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相关概念视频

Scalar Notation01:28

Scalar Notation

783
Scalar notation is a useful method for simplifying calculations involving vectors. When vectors are added or subtracted, their components can be added or subtracted separately using scalar notation. For instance, force, a vector quantity, can be broken down into its x and y components, called rectangular components, and then the magnitude and direction of these components can be determined using trigonometric functions.
Consider a man pulling a rope from a hook in the northeast direction. The...
783
Couples: Scalar and Vector Formulation01:21

Couples: Scalar and Vector Formulation

307
One might wonder how the captain of a large ship can navigate through the ocean with just a turn of the steering wheel. The answer lies in the concept of two parallel forces that are equal in magnitude and opposite sense, creating a couple moment.
A couple moment is a rotational force that tends to rotate the steering wheel. The wheel's rotation can either be in a clockwise or anticlockwise direction. The right-hand rule is a helpful method for determining the direction of a couple moment....
307
Singularity Functions for Shear01:26

Singularity Functions for Shear

195
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
195
Bulk Modulus01:21

Bulk Modulus

394
The bulk modulus is a scientific term used to describe a material's resistance to uniform compression. It is the proportionality constant that links a change in pressure to the resulting relative volume change.
394
Cartesian Vector Notation01:28

Cartesian Vector Notation

962
Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations such as determining the gradient, divergence, and curl, and expressing physical quantities such as the displacement, velocity, acceleration, and force. By using Cartesian vector notation, engineers can more easily analyze and solve problems in various areas of mechanical engineering, including dynamics, kinematics, and fluid mechanics. This...
962
Cartesian Form for Vector Formulation01:26

Cartesian Form for Vector Formulation

736
The Cartesian form for vector formulation is a process to calculate  the moment of force using the position and force vectors. The moment of force is defined as the cross-product of these vectors, making it a vector quantity. The Cartesian form of the position and force vectors involves unit vectors, which can be used to express the cross-product in determinant form.
736

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相关实验视频

Updated: Sep 11, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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基于修改后的LWE结构的标量整数上的后量子公钥符号加密方案.

Mostefa Kara1, Mohammad Hammoudeh2, Abdullah Alamri3

  • 1Interdisciplinary Research Center for Intelligent Secure Systems, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia.

Sensors (Basel, Switzerland)
|August 14, 2025
PubMed
概括
此摘要是机器生成的。

本研究引入了一种使用简单标量整数的新后量子公钥加密和签名 (PQES) 方案. 这种高效的方法为资源有限的设备提供了针对量子攻击的增强安全.

关键词:
这就是为什么LWE LWE LWE加密系统加密系统.轻轻的物联网物联网物联网在后量子时代的后量子时代.标尺整数是一个标尺整数.标志 加密 符号 加密 符号

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Last Updated: Sep 11, 2025

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科学领域:

  • 密码学 密码学 密码学 密码学
  • 计算机科学 计算机科学
  • 信息安全 信息安全

背景情况:

  • 当前的后量子密码学经常将加密和数字签名分开,增加了复杂性.
  • 现有的符号加密方案通常使用复杂的数学结构,如格子或多项式.
  • 越来越需要高效和可实施的量子抗性加密解决方案.

研究的目的:

  • 提出一个新的后量子公钥加密和签名 (PQES) 方案.
  • 为提高简单性和效率,开发一种仅基于标量整数运算的方案.
  • 在受约束的设备上增强量子抗性加密的可实现性.

主要方法:

  • 开发了一个PQES方案,使用标量整数模块为密钥,加密文本和操作.
  • 将修改后的错误学习 (LWE) 假设调整为标量设置.
  • 评估安全性和性能,包括加密和解除加密的时间.

主要成果:

  • 拟议的PQES方案完全运行在标数整数上,减少计算和内存的开销.
  • 实现了0.0007s的信号加密时间和0.0011s的无信号加密时间.
  • 展示了强大的安全特性,可以抵抗量子攻击.

结论:

  • 新的基于标量整数的PQES方案在效率和量子阻力之间提供了实际的平衡.
  • 简化结构提高了在资源有限的设备上实现的可能性.
  • 这种方法为复杂的基于格子或基于环的后量子加密方案提供了可行的替代方案.