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A Hybrid-Based Verifiable Secret Sharing Scheme Using Chinese Remainder Theorem

机译:基于中国剩余定理的基于混合的可验证秘密共享方案

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摘要

It is not always in the best interests to rely on an individual to have control of entire sensitive information. This has led to theneed for secret sharing schemes, which divide secret (key) among many participants or shareholders. To avoid any cheating byany of the shareholders, the need for verifiable secret sharing (VSS) has emerged. In this context, a hybrid approach for VSSscheme is suggested in this paper. The proposed algorithm shares multiple secrets among shareholders, where shareholdersare also divided/classified into different levels. Hence, it includes multiple as well as multilevel secret sharing. Secrets can berecovered at intra- or inter-level, where shareholders of higher level can contribute their shares to lower levels. To reduce thecomplexity, the one-way hash function is used instead of the hard number-theoretic problems. The proposed scheme standsagainst the dishonest dealer and shareholders. To rule out a typical dishonest strategy of leaking secret information in thevalid shares, the concept of dealer leakage resilience is used by reducing the dealer’s powers of selecting random values onhis own. The execution is also done using cryptographic libraries. Finally, it is demonstrated that the scheme satisfies thesecurity requirements of VSS.
机译:依靠个人控制整个敏感信息并不总是最大的利益。这导致需要秘密共享计划,该计划将秘密(密钥)分配给许多参与者或股东。为了避免任何股东的欺骗,出现了可验证的秘密共享(VSS)的需求。在这种情况下,本文提出了一种VSS方案的混合方法。所提出的算法在股东之间共享多个秘密,其中股东也被分为不同的级别。因此,它包括多个以及多个级别的秘密共享。可以在内部或内部级别恢复秘密,其中较高级别的股东可以将其股份贡献给较低级别​​。为了降低复杂度,使用单向哈希函数代替硬数字理论问题。拟议的计划与不诚实的交易商和股东抗衡。为了排除典型的不诚实策略,即在有效份额中泄露机密信息,通过减少交易者自行选择随机值的能力来使用交易者泄漏弹性的概念。执行还使用加密库完成。最后,证明了该方案满足VSS的安全要求。

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