4 papers
The Star Product of Uniformly Random Codes
Johan Vester Dinesen, Ragnar Freij-Hollanti, Camilla Hollanti +2
We consider the problem of determining the expected dimension of the star product of two uniformly random linear codes that are not necessarily of the same dimension. We use a corr…
Almost Affine Vector Rank-Metric Codes
Matteo Bonini, Johan Vester Dinesen
We define almost affine vector rank-metric codes as subsets whose canonical projections have cardinalities that are powers of , and p…
A -Polymatroid Framework for Information Leakage in Secure Linear Network Coding
Eimear Byrne, Johan Vester Dinesen, Ragnar Freij-Hollanti +1
We study information leakage in secure linear network coding schemes based on nested rank-metric codes. We show that the amount of information leaked to an adversary that observes…
Secret Sharing in the Rank Metric
Johan Vester Dinesen, Eimear Byrne, Ragnar Freij-Hollanti +1
The connection between secret sharing and matroid theory is well established. In this paper, we generalize the concepts of secret sharing and matroid ports to -polymatroids. Spe…