The isotopism problem of a class of 6-dimensional rank 2 semifields and its solution
Lavrauw, Michel · Marino, Giuseppe · Polverino, Olga · Trombetti, Rocco
Original · EN
In [U. Dempwolff: More Translation Planes and Semifields from Dembowski-Ostrom Polynomials, Designs, Codes, Cryptogr. 68 (1-3) (2013), 81--103] three classes of rank two presemifields of order q²ⁿ, with q and n odd, were exhibited, leaving as an open problem the isotopy issue. In [M. Lavrauw, G. Marino, O. Polverino, R. Trombetti: Solution to an isotopism question concerning rank 2 semifields, J. Comb. Des., to appear. DOI: 10.1002/jcd.21382], the authors faced with this problem answering the question whether these presemifields are new for n>3. In this paper we complete the study solving the case n=3.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.