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Splitting the shadow

Authors
  • Bonnecaze, A
  • Choie, Y
  • Dougherty, ST
  • Sole, P
Publication Date
Aug 28, 2003
Source
[email protected]
Keywords
License
Unknown
External links

Abstract

We derive formulae for the theta series of the two translates of the even sublattice L-0 of an odd unimodular lattice L that constitute the shadow of L. The proof rests on special evaluations of the Jacobi theta series attached to L 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. (C) 2003 Elsevier B.V. All rights reserved. / X / 1 / 1 / scie / scopus

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