3 papers
math.CO2026
Towards the characterization of minimum weight codewords of Schubert codes
Mrinmoy Datta, Tiasa Dutta, Trygve Johnsen
A conjectural formula for the minimum weight of Schubert codes was conjectured by Ghorpade in 2000. This was established by Xiang in 2008. In 2018, Ghorpade and Singh provided a ne…
cs.IT2025
On the hull-variation problem of equivalent vector rank metric codes
Duy Ho, Trygve Johnsen
The intersection of a linear code with its dual is called the hull of the code. It is known that, for classical linear codes under the Hamming-metric, the dimension of the hull can…
math.AG2024
Linear codes associated to symmetric determinantal varieties; General case
Peter Beelen, Trygve Johnsen, Prasant Singh
The study of linear codes over a finite field of odd cardinality, derived from determinantal varieties obtained from symmetric matrices of bounded rank, was initiated in a recent p…