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一般接入结构下强安全的Ramp秘密共享方案

Strongly secure ramp secret sharing schemes for general access structures

Mitsugu Iwamoto, Hirosuke Yamamoto

摘要:

斜坡秘密共享方案可分为强斜坡秘密共享方案和弱斜坡秘密共享方案。强斜坡SS方案不会显式地泄漏秘密的任何部分,即使在关于秘密的一些信息从非限定的份额集合泄漏的情况下,因此,它们比弱斜坡SS方案更可取。然而,它是不知道如何构建强斜坡SS计划的情况下,一般的访问结构。在本文中,它表明,一个强斜坡SS方案总是可以构造从SS方案与多个秘密的任何可行的一般访问结构。作为一个副产品,它指出,阈值斜坡SS方案基于Shamir的多项式插值方法是{ \em不}总是强的。

英文摘要:

Ramp secret sharing (SS) schemes can be classified into strong ramp SS schemes and weak ramp SS schemes. The strong ramp SS schemes do not leak out any part of a secret explicitly even in the case where some information about the secret leaks from a non-qualified set of shares, and hence, they are more desirable than weak ramp SS schemes. However, it is not known how to construct the strong ramp SS schemes in the case of general access structures. In this paper, it is shown that a strong ramp SS scheme can always be constructed from a SS scheme with plural secrets for any feasible general access structure. As a byproduct, it is pointed out that threshold ramp SS schemes based on Shamir's polynomial interpolation method are {\em not} always strong.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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