Jacobi forms over totally real fields and codes over F-p

Abstract

In this paper we establish a connection between Jacobi forms over a totally real field k=Q(zeta+zeta(-1)), zeta=e(2pii/p), and codes over the field F-p. In particular, we derive a theta series, which is a Jacobi form, from the complete weight enumerator or the Lee weight enumerator of a self-dual code over F-p.