A phase-change memory includes a strip of phase-change material that is coated with a conductive strip and surrounded by an insulator. The strip of phase-change material has a lower face in contact with tips of a resistive element. A connection network composed of several levels of metallization coupled with one another by conducting vias is provided above the conductive strip. At least one element of a lower level of the metallization is in direct contact with the upper surface of the conductive strip.