A remark on symplectic semifield planes and Z4-linear codes

We classify symplectic 4-dimensional semifields over ${\mathbb{F}}_q$, for $q\le 9$, thereby extending (and confirming) the previously obtained classifications for $q\le 7$. The classification is obtained by classifying all symplectic semifield subspaces in $\text{PG}(9,q)$ for $q\le ...\mathrm{}$$\mathrm{}$$\mathrm{}$$\mathrm{}$$\mathrm{}$$\mathrm{}$$\mathrm{}$${\mathbb{}}_{}$

In this paper, we study rank two semifields of order q^6 that are of scattered type. The known examples of such semifields are some Knuth semifields, some Generalized Twisted Fields and the semifields recently constructed in Marino et al. (in press) [12]...

In [G. Lunardon, Semifields and linear sets of PG(1,q^t), Quad. Mat., Dept. Math., Seconda Univ. Napoli, Caserta (in press)], G. Lunardon has exhibited a construction method yielding a theoretical family of semifields of order q^2^n,n>1 and n odd, with ...