English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In [U. Dempwolff: More Translation Planes and Semifields fromDembowski-Ostrom Polynomials, Designs, Codes, Cryptogr. \textbf{68} (1-3)(2013), 81-103], the author gives a construction of three classes of rank twosemifields of order $q^{2n}$, with $q$ and $n$ odd, using Dembowski-Ostrompolynomials. The question whether these semifields are new, i.e. not isotopicto previous constructions, is left as an open problem. In this paper we solvethis problem for $n>3$, in particular we prove that two of these classes,labeled $D_{A}$ and $D_{AB}$, are new for $n>3$, whereas presemifields infamily $D_{B}$ are isotopic to Generalized Twisted Fields for each $n\geq 3$.

Solution to an isotopism question concerning rank 2 semifields