Sudhir R. Ghorpade

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20232025

most citedOn the Minimum Distance, Minimum Weight Codewords, and the Dimension of Projective Reed-Muller Codes

11 citations · 11 across the 4 of their papers we have counts for

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math.CO2024

Betti Numbers and Higher Weight Spectra of Reed-Muller Codes $R M_{q} (2, 2)$

Sudhir R. Ghorpade, Trygve Johnsen, Rati Ludhani +1

We determine all the Betti numbers of the $q$ -ary second order Reed-Muller codes of length $q^{2}$ , and also of the elongations of matroids associated to these codes. We then use it…

math.CO2024

Homotopy type of shellable $q$ -complexes and their homology groups

Sudhir R. Ghorpade, Rakhi Pratihar, Tovohery H. Randrianarisoa +2

The theory of shellable simplicial complexes brings together combinatorics, algebra, and topology in a remarkable way. Initially introduced by Alder for $q$ -simplicial complexes, r…

Betti Numbers and Higher Weight Spectra of Reed-Muller Codes RMq​(2,2)

Homotopy type of shellable q-complexes and their homology groups

Betti Numbers and Higher Weight Spectra of Reed-Muller Codes $R M_{q} (2, 2)$

Homotopy type of shellable $q$ -complexes and their homology groups