Block for dry construction

A construction system for dry assembly of a wall, comprising:

• a parallelepiped-shaped construction block composed of concrete, the block having:
• two opposite main faces;
• an upper face;
• a lower face;
• and
• a first lateral face opposite a second lateral face;
• the upper and lower faces and the lateral faces each having, respectively, complementary reliefs that are able to interlock when several of the blocks are juxtaposed to form the wall;
• and
• one or more discrete levelling layers coextensively positioned on at least one of the upper face and the lower face, the one or more levelling layers have a thickness being at least one of greater than 5 mm (0.196 inch) and less than 40 mm (1.575 inch) and are composed of an injection-molded mortar having a Young's modulus less than 4000 MPa (0.58 106 pounds per square inch) and a compressive strength less than 6 MPa (870 pounds per square inch),
• wherein the one or more levelling layers extend along an entire length of the block and are located thereon prior to said dry assembly of the wall.