On constructions of Reed-Muller like codes and investigation of their properties

An antipodal code with parameters and main properties of the classical Reed-Muller code RM (r, m) is called a Reed-Muller like code of order r and denoted by LRM (r, m). The class of such codes contains large families of codes obtained by various constructions such as, in particular, linear and Z4-linear codes. In this survey we outline and analyze several constructions of Reed-Muller like codes. We also consider some properties of these codes.