Splitting the shadow

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Splitting the shadow

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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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2003

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(02)00865-8