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.
PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS FROM WEAKLY DIVISIBLE NEARRINGS / Benini, A; Morini, Fiorenza. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - 301:(2005), pp. 34-45. [10.1016/j.disc.2005.03.026]
PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS FROM WEAKLY DIVISIBLE NEARRINGS
MORINI, Fiorenza
2005-01-01
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.| File | Dimensione | Formato | |
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