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- W4298066061 abstract "Linear codes with few weights have many applications in secret sharing schemes, authentication codes, communication and strongly regular graphs. In this paper, we consider linear codes with three weights in arbitrary characteristic. To do this, we generalize the recent contribution of Mesnager given in [Cryptography and Communications 9(1), 71-84, 2017]. We first present a new class of binary linear codes with three weights from plateaued Boolean functions and their weight distributions. We next introduce the notion of (weakly) regular plateaued functions in odd characteristic $p$ and give concrete examples of these functions. Moreover, we construct a new class of three-weight linear $p$-ary codes from weakly regular plateaued functions and determine their weight distributions. We finally analyse the constructed linear codes for secret sharing schemes." @default.
- W4298066061 created "2022-10-01" @default.
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- W4298066061 date "2017-03-24" @default.
- W4298066061 modified "2023-10-17" @default.
- W4298066061 title "A new class of three-weight linear codes from weakly regular plateaued functions" @default.
- W4298066061 doi "https://doi.org/10.48550/arxiv.1703.08362" @default.
- W4298066061 hasPublicationYear "2017" @default.
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