Solution to An Isotopism Question Concerning Rank 2 Semifields
Michel Lavrauw, Giuseppe Marino, Olga Polverino, Rocco Trombetti · Journal of Combinatorial Designs · 2013
Abstract In [8] Dempwolff gives a construction of three classes of rank two semifields of order , with q and n odd, using Dembowski–Ostrom polynomials. The question whether these semifields are new, i.e. not isotopic to previous constructions, is left as an open problem. In this paper we solve this problem for , in particular we prove that two of these classes, labeled and , are new for , whereas presemifields in family are isotopic to Generalized Twisted Fields for each .