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Hefei University

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Representative Papers

Asymptotically ideal Disjunctive Hierarchical Secret Sharing Scheme with an Explicit Construction

Mar 17, 2026

Existing disjunctive hierarchical secret sharing (DHSS) schemes struggle to simultaneously achieve small share size, computational security, and asymptotic ideality. This work proposes the first explicit construction that reconciles small share size with asymptotic ideality while maintaining computational security. The scheme leverages polynomial-based techniques, multilinear homogeneous recurrence relations, and one-way functions, ensuring that the dealer operates in polynomial time. By doing so, it significantly advances the trade-off between efficiency and security in DHSS, offering a practical and theoretically sound solution that improves upon prior approaches which typically sacrifice one of these critical properties.

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Asymptotically ideal Disjunctive Hierarchical Secret Sharing Scheme with an Explicit Construction

Mar 17, 2026

Existing disjunctive hierarchical secret sharing (DHSS) schemes struggle to simultaneously achieve small share size, computational security, and asymptotic ideality. This work proposes the first explicit construction that reconciles small share size with asymptotic ideality while maintaining computational security. The scheme leverages polynomial-based techniques, multilinear homogeneous recurrence relations, and one-way functions, ensuring that the dealer operates in polynomial time. By doing so, it significantly advances the trade-off between efficiency and security in DHSS, offering a practical and theoretically sound solution that improves upon prior approaches which typically sacrifice one of these critical properties.

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