The invention concerns a local network for the transfer of information among several communication devices connected to an alternating current electrical power distribution system with a pre-determined frequency, the information conveyed in the local network being transferred in the form of electrical signals forming waves in the electrical power distribution system in a frequency band higher than the pre-determined frequency, the electrical power distribution system being connected to an electrical power supply system, characterized in that the local network comprises at least one wave reflection device forming reflected waves in the power distribution system and attenuating the waves of the power distribution network in the electrical power supply system. The invention also concerns the reflection device.