The invention relates to a tyre comprising a radial carcass structure having a breaker structure formed from at least two working breaker layers (41, 43), the carcass structure itself is provided with a tread connected to two beads by means of two flanks, and the apex structure comprises at least one layer of peripheral reinforcement elements (42). According to the invention, the elements for reinforcing the layer (42) of peripheral reinforcing elements are strand ropes with a reduction of the maximum tangent module between their initial state and extracts of the tyre higher than 15 GPa, preferably higher than 20 GPa.