An aircraft tire inflated to high pressure and including a tread and a crown reinforcement in the form of composite textile cables which form at least one twin ply of two layers of crossed elements obtained by winding, in a zigzag around a cylindrical support and from one edge of the crown reinforcement to the other, a strip of at least one reinforcement until the two layers of crossed elements form angles of opposing directions of between 8° and 30° with the circumferential direction.