Title
Polar decreasing monomial-Cartesian codes
Abstract
In this article, we introduce a new family of polar codes from evaluation codes, called polar decreasing monomial-Cartesian codes, and prove that families of polar codes with multiple kernels over certain symmetric channels can be viewed as polar decreasing monomial-Cartesian codes. This offers a unified treatment for such codes over any finite field. We define decreasing monomial-Cartesian codes ...
Year
DOI
Venue
2021
10.1109/TIT.2020.3047624
IEEE Transactions on Information Theory
Keywords
DocType
Volume
Polar codes,Kernel,Symmetric matrices,Reed-Solomon codes,Standards,Monte Carlo methods,Decoding
Journal
67
Issue
ISSN
Citations 
6
0018-9448
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Camps Eduardo100.34
Hiram H. López2204.81
Gretchen L. Matthews38113.47
Eliseo Sarmiento4163.00