9 citations · 14 across the 7 of their papers we have counts for
7 papers
Minimum Schubert Codewords and Second-Minimum Grassmann Codewords
Muskan Khaneja, Prasant Singh
In this paper, we give a classification of the minimum weight codewords of Schubert codes by settling the conjecture proposed by Ghorpade and Singh in 2018, for all…
Orbit Structure of Grassmannian and a decoder for Grassmann code
Fernando Piñero, Prasant Singh
In this manuscript, we consider decoding Grassmann codes, linear codes associated to Grassmannian of planes in an affine space. We look at the orbit structure of Grassmannian arisi…
Pure Resolutions, Linear Codes, and Betti Numbers
Sudhir R. Ghorpade, Prasant Singh
We consider the minimal free resolutions of Stanley-Reisner rings associated to linear codes and give an intrinsic characterization of linear codes having a pure resolution. We use…
Majority Logic Decoding for Certain Schubert Codes Using Lines in Schubert Varieties
Prasant Singh
In this article, we consider Schubert codes, linear codes associated to Schubert varieties, and discuss minimum weight codewords for dual Schubert codes. The notion of lines in Sch…
Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes
Peter Beelen, Prasant Singh
In this article, we consider the decoding problem of Grassmann codes using majority logic. We show that for two points of the Grassmannian, there exists a canonical path between th…
Linear Codes Associated to Skew-symmetric Determinantal Varieties
Peter Beelen, Prasant Singh
In this article we consider linear codes coming from skew-symmetric determinantal varieties, which are defined by the vanishing of minors of a certain fixed size in the space of sk…