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, 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.