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math.CO2026
The multilinear forms Cayley graph and the eigenvalue method for tensor codes
Eimear Byrne, Lucien François
The connections between graph theory, and more generally association schemes, and coding theory were established by Delsarte for the Hamming metric and rank-metric codes. The ambie…
math.CO2026
q-Polymatroids associated with restricted rank-metric codes
Eimear Byrne, Giovanni Longobardi, and Rocco Trombetti
In this article, we study polymatroids that are representable by means of linear restricted rank-metric codes, namely, by subspaces of the space of alternating, symmetric, or Hermi…