Based on ElGamal system, a threshold signature scheme characterized by (k, l) joint verification for (t, n) signature is put forward. After being signed by a signer company employing (t, n) threshold signature scheme, the information m is transmitted to a particular verifier company, and then the signature is verified through the cooperation of k ones from the verifier company with l members, so as to realize a directional transmission between different companies. The security of this scheme is based on Shamir threshold scheme and ElGamal system, and the scheme enjoys the characteristics of reduced communication load and lowered calculation complexity, etc.
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