| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, IMECC, Dept Appl Math, BR-13083859 Campinas, SP - Brazil
[2] Univ Estadual Campinas, FCA, Sch Appl Sci, BR-13484350 Limeira, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COMPUTATIONAL & APPLIED MATHEMATICS; v. 32, n. 1, p. 57-69, APR 2013. |
| Web of Science Citations: | 2 |
| Abstract | |
In this paper we study sequences of lattices which are, up to similarity, projections of Z(n+1) onto hyperplanes nu(perpendicular to) for nu is an element of Z(n+1). We show a sufficient condition to construct sequences converging at rate O(1/parallel to nu parallel to(2/n)) to integer lattices and exhibit explicit constructions for some important families of lattices. The problem addressed here arises from a question of communication theory. (AU) | |
| FAPESP's process: | 09/18337-6 - Lattices and codes: perspectives in cryptography |
| Grantee: | Antonio Carlos de Andrade Campello Junior |
| Support Opportunities: | Scholarships in Brazil - Doctorate (Direct) |
| FAPESP's process: | 11/01096-6 - Discrete mathematics: lattices, codes and cryptography |
| Grantee: | João Eloir Strapasson |
| Support Opportunities: | Regular Research Grants |