4 papers · 1 filter
Generalising Latin square orthogonality and Frobenius-König with alternating sign matrices
Alena Ernst, Stefano Lia, Cian O'Brien +2
The theory of Latin squares has a long history. While the objects themselves appeared earlier, the study of their general mathematical theory dates back to Euler in the 18th centur…
New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256
Jack Gilchrist, Stefano Lia, Arani Paul +1
In this paper we completely classify semifields of order containing a nucleus of order . We introduce new invariants for semifields, and apply new computational t…
Segre Varieties and Desarguesian Spreads
Antonio Cossidente, Giuseppe Marino, Francesco Pavese +2
Let denote the -dimensional projective space over . We investigate the intersection of two Desarguesian -spreads of $\mathrm{PG}(kh…
Quotients of skew polynomial rings: new constructions of division algebras and MRD codes
F. J. Lobillo, Paolo Santonastaso, John Sheekey
We achieve new results on skew polynomial rings and their quotients, including the first explicit example of a skew polynomial ring where the ratio of the degree of a skew polynomi…