New constructions of covering codes (Q5931257)

Covering codes and their constructions and a general survey of covering problems are considered in [\textit{G. D. Cohen}, \textit{I. S. Honkala}, \textit{S. N. Litsyn} and \textit{A. C. Lobstein}, Covering Codes. North-Holland Math. Library. Vol. 54. Amsterdam: Elsevier (1997; Zbl 0874.94001)]. The author proposes new constructions for linear and nonlinear codes and gives one known construction. New covering codes and infinite code families are obtaining using the construction described. The parameters obtained are better than those of known codes. The new linear codes imply net upper bounds on the length function. The author gives a table of these bounds.