions of such (r, 2)-designs. In this paper, we consider cyclic orthogonal and balanced arrays, and we give a cyclic version of the results obtained by them. Furthermore, we give a construction of a cyclic (r, 2)-design with MBN by a product method. By the construction, new cyclic balanced arrays with s ~> 3 are presented. A M S classification: Primary 05B30; secondary 62K15; 05B05
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