Z_4 Reed-Muller Codes and Related Constructions,   Dr. Jaume Pujol,   Universidad Autónoma de Barcelona,  Mon, 0 February, 2010,   10:30 a.m. C-236


In last decade several Z_4-generalizations of Reed-Muller codes have been proposed. We review this generalizations and their properties. But this constructions do not meet all the properties of binary Reed-Muller codes. Using some kind of Plotkin constructions, we propose new families of Z_4 and Z_2Z_4-linear Reed-Muller codes that meet the fundamental properties of binary Reed-Muller codes.