Abstract
A Dembowski semi-plane is a semi-plane obtained from a projective plane by Dembowski's method [1]. A semi Laguerre plane is an incidence structure J = (P, B1 ∪ B2, I) for which: (a) every element of P is incident with one element of B1, (b) an element of B1 and an element of B2 are incident with at most one common element of P, (c) each residual space of J (with respect to B1) is a Dembowski semi-plane, (d) B2 ≠ ∅ and each element of B2 is incident with at least 4 elements of P. We prove that all semi Laguerre planes are substructures of Laguerre planes or special Laguerre planes (in the sense of Thas, Willems [3], [4]). Therefore, these incidence structures are related to optimal codes ([5], [6]).
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