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The BEL-construction for finite semifields was introduced in Ball et al. (J Algebra 311:117–129, 2007); a geometric method for constructing semifield spreads, using so-called BEL-configurations in $$V(rn,q)$$ V ( r n , q ) . In this paper we investigate this construction in greater detail, and determine an explicit multiplication for the semifield associated with a BEL-configuration in ...
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