27 citations · 27 across the 5 of their papers we have counts for
5 papers
On Some Ternary LCD Codes
Nitin S. Darkunde, Arunkumar R. Patil
The main aim of this paper is to study codes. Linear code with complementary dual() are those codes which have their intersection with their dual code as . In thi…
Gröbner Bases for Schubert Codes
Arunkumar R. Patil, Nitin S. Darkunde
We consider the problem of determining Gröbner bases of binomial ideals associated with linear error correcting codes. Computation of Gröbner bases of linear codes have become a to…
Higher weights of Grassmann codes in terms of properties of Schubert unions
Sudhir R. Ghorpade, Trygve Johnsen, Arunkumar R. Patil +1
We describe the higher weights of the Grassmann codes over finite fields in terms of properties of Schubert unions, and in each case we determine the weigh…
Subclose Families, Threshold Graphs, and the Weight Hierarchy of Grassmann and Schubert Codes
Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. Pillai
We discuss the problem of determining the complete weight hierarchy of linear error correcting codes associated to Grassmann varieties and, more generally, to Schubert varieties in…
Decomposable Subspaces, Linear Sections of Grassmann Varieties, and Higher Weights of Grassmann Codes
Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. Pillai
Given a homogeneous component of an exterior algebra, we characterize those subspaces in which every nonzero element is decomposable. In geometric terms, this corresponds to charac…