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Dynamical systems over finite fields with application to interleaver design and the classification of perfect LEE codes

Grant number: 14/04096-5
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): May 01, 2014
Effective date (End): October 31, 2014
Field of knowledge:Engineering - Electrical Engineering - Telecommunications
Principal researcher:Sueli Irene Rodrigues Costa
Grantee:Claudio Michael Qureshi Valdez
Supervisor abroad: Daniel Panario
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Research place: Carleton University, Canada  
Associated to the scholarship:12/10600-2 - Finite Fields - Application to Coding and Cryptography, BP.DR

Abstract

This project is focuses on application of finite fields in Coding theory and cryptography.More specifically, the application of dinamical system techniques to interleaver design and perfect codes in the Lee metric. In the last topic, the purpose is to extend previous results as the ones in the paper "Classification of two-dimensional perfect Lee code" joint work with Sueli Costa, presented in the XXXI Brazilian Symposium of telecommunications, 2013. (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)
QURESHI, CLAUDIO; PANARIO, DANIEL. REDEI ACTIONS ON FINITE FIELDS AND MULTIPLICATION MAP IN CYCLIC GROUP. SIAM JOURNAL ON DISCRETE MATHEMATICS, v. 29, n. 3, p. 1486-1503, 2015. Web of Science Citations: 4.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.