Abstract
We study one weight \(\mathbb {Z}_2\mathbb {Z}_4\) additive codes. It is shown that the image of an equidistant \(\mathbb {Z}_2\mathbb {Z}_4\) code is a binary equidistant code and that the image of a one weight \(\mathbb {Z}_2\mathbb {Z}_4\) additive code, with nontrivial binary part, is a linear binary one weight code. The structure and possible weights for all one weight \(\mathbb {Z}_2\mathbb {Z}_4\) additive codes are described. Additionally, a lower bound for the minimum distance of dual codes of one weight additive codes is obtained.
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The second author thanks the Department of Mathematics, University of Scranton for their hospitality and support, where he stayed from December 2013 to February 2014. The second author was supported by NSFC through Grant No. 11171370.
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Dougherty, S.T., Liu, H. & Yu, L. One weight \(\mathbb {Z}_2\mathbb {Z}_4\) additive codes. AAECC 27, 123–138 (2016). https://doi.org/10.1007/s00200-015-0273-4
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DOI: https://doi.org/10.1007/s00200-015-0273-4