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Paper detail

Construction of Additive Reed-Muller Codes

The well known Plotkin construction is, in the current paper, generalized and used to yield new families of Z2Z4-additive codes, whose length, dimension as well as minimum distance are studied. These new constructions enable us to obtain families of Z2Z4-additive codes such that, under the Gray map, the corresponding binary codes have the same parameters and properties as the usual binary linear Reed-Muller codes. Moreover, the first family is the usual binary linear Reed-Muller family.

preprint2011arXivOpen access
J. PujolJ. RifàL. Ronquillo
math.ITInformation Theory
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J. PujolJ. RifàL. Ronquillo

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