| Directions |
Future Talks |
Overview |
Past Talks |
People |
Number Theory
Student Seminar
Invites you
to our next gathering
|
Time: Place: |
|
| |
On asymptotically good towers of
algebraic geometry codes |
|
Speaker: |
Caleb Shor (Boston University)
|
| Abstract: |
Algebraic geometry codes were described in the early 1980s, and they have
attracted interest because, with them, one can prove the existence of
codes with good properties, namely minimum distance and dimension. To
create these codes, one needs to find ''asymptotically good'' towers of
curves over a finite field, which are towers of curves that have many
points relative to the genus in every level. A lot of work has been done
to find asymptotically good towers of curves, but less is known about the
corresponding codes.
In this talk, we will see some asymptotically good towers of curves and also discuss how to explicitly construct codes from some of them. |
|
|
|