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A collaborative secret sharing scheme based on the Chinese Remainder Theorem.

Xing Xing Jia1, Yi Xuan Song1, Dao Shun Wang2

  • 1School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China.

Mathematical Biosciences and Engineering : MBE
|April 6, 2019
PubMed
Summary

This study introduces an efficient collaborative secret sharing (CSS) scheme for multi-privilege users in group collaborations. The novel approach enhances security and efficiency in distributed cloud environments by assigning single shares to multi-privilege participants.

Keywords:
Chinese Remainder Theoremcollaborative secret sharinggroup collaborationsecret sharing

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Area of Science:

  • Computer Science
  • Cryptography
  • Information Security

Background:

  • Secret sharing (SS) is crucial for group key management in cloud computing and distributed storage.
  • Traditional SS schemes struggle with multi-privilege participants who require access to multiple schemes.
  • Assigning multiple shares to these participants is bandwidth-inefficient.

Purpose of the Study:

  • To propose an efficient collaborative secret sharing (CSS) scheme for multi-privilege participants in group collaborations.
  • To address the bandwidth inefficiency of traditional methods for handling participants with multiple privileges.
  • To enable secure and efficient group collaboration in distributed systems.

Main Methods:

  • Developed a CSS scheme by rearranging multi-privilege participants across multiple SS schemes.
  • Formulated the scheme into independent SS schemes with multi-privilege shares to prevent information leakage.
  • Utilized the Chinese Remainder Theorem for scheme construction, ensuring lower recovery complexity.

Main Results:

  • The proposed CSS scheme allows multi-privilege participants to hold only one share, improving bandwidth efficiency.
  • The scheme achieves asymptotically perfect security, formally proven.
  • Experimental results show efficiency in group collaboration and computational advantages over existing methods.

Conclusions:

  • The novel CSS scheme effectively supports multi-privilege participants in group collaborations.
  • It offers significant improvements in security, efficiency, and computational performance for cloud environments.
  • This scheme provides a sophisticated mechanism for advanced secret sharing applications.