The Weight Enumerator of GRM codes

The distribution of weight enumerator gives the new idea to contract the information about the code for finding the error probability of a code. In this paper, we have extended the result of the weight enumerator of GRM codes [3]. The weight enumerator of GRM codes for order (m - 3) , m ³ 3,r ³ 0 has been developed and analyzed.

NEW CONSTRUCTION OF GRM CODES

In this paper we study a new class of generalized Reed–Muller (GRM) codes with respect to a new construction that involves multiple GRM codes. We have proved that the resultant codes are also GRM codes.