On One-Weight and ACD Codes in Z(2)(r) x Z(4)(s) x Z(8)(t)

FILOMAT(2021)

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摘要
In this paper, one-weight and additive complementary dual (ACD) codes in Z(2)(r) x Z(4)(s) x Z(8)(t) are studied. Firstly, it is shown that the image of an equidistant Z(2)Z(4)Z(8)-additive code is a binary equidistant code. Then, some properties of the structure and possible weights for one-weight Z(2)Z(4)Z(8)-additive codes are described. Finally, it is given the sufficient conditions for a Z(2)Z(4)Z(8)-additive code to be ACD.
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关键词
One-weight additive codes, Z(2)Z(4)Z(8)-additive codes, Complementary dual codes, Gray map
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