Abstract
We construct r-nets of many different orders which have no ovals and r-nets of many other orders which have no hyperovals.
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Drake, D.A., Myrvold, W. Nets of Small Degree Without Ovals. Designs, Codes and Cryptography 32, 167–183 (2004). https://doi.org/10.1023/B:DESI.0000029220.27696.d0
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DOI: https://doi.org/10.1023/B:DESI.0000029220.27696.d0