Algebraic geometry constructions of convolutional codes. (English) Zbl 1180.94080
Martínez-Moro, Edgar (ed.) et al., Advances in algebraic geometry codes. Hackensack, NJ: World Scientific (ISBN 978-981-279-400-0/hbk). Series on Coding Theory and Cryptology 5, 391-417 (2008).
Summary: Algebraic-geometric techniques to construct linear codes can be applied to construct convolutional codes, using algebraic curves over function fields. In this way we construct convolutional Goppa codes and provide a systematic way for constructing convolutional codes with prescribed properties. We study convolutional Goppa codes defined by the projective line and elliptic curves in detail.
For the entire collection see [Zbl 1155.94006].
For the entire collection see [Zbl 1155.94006].
MSC:
| 94B10 | Convolutional codes |
