Solution to An Isotopism Question Concerning Rank 2 Semifields
Journal of Combinatorial Designs2013Vol. 23(2), pp. 60–77
Citations Over TimeTop 19% of 2013 papers
Abstract
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 .
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