Quasi-perfect codes in the ℓp metric.

We introduce the notion of degree of imperfection of a code in Zn<inline-graphic></inline-graphic> with the ℓp<inline-graphic></inline-graphic> 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<inline-graphic></inline-graphic> and n=2,3<inline-graphic></inline-graphic>. Numerical results concerning the codes with small degree of imperfection are also presented. [ABSTRACT FROM AUTHOR]