In today’s digital era, blockchain, big data, cloud computing and other information technologies are booming, providing a powerful impetus for the rapid progress of human society. At the same time, the importance of information security is particularly prominent, and we hope that some important data can be protected in a proper way. This paper introduces the related concepts of two information security technologies, secret sharing technology and homomorphic encryption, as well as the basic content of Paillier encryption system, and proposes a secret sharing scheme based on Paillier algorithm for the special threshold structure of (n, n) in secret sharing. Paillier algorithm is a homomorphic encryption algorithm with good ecology and is extremely popular at present. In our scheme, it is applied to secret sharing, so that the secret sharing group has a high comprehensive computational efficiency in the cases of distributing secrets, recovering secrets, and dynamically changing threshold value.

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A Variable (n, n) Threshold Secret Sharing Scheme Based on Paillier Cryptosystem

  • Yujie Shen,
  • Hongliang Cai,
  • Jincheng Zhou,
  • Lei Su,
  • Dan Tang

摘要

In today’s digital era, blockchain, big data, cloud computing and other information technologies are booming, providing a powerful impetus for the rapid progress of human society. At the same time, the importance of information security is particularly prominent, and we hope that some important data can be protected in a proper way. This paper introduces the related concepts of two information security technologies, secret sharing technology and homomorphic encryption, as well as the basic content of Paillier encryption system, and proposes a secret sharing scheme based on Paillier algorithm for the special threshold structure of (n, n) in secret sharing. Paillier algorithm is a homomorphic encryption algorithm with good ecology and is extremely popular at present. In our scheme, it is applied to secret sharing, so that the secret sharing group has a high comprehensive computational efficiency in the cases of distributing secrets, recovering secrets, and dynamically changing threshold value.