A method forms an implant with a base body made of a biocorrodible magnesium alloy. The methods make magnesium alloy that contains a plurality of statistically distributed particles, with one or more of the elements Y, Zr, Mn, Sc, Fe, Ni, Co, W, Pt and noble earths with the atomic numbers 57 to 71, or the particles comprise alloys or compounds containing one or more of the elements mentioned. The mean distance of the particles from each other is smaller than the hundredfold mean particle diameter.
