Abstract
Abstract We classify the rank two commutative semifields which are 8-dimensional over their center 𝔽 q . This is done using computational methods utilizing the connection to linear sets in PG(2, q 4). We then apply our methods to complete the classification of rank two commutative semifields which are 10-dimensional over 𝔽3. The implications of these results are detailed for other geometric structures such as semifield flocks, ovoids of parabolic quadrics, and eggs.
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