1 citations · 2 across the 19 of their papers we have counts for
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math.CO2018
Binary additive MRD codes with minimum distance n-1 must contain a semifield spread set
John Sheekey
In this paper we prove a result on the structure of the elements of an additive {\it maximum rank distance (MRD) code} over the field of order two, namely that in some cases such c…
math.CO2018
Rank-metric codes, linear sets, and their duality
John Sheekey, Geertrui Van de Voorde
In this paper we investigate connections between linear sets and subspaces of linear maps. We give a geometric interpretation of the results of [18, Section 5] on linear sets on a…
math.CO2018
New Semifields and new MRD Codes from Skew Polynomial Rings
John Sheekey
In this article we construct a new family of semifields, containing and extending two well-known families, namely Albert's generalised twisted fields and Petit's cyclic semifields…