2-Designs and a differential equation |
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| Authors: | Johannes Siemons |
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| Institution: | (1) Department of Mathematics, university College Dublin, Belfield, Dublin 4, Republic of Ireland;(2) Rittnertstraße 53, D 7500 Karlsruhe, West Germany |
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| Abstract: | We show that 2-designs with given parameters v, k,  are in one-to-one correspondence to polynomials that solve a certain differential equation and have coefficients equal to zero or one. From this result we derive an existence theorem whereby designs correspond to integer points on a sphere in Euclidean space. |
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