Device configured to process a multi-layered data stream into which a video material is coded at different layers, corresponding to different levels of information amount, using inter-layer prediction, the multi-layer data stream comprising a plurality of packets, each of which is associated with one of the different layers, each layer being indexed by a base layer ID or a base layer ID and an extension layer ID, wherein an absence of the extension layer ID for one of the packets is signaled in the data stream, the device configured to: read, from the multi-layered data stream, a first inter-dependency syntax structure indicating interdependencies between pairs of different base layer-IDs, and a second inter-dependency syntax structure indicating inter-dependencies between pairs of different extension layer-IDs, and construct, based on the first and second inter-dependency syntax structures, an inter-layer dependency description revealing possible inter-layer prediction dependencies between the different layers, wherein the first inter-dependency syntax structure defines interdependencies between different sets of layers, with all layers belonging to one set having the same base layer-ID, and the second inter-dependency structure defines interdependencies between layers in pairs of sets indicated as being interlinked by the first inter-dependency syntax structure, wherein the device is configured to read a plurality of instantiations of the second inter-dependency structure from the multi-layer data stream, namely for different pairs (j,k) of base layer IDs j and k with 0<k≤j≤n<N, with N being the number of values representable by the base layer-ID, by reading the second inter-dependency structure from the multi-layer data stream for pair (j,k) if the first inter-dependency syntax structure indicates a presence of interdependency between pair (j,k), and suppressing reading the second inter-dependency structure from the multi-layer data stream for pair (j,k) if the first inter-dependency syntax structure indicates a non-presence of interdependency between pair (j,k), wherein the instantiation of the second inter-dependency structure read for a pair (j,k) with j=k, indicates which layers among those having base layer-ID j are inter-layer prediction dependent on other layers among those having base layer-ID j, and the instantiation of the second inter-dependency structure read for pair (j,k), with k<j indicates which layers among those having base layer-ID j are inter-layer prediction dependent on layers among those having base layer-ID k. read, from the multi-layered data stream, a first inter-dependency syntax structure indicating interdependencies between pairs of different base layer-IDs, and a second inter-dependency syntax structure indicating inter-dependencies between pairs of different extension layer-IDs, and a first inter-dependency syntax structure indicating interdependencies between pairs of different base layer-IDs, and a second inter-dependency syntax structure indicating inter-dependencies between pairs of different extension layer-IDs, and construct, based on the first and second inter-dependency syntax structures, an inter-layer dependency description revealing possible inter-layer prediction dependencies between the different layers, wherein the first inter-dependency syntax structure defines interdependencies between different sets of layers, with all layers belonging to one set having the same base layer-ID, and the second inter-dependency structure defines interdependencies between layers in pairs of sets indicated as being interlinked by the first inter-dependency syntax structure, wherein the device is configured to read a plurality of instantiations of the second inter-dependency structure from the multi-layer data stream, namely for different pairs (j,k) of base layer IDs j and k with 0<k≤j≤n<N, with N being the number of values representable by the base layer-ID, by reading the second inter-dependency structure from the multi-layer data stream for pair (j,k) if the first inter-dependency syntax structure indicates a presence of interdependency between pair (j,k), and suppressing reading the second inter-dependency structure from the multi-layer data stream for pair (j,k) if the first inter-dependency syntax structure indicates a non-presence of interdependency between pair (j,k), reading the second inter-dependency structure from the multi-layer data stream for pair (j,k) if the first inter-dependency syntax structure indicates a presence of interdependency between pair (j,k), and suppressing reading the second inter-dependency structure from the multi-layer data stream for pair (j,k) if the first inter-dependency syntax structure indicates a non-presence of interdependency between pair (j,k), wherein the instantiation of the second inter-dependency structure read for a pair (j,k) with j=k, indicates which layers among those having base layer-ID j are inter-layer prediction dependent on other layers among those having base layer-ID j, and the instantiation of the second inter-dependency structure read for pair (j,k), with k<j indicates which layers among those having base layer-ID j are inter-layer prediction dependent on layers among those having base layer-ID k.