Name
Abstract | ||
|---|---|---|
Skew polynomials are elements of a noncommutative ring that, in recent years, have found applications in coding theory and cryptography. Skew polynomials have a well-defined evaluation map. This map leads to the definition of a class of codes called Generalized Skew-Evaluation codes that contains Gabidulin codes as a special case as well as other related codes with additional desirable properties. A Berlekamp-Welch-type decoder for an important class of these codes can be constructed using Kötter interpolation in skew polynomial rings. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1109/CWIT.2015.7255141 | 2015 IEEE 14th Canadian Workshop on Information Theory (CWIT) |
Keywords | Field | DocType |
generalized skew-evaluation codes,skew polynomials,noncommutative ring,coding theory,cryptography,evaluation map,Gabidulin codes,Berlekamp-Welch-type decoder,Kötter interpolation | Discrete mathematics,Concatenated error correction code,BCJR algorithm,Berlekamp–Welch algorithm,Algebra,Luby transform code,Block code,Turbo code,Expander code,Linear code,Mathematics | Conference |
Citations | PageRank | References |
4 | 0.42 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Siyu Liu | 1 | 18 | 8.31 |
| Felice Manganiello | 2 | 28 | 1.70 |
| R. Frank | 3 | 2685 | 311.25 |