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Lattices and codes: perspectives in cryptography

Grant number: 11/22044-4
Support Opportunities:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): April 01, 2012
Effective date (End): March 31, 2014
Field of knowledge:Engineering - Electrical Engineering - Telecommunications
Principal Investigator:Sueli Irene Rodrigues Costa
Grantee:Antonio Carlos de Andrade Campello Junior
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated scholarship(s):12/09167-2 - Coding for continuous alphabet sources and information theoretic security, BE.EP.DD


Lattices constitute a rich structure of Discrete Geometry with various applications in Information Theory and Cryptography. In the following project, we present some notions related to lattices, exhibit some preliminaries results and point out the activities to be developed in this later part of the PhD. The topics of this project are related to FAPESP Thematic Project 2007/56052-8, whose principal investigator is Profa. Dr. Sueli Irene Rodrigures Costa (advisor), as well as the continuation of the thematic project to be submitted to FAPESP by the same research group. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
CAMPELLO, ANTONIO; STRAPASSON, JOAO; COSTA, SUELI I. R.. On projections of arbitrary lattices. Linear Algebra and its Applications, v. 439, n. 9, p. 2577-2583, . (11/22044-4, 11/01096-6)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
CAMPELLO JUNIOR, Antonio Carlos de Andrade. Lattices, projections, and applications to information theory. 2014. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.

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