论文标题
通用理论密码学的秘密共享
Secret Sharing for Generic Theoretic Cryptography
论文作者
论文摘要
在一群参与者之间有效地分享秘密并不容易,因为总是有一个对手 /窃听者试图检索秘密。在秘密共享计划中,每个参与者都有独特的份额。当所需的一组参与者聚集在一起并提供他们的股份时,将获得秘密。对于其他股票组合,返回垃圾价值。 Shamir和Blakley独立提出了一个门槛秘密共享计划。在此(n,t)阈值秘密共享计划中,当至少n个参与者贡献其股份时,可以获得秘密。本文提出了一种新颖的算法,以揭示属于访问结构的参与者子集的秘密。该计划实施了完全普遍的理想秘密共享。与阈值秘密共享方案不同,该方案仅向参与者授权集的秘密揭示了秘密,而没有任何任意的基数用户超过或等于t。由于可以通过此方案实现任何访问结构,因此可以利用此方案来实施各种访问优先级和访问控制机制。与现有计划相比,该计划的主要优势是,分配给参与者的股票完全独立于共享的秘密。因此,对该计划没有任何限制,它在现实世界应用中发现了更广泛的用途。
Sharing a secret efficiently amongst a group of participants is not easy since there is always an adversary / eavesdropper trying to retrieve the secret. In secret sharing schemes, every participant is given a unique share. When the desired group of participants come together and provide their shares, the secret is obtained. For other combinations of shares, a garbage value is returned. A threshold secret sharing scheme was proposed by Shamir and Blakley independently. In this (n,t) threshold secret sharing scheme, the secret can be obtained when at least t out of n participants contribute their shares. This paper proposes a novel algorithm to reveal the secret only to the subsets of participants belonging to the access structure. This scheme implements totally generalized ideal secret sharing. Unlike threshold secret sharing schemes, this scheme reveals the secret only to the authorized sets of participants, not any arbitrary set of users with cardinality more than or equal to t. Since any access structure can be realized with this scheme, this scheme can be exploited to implement various access priorities and access control mechanisms. A major advantage of this scheme over the existing ones is that the shares being distributed to the participants is totally independent of the secret being shared. Hence, no restrictions are imposed on the scheme and it finds a wider use in real world applications.