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In this study, linear codes having their Lee-weight distributions over the semi-local ring Fₐ+uFₐ with u^2=1 are constructed using the defining set and Gauss sums for an odd prime q. Moreover, we derive complete Hamming-weight enumerators for the images of the constructed linear codes under the Gray map. We finally show an application to secret sharing schemes.
Kumar et al. (Wed,) studied this question.