The class of quaternary Reed-Muller codes is introduced as a generalization of Reed-Muller codes to ℤ4-1inear codes. Properties of this class of codes are established including the rank and kernel of the Gray map image of codes in this class. The class includes all ℤ4-linear Kerdock-like and Preparata-like codes. © 2005 IEEE.
|Journal||IEEE Transactions on Information Theory|
|Publication status||Published - 1 Jul 2005|
- Quaternary Reed-Muller (QRM)
- Quaternary codes