Contents

Ars Combinatoria

  • Research article

Jacobi Forms and Hilbert-Siegel Modular Forms over Totally Real Fields and Self-Dual Codes over Polynomial Rings \(\mathbb{Z_{2m}}[x]/ \langle g(x) \rangle\)

YoungJu Choie1, Steven Dougherty2, Hongwei Liu3
1Dept. of Math. POSTECH Pohang, Korea 790-784
2 Dept.of Math. University of Scranton Scranton, PA 18510, USA
3 Dept. of Math. Huazhong Normal University Wuhan, Hubei 430079 , China
  • Published: 31/10/2012

Abstract

In this paper, we study codes over polynomial rings and establish a connection to Jacobi Hilbert modular forms, specifically Hilbert modular forms over the totally real field via the complete weight enumerators of codes over polynomial rings.

Citation
YoungJu Choie, Steven Dougherty, Hongwei Liu. Jacobi Forms and Hilbert-Siegel Modular Forms over Totally Real Fields and Self-Dual Codes over Polynomial Rings \(\mathbb{Z_{2m}}[x]/ \langle g(x) \rangle\)[J], Ars Combinatoria, Volume 107. 141-160. .