Secret Sharing Schemes from Linear Codes over F2+vF2+v2F2

Secret sharing is an important concept in cryptography, however it is a difficult problem to determine the access structure of the secret sharing scheme based on a linear code. In this work, we construct two‐weight linear codes over finite field by using linear codes over finite ring. We first study...

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Veröffentlicht in:Chinese Journal of Electronics 2021-09, Vol.30 (5), p.895-901
Hauptverfasser: Yaru, WANG, Fulin, LI, Shixin, ZHU
Format: Artikel
Sprache:eng
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Zusammenfassung:Secret sharing is an important concept in cryptography, however it is a difficult problem to determine the access structure of the secret sharing scheme based on a linear code. In this work, we construct two‐weight linear codes over finite field by using linear codes over finite ring. We first study MacDonald codes over the finite ring F2+vF2+v2F2 with v3=v. Then we give torsion codes of MacDonald codes of type α and β, which are two‐weight linear codes. Finally we give the access structures of secret sharing schemes based on the dual codes of the two‐weight codes.
ISSN:1022-4653
2075-5597
DOI:10.1049/cje.2021.06.012