A tire comprising at least one reinforcement structure of the carcass type anchored on either side of the tire in a bead, the base of which bead is intended to be mounted on a rim seat, the reinforcement structure extending circumferentially from the bead towards the sidewall, at least one arrangement of main cords along a substantially circumferential path being arranged substantially adjacent to the structure, the arrangement of the cords of the at least one arrangement being such that the number of main cords arranged on the axially inner side relative to the structure is greater than the number of main cords arranged on the axially outer side relative to the structure.