Abstract | ||
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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 Eduardo | 1 | 0 | 0.34 |
Hiram H. López | 2 | 20 | 4.81 |
Gretchen L. Matthews | 3 | 81 | 13.47 |
Eliseo Sarmiento | 4 | 16 | 3.00 |