New class of double inductive binary error correcting codes based on the class of Reed-Muller codes

A new class of binary codes is introduced. The codes have length n=1.5.2^m (m>or=3), and have a similar ´double inductive´ structure to that possessed by the class of Reed-Muller (RM) codes. The new codes are structured such that their length-to-distance ratio n/d=2^m, m>or=2. For rates less than 1/2, the new codes have a higher rate than the next Reed-Muller code of the same order and length n=2.2^m.