Self-dual codes over $\mathbb {Z}_{4}$ and half-integral weight modular forms
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- by YoungJu Choie and Patrick Solé PDF
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Abstract:
In this paper, we find a connection between the weight enumerator of self-dual ${\mathbb {Z}}_4$ codes and half-integral weight modular forms. We generalize in that way results of Broué-Enguehard, Hirzebruch, Ozeki, Rains-Sloane, Runge.References
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Additional Information
- YoungJu Choie
- Affiliation: Department of Mathematics, Pohang University of Science and Technology, Pohang, 790–784, Korea
- Email: yjc@postech.ac.kr
- Patrick Solé
- Affiliation: CNRS-I3S, ESSI, Route des Colles, 06 903 Sophia Antipolis, France
- MR Author ID: 225546
- Email: ps@essi.fr
- Received by editor(s): August 5, 2000
- Published electronically: May 22, 2002
- Additional Notes: This research was partially supported by COM2MAC
- Communicated by: Dennis A. Hejhal
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3125-3131
- MSC (1991): Primary 05E20, 11F11, 11F50, 94B99, 05E99
- DOI: https://doi.org/10.1090/S0002-9939-02-06648-0
- MathSciNet review: 1912988