Publications/Preprints

Journal articles :

• •  "Shellability and homology of q-complexes and q-matroids",  with Sudhir R. Ghorpade and Tovohery H. Randrianarisoa,  Journal of Algebraic Combinatorics,  vol. 56, pp.  1135 - 1162, 2022. https://doi.org/10.1007/s10801-022-01150-1

  • "Weight spectra of Gabidulin rank-metric codes and Betti numbers", with Trygve Johnsen and Hugues Verdure, São Paulo Journal of Mathematical Sciences,  vol. 17, pp. 208 - 241, 2022. https://link.springer.com/article/10.1007/s40863-022-00314-y

  • "Constructions of optimal rank-metric codes from automorphisms of rational function fields", with Tovohery H. Randrianarisoa, Advances in Mathematics of Communications, vol. 17, Issue 1, pp. 262 - 287, 2023. https://www.aimsciences.org/article/doi/10.3934/amc.2022034

  • "Some matroids related to sum-rank metric codes", with Avijit Panja and Tovohery H. Randrianarisoa, Discrete Mathematics, vol. 346, Issue 4, 2023. https://doi.org/10.1016/j.disc.2022.113301

  •  "Antipodal two-weight rank-metric codes",  with Tovohery H. Randrianarisoa, Designs, Codes, and Cryptography, 2023. https://doi.org/10.1007/s10623-023-01283-9

  •  "Insdel codes from subspace and rank-metric codes",  with Vaneet Aggarwal, Discrete Mathematics, vol. 347, Issue 1, 2024. https://doi.org/10.1016/j.disc.2023.113675

Preprints:

• "The Euler characteristic, q-matroids, and a Möbius function", with Trygve Johnsen and Tovohery H. Randrianarisoa, https://arxiv.org/abs/2210.12483

•  "Homotopy type of shellable  q-complexes and their homology groups",  with Sudhir Ghorpade, Tovohery H. Randrianarisoa, Hugues Verdure, and Glen Wilson. https://arxiv.org/abs/2403.07102

Manuscripts under preparation: 

• A lattice framework for generalizing shellable complexes and matroids,  with Tovohery H. Randrianarisoa and Klara Stokes.

• Higher weight spectra and Betti numbers of Reed-Muller code RM_q(2,2), with Sudhir Ghorpade, Trygve Johnsen, Rati Ludhani.

• Decoding rank metric Reed-Muller codes, with Alain Couvreur.