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Title:	基於同態加密的相等性驗證之通用架構設計 Generic Construction on Equality Test Based on Homomorphic Encryptions
Authors:	周為涵 Chou, Wei-Han
Contributors:	左瑞麟周為涵 Chou, Wei-Han
Keywords:	同態加密秘密計算相等性驗證
Date:	2018
Issue Date:	2019-02-12 16:00:16 (UTC+8)
Abstract:	雙方相等性驗證是指在不洩漏任何自身私密資訊的情況下，進行秘密計算來了解彼此的資訊是否相等。然而在大多數現有協議中，多數為不公平的協定，也就是說其中的一方(被告知方)只能相信另一方(告知方)所告知的比較結果而無從驗證。雖然已有學者提出了一些可以雙方驗證的提案機制，但是這些協議或因加密演算法限制導致實作困難，或因必須使用指定加密演算法限制導致協定彈性較低。因此，在本論文中，將提出一套新的雙方相等性驗證的協議，具備相同的雙方相等性驗證的功能，但對加密演算法限制較低，適用於所有可多次進行同態運算的加法同態加密演算法或乘法同態加密演算法，實作及運算也較為有效率。提出協議後，再以理論證明協議的安全性及正確性，並提出該協議的相關應用，最後分析協議的時間複雜度及討論其效能。 Two-party equality testing protocol allows two entities to compare their secrete information without leaking any information except the comparison result. In previous works the comparison result can only be obtained by one entity (ie. informer) and then the entity informs the result to the other entity ( ie. receiver). The receiver has to accept the received result since he has no way to verify its correctness. Although some scholars have proposed some proposal mechanisms that can be verified by both parties, Those protocols may be difficult to implement due to limitations of the encryption algorithm, or the contract flexibility may be low due to the necessity of using the specified encryption algorithm. Therefore, in this thesis,we propose a new two-party equality testing protocol. Our protocol has the same function of mutual equality verification, but has lower restrictions on the encryption algorithm and is applicable to almost all Addition homomorphic encryption algorithm or multiplicative homomorphic encryption algorithm. It is also more efficient in implementation and operation. After the agreement is proposed, the security and correctness of the protocol are proved by theory, and the related applications of the protocol are proposed. Finally, the time complexity of the protocol is analyzed and its performance is discussed.
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Description:	碩士國立政治大學資訊科學系碩士在職專班 104971004
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0104971004
Data Type:	thesis
DOI:	10.6814/THE.NCCU.EMCS.001.2019.B02
Appears in Collections:	[Executive Master Program of Computer Science of NCCU] Theses

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