Rank-metric codes are codes consisting of matrices with entries in a finite field, with the
distance between two matrices being the rank of their difference. Codes with maximum size …

A quantum procedure for testing the commutativity of a finite dimensional algebra is
introduced. This algorithm, based on Grover's quantum search, is shown to provide a …

We determine the tensor rank of all semifields of order 16 over F 2 and of all semifields of
order 81 over F 3. Our results imply that some semifields of order 81 have lower …

Determination of division algebras with 243 elements Page 1 Finite Fields and Their Applications
18 (2012) 1148–1155 Contents lists available at SciVerse ScienceDirect Finite Fields and Their …

We survey the results regarding semi-extraspecial p-groups. Semi-extraspecial groups can
be viewed as generalizations of extraspecial groups. We present the connections between …

Full article: Finite semifields with 74 elements Skip to Main Content Taylor and Francis Online
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In this article we introduce the notion of the BEL-rank of a finite semifield, prove that it is an
invariant for the isotopism classes, and give geometric and algebraic interpretations of this …

In this thesis we are concerned with themes suggested by rank properties of subspaces of
matrices. Historically, most work on these topics has been devoted to matrices over such …

In this paper we prove a result on the structure of the elements of an additive maximum rank
distance (MRD) code over the field of order two, namely that in some cases such codes must …

We all know that two different straight lines either meet in one point or don't meet at all, and
they don't meet if and only if they have the same slope m. We call the lines that don't meet …