Quasi-perfect codes in the l(p) metric
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2018
Autores
Strapasson, Joao E.
Jorge, Grasiele C. [UNIFESP]
Campello, Antonio
Costa, Sueli I. R.
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Resumo
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.
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Computational & Applied Mathematics. Heidelberg, v. 37, n. 2, p. 852-866, 2018.