Balanced Howell rotations of the twin prime power type
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- by Ding Zhu Du and F. K. Hwang PDF
- Trans. Amer. Math. Soc. 271 (1982), 415-421 Request permission
Abstract:
We prove by construction that a balanced Howell rotation for $n$ players always exists if $n = {p^r}{q^s}$ where $p$ and $q \ne 3$ are primes and ${q^s} = {p^r} + 2$. This generalizes a much weaker previous result. The construction uses properties of a Galois domain which is a direct sum of two Galois fields.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 271 (1982), 415-421
- MSC: Primary 05B15; Secondary 90D12
- DOI: https://doi.org/10.1090/S0002-9947-1982-0654841-X
- MathSciNet review: 654841