Abstract
We show that every non-degenerate planar space with v points and π planes can be embedded as a linear space into PG(3,q) for some prime power q provided that 1000(π - v) ≤ v5/6;
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Metsch, K. Embedding the Linear Structure of Planar Spaces into Projective Spaces. Designs, Codes and Cryptography 10, 251–263 (1997). https://doi.org/10.1023/A:1008204706529
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DOI: https://doi.org/10.1023/A:1008204706529