3 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.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.CO2026
Periodicity of weight enumerators for codes generated by an integral matrix
Koji Imamura, Norihiro Nakashima, Takuya Saito
In the theory of error-correcting codes, the minimum weight and the weight enumerator play a crucial role in evaluating the error-correcting capacity. In this paper, by viewing the…