Abstract
We define the concept of t-design for real hyperbolic space ℍn, as an analogue of the definition of Euclidean t-design. Then, we discuss the similarities between the concept of t-design on ℍn or ℝn, and the concept of relative t-design defined for association schemes by Delsarte: Pairs of vectors in the space of an association scheme (1977).
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Acknowledgements
This work was done while the authors are visiting Hebei Normal University for 3 months, from Sept. to Dec. 2010. The authors thank Professor Suogang Gao and Hebei Normal University for their hospitalities. The authors thank the referees for valuable comments.
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Bannai, E., Bannai, E. Remarks on the concepts of t-designs. J. Appl. Math. Comput. 40, 195–207 (2012). https://doi.org/10.1007/s12190-012-0544-1
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DOI: https://doi.org/10.1007/s12190-012-0544-1