Splitting the shadow
SCIE
SCOPUS
- Title
- Splitting the shadow
- Authors
- Bonnecaze, A; Choie, Y; Dougherty, ST; Sole, P
- Date Issued
- 2003-08-28
- Publisher
- ELSEVIER SCIENCE BV
- 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.
- Keywords
- Jacobi forms; unimodular lattices; self-dual codes; shadows; II CODES; LATTICES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/18380
- DOI
- 10.1016/S0012-365X(02)00865-8
- ISSN
- 0012-365X
- Article Type
- Article
- Citation
- DISCRETE MATHEMATICS, vol. 270, no. 1-3, page. 43 - 60, 2003-08-28
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