A characterisation of tangent subplanes of PG(2, q³)
Date
2014
Authors
Barwick, S.
Jackson, W.
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Journal article
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Designs, Codes and Cryptography, 2014; 71(3):541-545
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S. G. Barwick, Wen-Ai Jackson
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Abstract
In “Barwick and Jackson (Finite Fields Appl. 18:93–107 2012)”, the authors determine the representation of Order-q-subplanes s and order-q-sublines of PG(2, q³) in the Bruck–Bose representation in PG(6, q). In particular, they showed that an Order-q-subplanes of PG(2, q³) corresponds to a certain ruled surface in PG(6, q). In this article we show that the converse holds, namely that any ruled surface satisfying the required properties corresponds to a tangent Order-q-subplanes of PG(2, q³).
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© Springer Science+Business Media New York 2012