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cs.IT2022
Divisible linear rank metric codes
Olga Polverino, Paolo Santonastaso, John Sheekey +1
A subspace of matrices over can be naturally embedded as a subspace of matrices in with the property that the rank of an…
math.CO2022
Symplectic 4-dimensional semifields of order and
Michel Lavrauw, John Sheekey
We classify symplectic 4-dimensional semifields over , for , thereby extending (and confirming) the previously obtained classifications for . The cl…
math.CO2022
Rank-Metric Codes, Semifields, and the Average Critical Problem
Anina Gruica, Alberto Ravagnani, John Sheekey +1
We investigate two fundamental questions intersecting coding theory and combinatorial geometry, with emphasis on their connections. These are the problem of computing the asymptoti…