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Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes.
- Source :
-
Finite Fields & Their Applications . Aug2021, Vol. 73, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 73
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 150258399
- Full Text :
- https://doi.org/10.1016/j.ffa.2021.101843