A characterisation of tangent subplanes of PG(2, q (3))

作者：Barwick S G^*; Jackson Wen Ai

来源：Designs, Codes and Cryptography, 2014, 71(3): 541-545.

DOI：10.1007/s10623-012-9754-7

• Bruck-Bose representation
• PG( 2q(3))
• Order q subplanes

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, q (3)) in the Bruck-Bose representation in PG(6, q). In particular, they showed that an Order-q-subplanes of PG(2, q (3)) 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, q (3)).

• 出版日期2014-6