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On Z4-linear Reed-Muller like codes

Faina I. Solov'eva
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Abstract

For each r, 0 <= r <= m, it is presented the class of quaternary linear codes LRM(r,m) whose images under the Gray map are binary codes with parameters of Reed-Muller RM(r,m) code of order r.

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Faina I. Solov'eva. 2005-12-04. On Z4-linear Reed-Muller like codes. https://arxiv.org/abs/math/0512051

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