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When analyzing a beam subjected to various loads, it is crucial to understand the internal forces and moments generated within the structure. These internal forces can be broadly classified into normal forces, shear forces, and bending moments. To determine these forces and moments, we use the method of sections and apply a specific sign convention based on their direction and the side of the section being analyzed.
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Multi-party co-signature scheme based on SM2.

Liang Tan1, Xinglin Shang1, Liping Zou1

  • 1College of Computer Science, Sichuan Normal University, Chengdu, Sichuan, China.

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Summary
This summary is machine-generated.

This study introduces a flexible and secure multi-party collaborative signature scheme based on the SM2 digital signature algorithm, enhancing mobile security for financial transactions. The new scheme overcomes limitations of two-party systems, offering improved trustworthiness and broader applicability.

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Area of Science:

  • Cryptography
  • Information Security
  • Applied Mathematics

Background:

  • Two-party collaborative signature schemes are crucial for mobile financial security but suffer from inflexibility, trust issues, and limited application scope.
  • Existing schemes are vulnerable to private key compromise, enabling fraudulent signatures.
  • The inability to support multi-device collaboration hinders widespread adoption.

Purpose of the Study:

  • To design a novel multi-party collaborative signature scheme addressing the shortcomings of existing two-party systems.
  • To enhance security, flexibility, and trustworthiness in collaborative digital signatures for mobile devices.
  • To enable collaborative signing across multiple devices, expanding application scenarios.

Main Methods:

  • Development of a multi-party collaborative signature scheme utilizing the SM2 Elliptic Curve Public Key Cryptography standard (GM/T003-2012).
  • Interactive generation of a group public key and valid signatures among multiple participants (more than two).
  • Implementation of the scheme using the GMP library for performance evaluation.

Main Results:

  • The proposed scheme demonstrates enhanced flexibility and security compared to traditional two-party methods.
  • It effectively supports multi-device collaborative signing scenarios, increasing trustworthiness.
  • Experimental results show comparable signature construction times and minimal differences in verification time versus the original SM2 signature.

Conclusions:

  • The new multi-party collaborative signature scheme offers a more robust and versatile solution for secure mobile transactions.
  • It successfully overcomes the limitations of two-party schemes, providing a secure and flexible alternative.
  • The scheme is well-suited for applications requiring collaborative digital signatures across multiple devices.