Title :
Quaternary Reed-Muller codes
Author :
Borges, Joaquim ; Fernández, Cristina ; Phelps, Kevin T.
Author_Institution :
Comput. Sci. Dept., Autonomous Univ. of Barcelona, Spain
fDate :
7/1/2005 12:00:00 AM
Abstract :
The class of quaternary Reed-Muller codes is introduced as a generalization of Reed-Muller codes to Z4-linear 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.
Keywords :
Gray codes; Reed-Muller codes; linear codes; Gray map image coding; Kerdock-like code; Preparata-like code; linear code; quaternary Reed-Muller code; Additives; Binary codes; Block codes; Computer science; Kernel; Linear code; Vectors; Kernel; Reed–Muller; quaternary Reed–Muller (QRM); quaternary codes; rank;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.850148
