A method for access to a shared communication medium, referred to as the medium, access to the medium being of the “carrier sense multiple access” type, wherein an electronic device, in order to be able to send a message over the medium, the message including information representing a message type, waits for a backoff time before checking whether the medium is available to send the message, the backoff time being determined randomly and lying between a minimum backoff time and a maximum backoff time, wherein the maximum backoff time is dependent on the type of message to be sent over the medium by the electronic device.