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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…
cs.IT2021
Linear Codes Associated to Symmetric Determinantal Varieties: Even Rank Case
Peter Beelen, Trygve Johnsen, Prasant Singh
We consider linear codes over a finite field of odd characteristic, derived from determinantal varieties, obtained from symmetric matrices of bounded ranks. A formula for the weigh…