an implant having a base body comprised entirely or partially of a biocorrodible metallic material and in which at least the parts of the base body comprising the biocorrodible metallic material are covered entirely or partially with a coating which contains or is comprised of the polymer . at least 90 % of the total number of polymer units of the polymer comprise polymer units of formula and polymer units of formula wherein r1 is alkyl , hydroxyalkyl , alkoxyalkyl or cycloalkyl ; r2 is a silyl radical that is hydrolyzable in artificial plasma ; r3 is hydrogen or methyl , and n + m = 10 to 20 , 000 , such that the ratio of n to m is in the range of 1 : 9 to 9 : 1 .