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基于整數同態加密的定點數密態計算方案

Fixed-Point Privacy-Preserving Computation Scheme on Integer

  • 摘要: 本文針對實數類型敏感數據在現實多方應用中的隱私性需求,提出了一種采用整數同態加密實現定點數密態計算的方案。該方案通過數域轉換將有符號定點表示的實數類型數據映射為整數,進而利用多方整數全同態對轉換后的整數進行密態計算。更重要的是,為解決定點數密態計算中的小數點漂移問題,給出了隨機小數位生成算法和小數位截斷算法,并提供了正確性證明與分析。對于個參與者,本方案的通信復雜性和計算復雜性均不受小數位長影響,因而同Catrina等人方案的和相比,性能不會隨小數位長的增加而降低。實驗驗證也表明本方案具有更高的效率和更好的實用性。

     

    Abstract: This paper focuses on the privacy requirements of sensitive real-number data in practical multi-party applications, and proposes a scheme for fixed-point privacy-preserving computation using integer homomorphic encryption. The scheme maps real-number data in signed fixed-point representation to integers through domain translation, and then performs privacy-preserving computation on the translated integers using multi-party fully homomorphic encryption over integer. More importantly, to address the issue of decimal point drift in fixed-point privacy-preserving computation, this paper presents a random decimal digit generation algorithm and a decimal digit truncation algorithm, along with proofs and analyses of their correctness. For n participants, the communication complexity O(n^2) and computational complexity O(n^3) of this scheme are unaffected by the decimal place length γ. Therefore, compared to the scheme by Catrina et al., which has complexities of O(n^2γ) and O(n^3γ), the performance of this scheme does not degrade with increasing decimal place length. Experimental validation also demonstrates that this scheme has higher efficiency and better practicality.

     

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