Abstract
In this paper, we show that a linear code \(\mathcal {C}\) of type \((\alpha , \beta ; \gamma , \delta ; \kappa )\) with \(\gamma \ne \kappa \) over \(\mathbb {Z}_2\mathbb {Z}_4\) generated by a matrix G is not an LCD code. When \(\gamma = \kappa \), we prove that the determinant of \(G_dG_d^\top \) is a multiple of 2 and later obtain condition on G for which C is LCD or not. Finally, we shown an application of LCD codes in cryptography.
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Bhowmick, S., Bagchi, S., Bandi, R. (2021). Linear Complementary Dual Codes Over \(\mathbb {Z}_2\mathbb {Z}_4\). In: Stănică, P., Gangopadhyay, S., Debnath, S.K. (eds) Security and Privacy. Lecture Notes in Electrical Engineering, vol 744. Springer, Singapore. https://doi.org/10.1007/978-981-33-6781-4_10
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DOI: https://doi.org/10.1007/978-981-33-6781-4_10
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