De Brún Centre for Computational Algebra

National University of Ireland, Galway

Course Page

Titles of the lectures

1  Lattices and modular forms

2 Lattices and spherical designs

3 Codes and invariant theory

4  Lattices and Codes 

Slides

Lecture 1 

Lecture 2

Lecture 3

Lecture 4

 

Suggested reading

1  “Lattices and Codes” by W. Ebeling (Vieweg)
2  “Reseaux et designs spheriques” by B. Venkov (L'enseignements mathematiques monographie no 37 (2001)
3  G. Nebe,  E.M. Rains and N.J.A. “Sloane Self-dual codes and invariant theory” (ACM volume 17, Springer 2006)

shorter version in

4 G. Nebe, E. Rains and N. Sloane
“Codes and invariant theory” Mathematische Nachrichten 274-275, 104-116 (2004) available on my homepage
http://www.math.rwth-aachen.de/~Gabriele.Nebe/papers/cliffannounce.pdf

Gabriele Nebe

Gabriele Nebe

Lattices and Codes