Jacobi forms over totally real fields and type II codes over Galois rings GR(2m, f)

Authors:
K. Betsumiya;Y. Choie
Affiliations:
Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea;Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea
Venue:
European Journal of Combinatorics - Special issue on arithmétique et combinatoire
Year:
2004

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Abstract

In this paper, we study the invariant polynomial ring of the generalized Clifford-Weil group and give a connection to Jacobi modular forms over the totally real field. The invariant polynomials can be constructed from the weight enumerators of type II codes over the Galois rings.