5 citations · 5 across the 3 of their papers we have counts for
3 papers
cs.IT2020★ 5 cited
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…
cs.IT2020
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…
cs.IT2020
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…