Vortrag von Gianira Nicoletta Alfarano
Datum: 01.10.19 Zeit: 17.15 - 18.30 Raum:
The theory of error-correcting codes has inspired many mathematicians who were interested in applying techniques from algebra and discrete mathematics in order to progress on questions in information processing. Convolutional codes were introduced in 1955 by Peter Elias, as an interesting natural generalization of classical block codes and they have been widely implemented in practice with applications in mobile communications, satellite communications and data streaming. In this talk, we are going to introduce the theory of error-correcting codes and the classical theory of linear block codes. Then, we will give a mathematical description of convolutional codes, by using module theory over a polynomial ring and we will discuss their most important parameters.