Abstract

Skew starters, balanced starters, partitionable starters are used in the construction of various combinatorial designs and configurations such as Room squares, Howell designs and Howell rotations. In this paper, we construct partitionable starters of order n when n is a product of two prime powers differing by 2. These partitionable starters are shown to be skew for n ⩾ 143. The results imply the existence of certain balanced Howell rotations. Moreover, we show the existence of partionable balanced starters of order n = 2 m −1.

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