Abstract | ||
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The algebraic geometric tools used by Goppa to construct block codes with good properties have been also used successfully in the setting of convolutional codes. We present here this construction carried out over elliptic curves, yielding a variety of codes which are optimal with respect to different bounds. We provide a number of examples for different values of their parameters, including some explicit strongly MDS convolutional codes. We also introduce some conditions for certain codes of this class to be MDS. |
Year | DOI | Venue |
---|---|---|
2009 | 10.1007/978-3-642-02181-7_9 | AAECC |
Keywords | Field | DocType |
mds convolutional code,elliptic curve,convolutional code,algebraic geometric tool,certain code,elliptic convolutional goppa codes,block code,different bound,different value,good property,block codes | Discrete mathematics,Combinatorics,Convolutional code,Algebra,Serial concatenated convolutional codes,Block code,Turbo code,Expander code,Goppa code,Reed–Muller code,Linear code,Mathematics | Conference |
Volume | ISSN | Citations |
5527 | 0302-9743 | 0 |
PageRank | References | Authors |
0.34 | 6 | 1 |
Name | Order | Citations | PageRank |
---|---|---|---|
José Ignacio Iglesias Curto | 1 | 4 | 2.12 |