An ElGamal_type(t,n)Threshold Digital Signature Scheme Based on ECC
Xian Zhang
Abstract
Xian Zhang
Abstract
This paper comprehensively introduces and analyzes Shamir Secret Sharing, Pedersen's Verifiable Secret Sharing based on ECC, verifiable secret sharing without a trusted center based on ECC and an ElGamal digital signature scheme based on ECC. Based on the theoretical introduction, an ElGamal.type(t, n) threshold digital signature scheme Based on ECC is designed. The performance of the scheme is analyzed. And an application based on the scheme is described. In the scheme, a trusted center to deal with the sharing secret is eliminated. No secret communication is required in the signature issuing phase. The scheme is characterized by excellent security as well as high efficiency.
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This paper comprehensively introduces and analyzes Shamir Secret Sharing, Pedersen's Verifiable Secret Sharing based on ECC, verifiable secret sharing without a trusted center based on ECC and an ElGamal digital signature scheme based on ECC. Based on the theoretical introduction, an ElGamal.type(t, n) threshold digital signature scheme Based on ECC is designed. The performance of the scheme is analyzed. And an application based on the scheme is described. In the scheme, a trusted center to deal with the sharing secret is eliminated. No secret communication is required in the signature issuing phase. The scheme is characterized by excellent security as well as high efficiency.
Key concepts: ElGamal encryption, Verifiable secret sharing, Computer science, ElGamal signature scheme, Secret sharing, Merkle signature scheme, Digital signature, Scheme (mathematics)