A representation of a family of secret sharing matroids (Q1406875)

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scientific article; zbMATH DE number 1975924
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A representation of a family of secret sharing matroids
scientific article; zbMATH DE number 1975924

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    A representation of a family of secret sharing matroids (English)
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    7 September 2003
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    The paper follows the classification of matroids by \textit{S.-L. Ng} and \textit{M. Walker} [Des. Codes Cryptography 24, 49--67 (2001; Zbl 0986.94032)] by the number of strong connectivity classes. A matroid with one strong connectivity class is secret sharing since it arises from a threshold access structure. The main result of this paper is that all connected matroids with two uniform components are secret sharing matroids.
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    ideal secret sharing schemes
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    matroids
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    projective geometry
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