Partially balanced incomplete block designs from weakly divisible nearrings |
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Authors: | A Benini F Morini |
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Institution: | Dipartimento di Matematica, Facoltà di Ingegneria, Università degli Studi di Brescia, Via Valotti 9, I-25133 Brescia, Italy |
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Abstract: | In 6] Riv. Mat. Univ. Parma 11 (2) (1970) 79-96] Ferrero demonstrates a connection between a restricted class of planar nearrings and balanced incomplete block designs. In this paper, bearing in mind the links between planar nearrings and weakly divisible nearrings (wd-nearrings), first we show the construction of a family of partially balanced incomplete block designs from a special class of wd-nearrings; consequently, we are able to give some formulas for calculating the design parameters. |
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Keywords: | Block design Association scheme Nearring |
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