The paper “Equivalence and Characterizations of Linear Rank-Metric Codes Based on Invariants” [arXiv] by Alessandro Neri (TU Munich, Germany), group member Sven Puchinger, and Anna-Lena Horlemann-Trautmann (University of St. Gallen, Switzerland) was accepted for publication in Linear Algebra and Its Applications.
The paper studies a tool to efficiently determine the equivalence of linear rank-metric codes – a topic of growing importance due to many new code constructions in the last years. Furthermore, bounds on the number of equivalence classes of two code families and different characterizations for one code class are given.