| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, Inst Math Stat & Comp Sci, BR-13083859 Campinas, SP - Brazil
[2] Univ Estadual Campinas, Sch Appl Sci, BR-13484350 Limeira, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Linear Algebra and its Applications; v. 439, n. 9, p. 2577-2583, NOV 1 2013. |
| Web of Science Citations: | 1 |
| Abstract | |
In this paper we prove that given any two point lattices Lambda(1) subset of R-n and Lambda(2) subset of Rn-k, there is a set of k vectors [v(1), ..., v(k)) subset of Lambda(1) such that Lambda(2) is, up to similarity, arbitrarily close to the projection of Lambda(1) onto the orthogonal complement of the subspace spanned by [v(1), ..., v(k)]. This result extends the main theorem of Sloane et al. (2011) {[}1] and has applications in communication theory. (C) 2013 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 11/22044-4 - Lattices and codes: perspectives in cryptography |
| Grantee: | Antonio Carlos de Andrade Campello Junior |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |
| FAPESP's process: | 07/56052-8 - Teoria da informação e códigos |
| Grantee: | Sueli Irene Rodrigues Costa |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 11/01096-6 - Discrete mathematics: lattices, codes and cryptography |
| Grantee: | João Eloir Strapasson |
| Support Opportunities: | Regular Research Grants |