Title
On Elliptic Convolutional Goppa Codes
Abstract
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 Curto142.12