2 papers
math.CO2026
Higher Rank-Support Weights and q-Polymatroids
Koji Imamura, Shinya Kawabuchi, Keisuke Shiromoto
The aim of this paper is to develop a -polymatroidal approach to higher supports and higher rank-weight enumerators of rank-metric codes. In this framework, we establish ana…
math.CO2025
On the one-dimensional extensions of -matroids
Koji Imamura, Shinya Kawabuchi, Keisuke Shiromoto
In this paper we introduce a -analogue of the single-element extensions of matroids for -matroids, which we call one-dimensional extensions. To enumerate such extensions, we…