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We describe recent results for codes over Z2 ×Z4 giving their connection to binary codes via a natural Gray map. We study Z2Z4 self-dual codes and we state the major results concerning these codes. We state several open questions and discuss possible avenues of research.
Quaternary ZRM(r,m) codes were defined so that their binary images, via Gray map, are Reed-Muller codes for some specific values of . In the literature, two different definitions of such codes can be found. They will be denoted ZRM(r,m) and ZRM-(r,m) codes. In this correspondence, we show that both definitions are equivalent exactly for those values of r such that their binary images are Reed-Muller...
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