A new semifield of order 2^{10}

In 2009 N. L. Johnson, G. Marino, O. Polverino and R. Trombetti introduced a family of semifields of order q^{2n}, n > 1 and n odd, with left nucleus F_{q^n} , right and middle nuclei both F_{q^2} and center F_q. Moreover, G. Lunardon exhibited a construction method yielding a theoretical family of order q^{2n} having the same parameters. For n > 3 it is not known if the two families produce isotopic semifields. In this article, the authors prove that for n > 3 any semifield from the theoretical family of semifields introduced by Lunardon is not isotopic to any semifield introduced in the first paper cited above; also, this family is not empty when n > 3, by exhibiting for n = 5 a semifield of order 210, which turns out to be non-isotopic to any other known semifield.