Existence of symmetric skew balanced starters for odd prime powers
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- by Ding Zhu Du and F. K. Hwang PDF
- Proc. Amer. Math. Soc. 104 (1988), 660-667 Request permission
Abstract:
Strong starters and skew starters have been widely used in various combinatorial designs. In particular skew balanced starters and symmetric skew balanced starters are crucially used in the construction of completely balanced Howell rotations. Let $n = {2^m}k + 1$ be an odd prime power where $m \geq 2$ and $k$ is an odd number. The existence of symmetric skew balanced starters for $GF(n)$ has been proved for $m \geq 2$ and $k \ne 1,3,9$. In this paper, we present a new approach which gives a uniform proof of the existence of symmetric skew balanced starters for all $m \geq 2$ and $k \geq 3$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 660-667
- MSC: Primary 05B10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0962844-1
- MathSciNet review: 962844