Weight enumerator for poset metrics

• Grant number: 14/10745-6
• Support type: Research Grants - Visiting Researcher Grant - International
• Duration: August 02, 2015 - August 30, 2016
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal researcher: Marcelo Firer
• Grantee: Marcelo Firer
• Visiting researcher: Tuvi Etzion
• Visiting researcher institution: Technion - Israel Institute of Technology, Israel
• Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 13/25977-7 - Security and reliability of Information: theory and practice, AP.TEM

Abstract

Poset metrics where first introduced by Brualdi et al. in 1998, generalizing on the work of Niederreiter in 1995. Applications for these metrics, a generalization of the classical hamming metric, include: describing the noise process in a wireless fading system, its use for unequal error protection, applications for decoding in parallel wiretap channels. Computing invariants os such metrics may be a difficult task, even in situations that become trivial when considering the Hamming metric. The main goal of this project is to advance the knowledge about those invariants, specially the weight enumerator polynomial. (AU)

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)

ETZION, TUVI; FIRER, MARCELO; MACHADO, ROBERTO ASSIS. Metrics Based on Finite Directed Graphs and Coding Invariants. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 64, n. 4, 1, p. 2398-2409, APR 2018. Web of Science Citations: 2.