Abstract
In the symplectic polar space W 5(q) every 1-system which satisfies the BLT-property (and then q is odd) defines a generalized quadrangle (GQ) of order (q 2,q 3). In this paper, we show that this 1-system is unique, so that the only GQ arising in this way is isomorphic to the classical GQ H(4,q 2), q odd.
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Thas, J.A. The uniqueness of 1-systems of W 5(q) satisfying the BLT-property, with q odd. Des. Codes Cryptogr. 44, 3–10 (2007). https://doi.org/10.1007/s10623-007-9039-8
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DOI: https://doi.org/10.1007/s10623-007-9039-8