Splitting the shadow
نویسندگان
چکیده
We derive formulae for the theta series of the two translates of the even sublattice of an odd unimodular lattice that constitute the shadow of . The proof rests on special evaluations of the Jacobi theta series attached to and to a certain vector. We produce an analogous theorem for codes. Additionally, we construct non-linear formally self-dual codes and relate them to lattices.
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عنوان ژورنال:
- Discrete Mathematics
دوره 270 شماره
صفحات -
تاریخ انتشار 2003