Join Luciane Quoos's course "Semigroups and Algebraic Geometry Codes" from November 6 to 9.
Luciane Quoos is a professor at
Universidade Federal do Rio de Janeiro (Brazil)
The course will be given in English on zoom.
This is a recurrent meeting, so please register only once for all 4 sessions:
The course will take place on the following days (Paris time zone):
- Monday 6 November: 3pm - 5pm
- Tuesday 7 November: 3pm - 5pm
- Wednesday 8 November: 3pm - 5pm
- Thursday 9 November: 3pm - 5pm
A linear code is a vector subspace of Fq^n, wher Fq is a finite field with q elements. The family of linear error-correcting codes are specially important when one is attempting to transmit messages across a noisy communication channel. Data can be corrupted in transmission or storage by a variety of undesirable phenomenon, such as radio interference, electrical noise, scratch, etc.. It is useful to have a way to detect and correct such data corruption. An error correcting code can correct more errors larger is its minimum distance. This course aims to introduce a family of error correcting codes, the Algebraic Geometry Codes, and show how to use the theory of semigroups to improve the minimum distance of the code. This construction of codes make use of a function field in one variable over a finite field. We will show how the local information in one or two rational places, the knowledge of the semigroup in these places, can be used to improve the minimum distance of the code.
CIMPA does not provide certificates of attendance for online courses.
This course will be filmed at ICTP (Trieste, Italy).