A reinforcement cable is formed of an assembly of strands. Each strand is formed of two wires wound around each other in the same direction, with a constant pitch whose length is less than 300 mm. The two wires have linear contact with each other in the form of a helix. These helices have the same direction and the same constant pitch length. The assembly is formed of two strands of the same length of pitch and wound in opposite directions and/or it is formed of two to four strands such that the assembly has the same length of pitch and wound in the same direction as one strand and, with respect to another strand, a different length of pitch and/or wound in an opposite direction.