A secret sharing scheme generates shares of a secret for a set of participants such that any authorized set can reconstruct the secret, and shares of an unauthorized subset of participants do not leak any information about the secret. A recent line of research, motivated by leakage of shares in real-life implementation of secret sharing, is security against a powerful adversary that can receive leakage information about all shares. Srinivasan-Vasudevan in Crypto’19 and Kumar-Meka-Sahai in FOCS’19 proposed two models of leakage, static and adaptive leakage for secret sharing schemes, respectively, and proposed compilers that convert traditional secret sharing schemes into leakage-resilient ones. In this chapter we revisit these leakage functions for general access structures.

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Secret Sharing Schemes for General Access Structures with Leakage Resilience

  • Sabyasachi Dutta

摘要

A secret sharing scheme generates shares of a secret for a set of participants such that any authorized set can reconstruct the secret, and shares of an unauthorized subset of participants do not leak any information about the secret. A recent line of research, motivated by leakage of shares in real-life implementation of secret sharing, is security against a powerful adversary that can receive leakage information about all shares. Srinivasan-Vasudevan in Crypto’19 and Kumar-Meka-Sahai in FOCS’19 proposed two models of leakage, static and adaptive leakage for secret sharing schemes, respectively, and proposed compilers that convert traditional secret sharing schemes into leakage-resilient ones. In this chapter we revisit these leakage functions for general access structures.