arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1906.03043cs.CRcs.ITmath.IT
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一种Fuzzy-Fuzzy保险库方案

A Fuzzy-Fuzzy Vault Scheme

Khaled Ahmed Nagaty

摘要:

本文提出了一种增强的模糊保险库方案,我们称之为模糊-模糊保险库方案。该方案建立在经典的模糊保险库,通过增加不确定性和不精确的概念,经典的计划。为了将秘密密钥K锁定在经典模糊保险库中,锁定和解锁元件是脆的或真实的元件,因此锁定和解锁操作是严格必要的。在fuzzy-fuzzy保险库方案中,Alice利用属于多模糊集A~的一组模糊元素来锁定秘密密钥K,该多模糊集A~是从多模糊集F~ q中模糊元素的论域公共集并将它们投影到多项式p上得到的。多模糊集F~ q和A~中的元素是模糊的,使用m个隶属函数MF_i,i= 1,2,…,M. Alice从A~中选择具有特定隶属函数MF_K的模糊元素的集合k来锁定金库。为了隐藏真正的锁定点,Alice生成了一组模糊干扰点,其中一些模糊干扰点不位于多项式p上,而其他模糊干扰点可能位于多项式p上,但具有不同于用于锁定金库的隶属函数MF_K的不同隶属函数。为了解锁模糊-模糊保险库并取回秘密密钥K,Bob应该具有属于多模糊集合B~的解锁模糊元素的集合,其需要与A~基本上重叠。然后Bob从B~中选择t '_(TF_ki)个模糊元素,这些模糊元素与Alice用于锁定保险库的A~中的t_(TF_k)个模糊元素接近。我们表明,通过引入模糊理论,增加不确定性和不精确性将提高模糊保险库的安全阈值。

英文摘要:

In this paper an enhanced fuzzy vault scheme is proposed which we refer to as fuzzy-fuzzy vault scheme. The proposed scheme builds on the classical fuzzy vault by adding the concept of uncertainty and imprecision to the classical scheme. To lock a secret key K in the classical fuzzy vault the locking and unlocking elements are crisp or real elements and consequently the locking and unlocking operations are strict imperative. In the fuzzy-fuzzy vault scheme, Alice locks the secret key K using a set of fuzzy elements that belong to multi-fuzzy set A~ obtained from a universe public set of fuzzy elements in a multi-fuzzy set F~_q and projecting them on polynomial p. The elements in multi-fuzzy sets F~_q and A~ are fuzzy using m membership functions MF_i, i=1,2,...,m. Alice selects a set k of fuzzy elements fuzzy with a specific membership function MF_K from A~ to lock the vault. To hide the genuine locking points Alice generates a set of fuzzy chaff points that some of them do not lie on polynomial p while the other fuzzy chaff points may lie on polynomial p but fuzzy with different membership functions other than the membership function MF_K used to lock the vault. To unlock the fuzzy-fuzzy vault and retrieve the secret key K , Bob should have a set of unlocking fuzzy elements belonging to multi-fuzzy set B~ which substantially overlap with A~ is required. Then Bob selects t'_(TF_ki) fuzzy elements from B~ which are close to the t_(TF_k) fuzzy elements from A~ used by Alice to lock the vault. We show that adding uncertainty and imprecision by introducing fuzzy theory will enhance the security threshold of the fuzzy vault.

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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