Abstract
We show that a non-symmetric nearly triply regular \( 2 - \left( {{q^n},{q^{{n - 1}}},\frac{{{q^{{n - 1}}} - 1}}{{q - 1}}} \right) \)design D with υ1 = q n -2, υ2 = q n -3 and in which every line has at least q points is AG(n, q) for prime power q > 2 and positive integer n ≥ 3.
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Dedicated to Hanfried Lenz on the occasion of his 80th birthday
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© 1996 Kluwer Academic Publishers, Boston
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Pascasio, A.A., Praeger, C.E., Raposa, B.P. (1996). On the Characterisation of AG(n, q) by its Parameters as a Nearly Triply Regular Design. In: Jungnickel, D. (eds) Designs and Finite Geometries. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1395-3_13
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DOI: https://doi.org/10.1007/978-1-4613-1395-3_13
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