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math.CO2022
The Euler characteristic, -matroids, and a Möbius function
Trygve Johnsen, Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa
We first give two new proofs of an old result that the reduced Euler characteristic of a matroid complex is equal to the Möbius number of the lattice of cycles of the matroid up to…
cs.IT2022
Antipodal two-weight rank metric codes
Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa
We consider the class of linear antipodal two-weight rank metric codes and discuss their properties and characterization in terms of -spreads. It is shown that the dimension of…