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Minimal linear codes have significant applications in secret sharing schemesand secure two-party computation. There are several methods to construct linearcodes, one of which is based on functions over finite fields. Recently, manyconstruction methods of linear codes based on functions have been proposed inthe literature. In this paper, we generalize the recent construction methodsgiven by Tang et al. in [IEEE Transactions on Information Theory, 62(3),1166-1176, 2016] to weakly regular plateaued functions over finite fields ofodd characteristic. We first construct three weight linear codes from weaklyregular plateaued functions based on the second generic construction anddetermine their weight distributions. We next give a subcode with two or threeweights of each constructed code as well as its parameter. We finally show thatthe constructed codes in this paper are minimal, which confirms that the secretsharing schemes based on their dual codes have the nice access structures.

Several classes of minimal linear codes with few weights from weakly regular plateaued functions