Name
Abstract | ||
|---|---|---|
One-point codes on the Hermitian curve produce long codes with excellent parameters. Feng and Rao introduced a modified construction that improves the parameters while still using one-point divisors. A separate improvement of the parameters was introduced by Matthews considering the classical construction but with two-point divisors. Those two approaches are combined to describe an elementary construction of two-point improved codes. Upon analysis of their minimum distance and redundancy, it is observed that they improve on the previous constructions for a large range of designed distances. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TIT.2011.2146410 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
algebraic geometric codes,error correction codes,hermitian curves,error correcting codes,two point code,two point divisor,hermitian curve,error-correcting codes,improved codes,two-point codes | Discrete mathematics,Combinatorics,Algebra,Pole–zero plot,Block code,Image coding,Error detection and correction,Redundancy (engineering),Divisor,Hermitian matrix,Hermite interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
57 | 7 | 0018-9448 |
Citations | PageRank | References |
11 | 0.92 | 17 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| I. M. Duursma | 1 | 61 | 8.04 |
| R. Kirov | 2 | 11 | 0.92 |