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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.

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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. .