Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10118350 | European Journal of Combinatorics | 2005 | 22 Pages |
Abstract
We study codes over a finite field F4. We relate self-dual codes over F4 to real 5-modular lattices and to self-dual codes over F2 via a Gray map. We construct Jacobi forms over Q(5) from the complete weight enumerators of self-dual codes over F4. Furthermore, we relate Hilbert-Siegel forms to the joint weight enumerators of self-dual codes over F4.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Koichi Betsumiya, YoungJu Choie,