Quasi-perfect codes in the l(p) metric

Strapasson, Joao E.; Jorge, Grasiele C. [UNIFESP]; Campello, Antonio; Costa, Sueli I. R.

Quasi-perfect codes in the l(p) metric

Data

2018

Autores

Strapasson, Joao E.

Jorge, Grasiele C.

Campello, Antonio

Costa, Sueli I. R.

Tipo

Artigo

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.

Citação

Computational & Applied Mathematics. Heidelberg, v. 37, n. 2, p. 852-866, 2018.