Method for transmitting successive messages forming a frame intended to be implemented by a telecommunications system with M sources ( S 1 , ..., S M ) , possibly L relays ( R 1 ,..., R L ) and a destination ( D ) , M ≥ 2, L ≥ 0 according to an orthogonal multiple access scheme of the transmission channel between the nodes taken from among the M sources and the L relays with a maximum number of M + T max time slots per transmitted frame including M slots allocated, during a first phase, to the successive transmission of the M sources, and at most T max slots for one or more cooperative transmissions allocated, during a second phase, to one or more nodes selected according to a selection strategy, 1 ≤ T max , the nodes operating in half-duplex mode, the method comprising: - decoding, by at least one node ( S 1 ,...,S M , R 1 ,...,R L ) , of messages transmitted by the sources with detection of errors on the messages in order to determine a set of source messages correctly decoded by this node, - decoding, by the destination ( D ), of messages from a node ( S 1, ...,S m , R 1 , ..., R L ) with detection of errors on the messages in order to determine a set of source messages correctly decoded by the destination, the method furthermore comprising, for a time slot t of the second phase: - transmission, from the destination ( D ) to the nodes ( S 1 ,...,S M , R 1 ,..., R L ), of a control message indicating its set ( S D,t -1 ) of correctly decoded source messages, - determination, by at least one node ( S 1 ,...,S M , R 1 ,..., R L ), whether at least one message from its set of correctly decoded source messages does not belong to the set of source messages correctly decoded by the destination, the method being characterized in that it comprises: - transmission of a binary indicator by the at least one node ( S 1 ,...,S M , R 1 ,..., R L ) to the destination ( D ) indicating the result of the determination, - broadcast, by the destination ( D ), of a decision to select one of the nodes ( S 1 ,...,S M , R 1 ,...,R L ) authorized to transmit during the transmission slot t . - decoding, by at least one node ( S 1 ,...,S M , R 1 ,...,R L ) , of messages transmitted by the sources with detection of errors on the messages in order to determine a set of source messages correctly decoded by this node, - decoding, by the destination ( D ), of messages from a node ( S 1, ...,S m , R 1 , ..., R L ) with detection of errors on the messages in order to determine a set of source messages correctly decoded by the destination, - transmission, from the destination ( D ) to the nodes ( S 1 ,...,S M , R 1 ,..., R L ), of a control message indicating its set ( S D,t -1 ) of correctly decoded source messages, - determination, by at least one node ( S 1 ,...,S M , R 1 ,..., R L ), whether at least one message from its set of correctly decoded source messages does not belong to the set of source messages correctly decoded by the destination, the method being characterized in that it comprises: - transmission of a binary indicator by the at least one node ( S 1 ,...,S M , R 1 ,..., R L ) to the destination ( D ) indicating the result of the determination, - broadcast, by the destination ( D ), of a decision to select one of the nodes ( S 1 ,...,S M , R 1 ,...,R L ) authorized to transmit during the transmission slot t . <EOS>