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Quasi-perfect codes in the l(p) metric

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Author(s):
Strapasson, Joao E. ; Jorge, Grasiele C. ; Campello, Antonio ; Costa, Sueli I. R.
Total Authors: 4
Document type: Journal article
Source: COMPUTATIONAL & APPLIED MATHEMATICS; v. 37, n. 2, p. 15-pg., 2018-05-01.
Abstract

We introduce the notion of degree of imperfection of a code in Z(n) with the l(p) metric, to extend the so-called quasi-perfect codes. Through the establishment of bounds and computational approach, we determine all radii for which there are linear quasi-perfect codes for p = 2 and n = 2, 3. Numerical results concerning the codes with small degree of imperfection are also presented. (AU)

FAPESP's process: 14/20602-8 - Lattices and multiple user Information Theory
Grantee:Antonio Carlos de Andrade Campello Junior
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 15/17167-0 - Algebraic lattices via abelian number fields
Grantee:Grasiele Cristiane Jorge
Support Opportunities: Regular Research Grants
FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
Grantee:Marcelo Firer
Support Opportunities: Research Projects - Thematic Grants