Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Accuracy, limits, and approximation01:28

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...
545
Second Uniqueness Theorem01:16

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...
1.1K
Routh-Hurwitz Criterion II01:19

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...
411
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

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 Numbers01:16

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...
215
Chebyshev's Theorem to Interpret Standard Deviation01:15

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

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Pan-TRK expression and NTRK gene aberrations in meningiomas: association with tumor grade and proliferative activity.

The journal of pathology. Clinical research·2026
Same author

Cpumycins A-C, Aminated Benzoic Dimers from <i>Streptomyces</i> sp. CPU-W6, and Their Potential Cardioprotective Activities.

Journal of natural products·2026
Same author

Restoring cartilage-subchondral bone metabolism with biphasic magnesium microspheres ameliorate early osteoarthritis.

Bioactive materials·2026
Same author

Synergistic Modulation of MOF-Derived Cu-Doped Mn<sub>3</sub>O<sub>4</sub> over Porous Al<sub>2</sub>O<sub>3</sub> Ceramics: Toward High-Performance Toluene Catalytic Oxidation.

Langmuir : the ACS journal of surfaces and colloids·2026
Same author

3-Hydroxypyrimidine-2,4-dione derivatives as monkeypox virus resolvase (Mpr) inhibitors.

RSC medicinal chemistry·2026
Same author

Case Report of Gouty Arthritis Complicated by Septic Arthritis.

Journal of visualized experiments : JoVE·2026
Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026
Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026
Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026
Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026
Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026
Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026
See all related articles

Related Experiment Video

Updated: Sep 13, 2025

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.2K

ApproximateSecret Sharing in Field of Real Numbers.

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
PubMed
Summary
This summary is machine-generated.

This study introduces an optimized Shamir's Secret Sharing (SSS) algorithm for real numbers, enhancing data security in big data applications. The new method improves precision and security for various number types, including floating-point data.

Keywords:
Shamir’s polynomialcommon real numbersentropylosslesssecret sharingtype code

More Related Videos

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

8.6K
The Optical Fractionator Technique to Estimate Cell Numbers in a Rat Model of Electroconvulsive Therapy
07:55

The Optical Fractionator Technique to Estimate Cell Numbers in a Rat Model of Electroconvulsive Therapy

Published on: July 9, 2017

11.8K

Related Experiment Videos

Last Updated: Sep 13, 2025

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.2K
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

8.6K
The Optical Fractionator Technique to Estimate Cell Numbers in a Rat Model of Electroconvulsive Therapy
07:55

The Optical Fractionator Technique to Estimate Cell Numbers in a Rat Model of Electroconvulsive Therapy

Published on: July 9, 2017

11.8K

Area of Science:

  • Cryptography and Information Security
  • Big Data Analytics
  • Numerical Analysis

Background:

  • Traditional Shamir's Secret Sharing (SSS) is limited in handling floating-point and high-precision real numbers.
  • Big data necessitates robust encryption for sensitive financial and medical information.
  • Existing methods struggle with the complexities of real-number domains in secret sharing.

Purpose of the Study:

  • To propose an optimized Shamir's Secret Sharing (SSS) algorithm for real numbers.
  • To address the limitations of traditional SSS in floating-point and high-precision scenarios.
  • To enhance the security and precision of secret sharing for diverse real-number types.

Main Methods:

  • Developed a type-specific coding algorithm for categorizing real numbers (rational, special irrational, common irrational, general irrational).
  • Implemented lossless transmission for rational and some irrational numbers, and low-loss recovery for general irrationals.
  • Integrated a type-coding system into polynomial coefficients and employed Bernoulli-distributed random bit injection for enhanced security.

Main Results:

  • The proposed algorithm achieves lossless transmission for rational, special irrational, and common irrational numbers.
  • Low-loss recovery is demonstrated for general irrationals, maintaining data integrity.
  • Experimental validation confirms the algorithm's effectiveness in balancing precision and security across different real-number types.

Conclusions:

  • The novel SSS optimization effectively handles real numbers, overcoming limitations of traditional integer-based schemes.
  • This approach offers a more versatile and secure solution for big data encryption in critical applications.
  • The type-specific coding and random bit injection provide a robust framework for real-number secret sharing.