Abstract
Two infinite families of \(\mathbb {Z}_4\)-codes with two nonzero Lee weights are constructed by their generator matrices. Their Gray images are nonlinear with the same weight distribution as that of the two-weight binary codes of type SU1 in the sense of (Calderbank, Kantor, 1986).
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Acknowledgements
The authors thank Denis Krotov for helpful discussions. This research is supported by the National Natural Science Foundation of China (61672036), the Excellent Youth Foundation of Natural Science Foundation of Anhui Province (1808085J20), the Academic Fund for Outstanding Talents in Universities (gxbjZD03).
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Shi, M., Xuan, W. & Solé, P. Two families of two-weight codes over \(\mathbb {Z}_4\). Des. Codes Cryptogr. 88, 2493–2505 (2020). https://doi.org/10.1007/s10623-020-00796-x
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DOI: https://doi.org/10.1007/s10623-020-00796-x