Quasi-perfect codes in the l(p) metric

Date
2018
Author
Strapasson, Joao E.
Jorge, Grasiele C. [UNIFESP]
Campello, Antonio
Costa, Sueli I. R.
Type
Artigo
ISSN
0101-8205
Is part of
Computational & Applied Mathematics
DOI
10.1007/s40314-016-0372-2
Metadata
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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.
Citation
Computational & Applied Mathematics. Heidelberg, v. 37, n. 2, p. 852-866, 2018.
Keywords
Tilings
Lattices
Quasi-perfect codes
l(p)metric
Sponsorship
FAPESP
CNPq
URI
https://repositorio.unifesp.br/handle/11600/55549
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