Self-dual codes over ℤ₄ and half-integral weight modular forms

Choie, YoungJu; Solé, Patrick

doi:10.1090/S0002-9939-02-06648-0

Self-dual codes over $\mathbb {Z}_{4}$ and half-integral weight modular forms
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Proc. Amer. Math. Soc. 130 (2002), 3125-3131 Request permission

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.

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