Balanced Nested Designs and Balanced n-ary Designs

نویسندگان

  • Ryoh Fuji-Hara
  • Shinji Kuriki
  • Ying Miao
  • Satoshi Shinohara
  • Sumiyasu Yamamoto
چکیده

We introduce here two types of balanced nested designs (BND), which are called symmetric and pair-sum BNDs. In this paper, we give a construction for pair-sum BNDs of BIBDs from nested BIBDs and perpendicular arrays. We also give some direct constructions for pair-sum BNDs of BIBDs, based on the result obtained by Wilson (1972). By use of these constructions, we show some constructions for regular balanced n-ary designs. AMS classification : Primary 05B05; secondary 62K10

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تاریخ انتشار 2003