在实数领域的秘密共享
Jiaqi Wan1,2, Ziyue Wang1,2, Yongqiang Yu1,2
1College of Electronic Engineering, National University of Defense Technology, Hefei 230037, China.
Entropy (Basel, Switzerland)
|July 29, 2025
概括
本研究介绍了针对实数的优化Shamir's Secret Sharing (SSS) 算法,以提高大数据应用中的数据安全性. 新方法提高了各种数字类型的精度和安全性,包括浮点数据.
科学领域:
- 密码学和信息安全信息安全
- 大数据分析大数据分析
- 数字分析 数字分析
背景情况:
- 传统的Shamir的秘密共享 (SSS) 在处理浮点和高精度实数方面是有限的.
- 大数据需要对敏感的财务和医疗信息进行强大的加密.
- 现有的方法在秘密共享中与实数域的复杂性作斗争.
研究的目的:
- 为实数提出一个优化的Shamir的秘密共享 (SSS) 算法.
- 解决传统的SSS在浮点和高精度场景中的局限性.
- 为了提高各种实数类型的秘密共享的安全性和精度.
主要方法:
- 开发了一种特定类型的编码算法,用于对实数进行分类 (理数,特殊非理数,常见非理数,一般非理数).
- 实现了理数和一些非理数的无损传输,以及一般非理数的低损失恢复.
- 将类型编码系统集成到多项式系数中,并使用伯努利分布式随机位注入来增强安全性.
主要成果:
- 拟议的算法实现了对理数,特殊非理数和常见非理数的无损传输.
- 对于一般的非理性值,可以证明低损失恢复,保持数据完整性.
- 实验验证证证实了算法的有效性,在不同实数类型中平衡精度和安全性.
结论:
- 新的SSS优化有效地处理实数,克服了传统的基于整数的方案的局限性.
- 这种方法为关键应用程序中的大数据加密提供了更通用和安全的解决方案.
- 特定类型的编码和随机位注入为实数秘密共享提供了强大的框架.
更多相关视频
相关概念视频
Accuracy, limits, and approximation
545
Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
545
Second Uniqueness Theorem
1.1K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
1.1K
Routh-Hurwitz Criterion II
411
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
411
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
1.4K
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1 triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
1.4K
Vector Representation of Complex Numbers
215
Complex numbers, represented in Cartesian coordinates, can also be visualized as vectors. These vectors can be expressed in polar form, emphasizing their magnitude and angle. When a complex number is input into a function, the output is another complex number, highlighting the function's zero point from which the vector representation can originate.
Consider a function defined as the product of the complex factors in the numerator divided by the product of the complex factors in the...
Consider a function defined as the product of the complex factors in the numerator divided by the product of the complex factors in the...
215
Chebyshev's Theorem to Interpret Standard Deviation
4.5K
Chebyshev’s theorem, also known as Chebyshev’s Inequality, states that the proportion of values of a dataset for K standard deviation is calculated using the equation:
4.5K


