Name
Title | ||
|---|---|---|
Encoding via Gr??bner bases and discrete Fourier transforms for several types of algebraic codes |
Abstract | ||
|---|---|---|
We propose a novel encoding scheme for algebraic codes such as codes on algebraic curves, multidimensional cyclic codes, and hyperbolic cascaded Reed-Solomon codes and present numerical examples. We employ the recurrence from the Grobner basis of the locator ideal for a set of rational points and the two- dimensional inverse discrete Fourier transform. We generalize the functioning of the generator polynomial for Reed-Solomon codes and develop systematic encoding for various algebraic codes. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/ISIT.2007.4557619 | ISIT |
Keywords | DocType | ISBN |
Reed-Solomon codes,algebraic codes,cyclic codes,discrete Fourier transforms,encoding,inverse problems,2D inverse discrete Fourier transform,Grobner bases,algebraic codes,algebraic curves,encoding,hyperbolic cascaded Reed-Solomon codes,multidimensional cyclic codes | Conference | 978-1-4244-1397-3 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hajime Matsui | 1 | 18 | 8.14 |
| S. Mita | 2 | 18 | 2.34 |