Name
Title | ||
|---|---|---|
Linear and Nonlinear Binary Kernels of Polar Codes of Small Dimensions With Maximum Exponents |
Abstract | ||
|---|---|---|
Polar codes are constructed based on kernels with polarizing properties. The performance of a polar code is characterized asymptotically in terms of the exponent of its kernel. The pioneering work of Arıkan on polar codes is based on a linear kernel of dimension two and exponent 0.5. In this paper, constructions of linear and nonlinear binary kernels of dimensions up to 16 are presented. The kerne... |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1109/TIT.2015.2469298 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
Kernel,Hamming distance,Matrix decomposition,Linear codes,Computers,Upper bound,Standards | Kernel (linear algebra),Discrete mathematics,Combinatorics,Nonlinear system,Exponent,Upper and lower bounds,Mathematical analysis,Hamming distance,Polar code,Linear code,Variable kernel density estimation,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 10 | 0018-9448 |
Citations | PageRank | References |
7 | 0.61 | 18 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| hsienping lin | 1 | 15 | 2.50 |
| S. Lin | 2 | 1280 | 124.59 |
| Khaled A. S. Abdel-Ghaffar | 3 | 616 | 122.03 |