关键词: 秘密共享, 门限方案, RSA密码体制, Hash函数

Abstract: Based on the security of RSA (Rivest-Shamir-Adleman) cryptosystem and Hash function, a threshold multi-secret sharing scheme with different weights was proposed. In the scheme, each participant can share many secrets with other participants by holding only one secret shadow. Each participants secret shadow is selected and saved by himself and even the secret dealer does not know anything about it. In the recovery phase, participant only needs to submit a pseudo-shadow instead of his secret shadow. The scheme does not require a secure channel between each participant and the dealer, and can guarantee secure delivery and verify authenticity of information. Analyses show that the scheme is more secure and feasible than the existing ones.

Key words: secret sharing, threshold scheme, Rivest-Shamir-Adleman (RSA) cryptosystem, Hash function