2 papers
math.CO2026
Towards the characterization of minimum weight codewords of Schubert codes
Mrinmoy Datta, Tiasa Dutta, Trygve Johnsen
A conjectural formula for the minimum weight of Schubert codes was conjectured by Ghorpade in 2000. This was established by Xiang in 2008. In 2018, Ghorpade and Singh provided a ne…
math.CO2025
The second minimum weight of Grassmann codes
Mrinmoy Datta, Tiasa Dutta
We give an independent combinatorial proof of Nogin's Theorem concerning the minimum distance of the Grassmann codes using a special decomposition of the Grassmannians. We use the…