Title
Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes
Abstract
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 geodesic between these points once a complete flag is fixed. These geodesics are used to construct a large set of parity checks orthogonal on a coordinate of the code, resulting in a majority decoding algorithm.
Year
DOI
Venue
2021
10.1016/j.ffa.2021.101843
Finite Fields and Their Applications
Keywords
DocType
Volume
94B27,14G50
Journal
73
ISSN
Citations 
PageRank 
1071-5797
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Beelen Peter100.34
Prasant Singh221.80