3 citations · 4 across the 5 of their papers we have counts for
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math.CO2026
On Representing Matroids via Modular Independence
Koji Imamura, Keisuke Shiromoto
We study a matrix-based notion of matroid representation over local commutative rings obtained by replacing linear independence with modular independence. This construction always…
math.CO2018★ 1 cited
Matroids and Codes with the Rank Metric
Keisuke Shiromoto
We study the relationship between a q-analogue of matroids and linear codes with the rank metric in the vector space of matrices with entries in a finite field. We prove a Greene t…