Finite fields
Finite geometries
On Fq-linear sets of PG(3,q3) and semifields
Journal of Combinatorial Theory Series A
Simplectic spreads and finite semifields
Designs, Codes and Cryptography
Semifields of order q6 with left nucleus Fq3 and center Fq
Finite Fields and Their Applications
On a generalization of cyclic semifields
Journal of Algebraic Combinatorics: An International Journal
Towards the classification of rank 2 semifields 6-dimensional over their center
Designs, Codes and Cryptography
Fq-pseudoreguli of PG(3,q3) and scattered semifields of order q6
Finite Fields and Their Applications
On the multiplication of some semifields of order q 6
Finite Fields and Their Applications
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In this paper we obtain a new description of the translation dual of a semifield introduced in [G. Lunardon, Translation ovoids, J. Geom. 76 (2003) 200-215]. Using such a description we are able to prove that a semifield and its translation dual have nuclei of the same order. Combining the Knuth cubical array and the translation dual, we give an alternate description of the chain of twelve semifields in the table of [S. Ball, G.L. Ebert, M. Lavrauw, A geometric construction of finite semifields, J. Algebra 311 (2007) 117-129].