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Verifiable (t, n) threshold signature scheme based on elliptic curve

Wang Hua-qun, Zhao Jun-xi, Lijun Zhang

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Abstract

Based on the difficulty of solving the ECDLP (elliptic curve discrete logarithm problem) on the finite field, we present a (t, n) threshold signature scheme and a verifible key agreement scheme without trusted party. Applying a modified clliptic curve signature equation, we get a more efficient signature scheme than the existing ECDSA (elliptic curve digital signature algorithm) from the computability and security view. Our scheme has a shorter key, faster computation, and better security. Based on the difficulty of solving the ECDLP (elliptic curve discre logarithm problem) on the finite field, we present a (t, n) threshold signature scheme and a verifiable key agreement scheme without trusted party. Applying a modified clliptic curve signature equation, we get a more efficient signature scheme than the existing ECDSA (elliptic curve digital signature algorithm) form the computability and security view. Our scheme has a shorter key, faster computation, and better security.

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What this paper is about

Based on the difficulty of solving the ECDLP (elliptic curve discrete logarithm problem) on the finite field, we present a (t, n) threshold signature scheme and a verifible key agreement scheme without trusted party. Applying a modified clliptic curve signature equation, we get a more efficient signature scheme than the existing ECDSA (elliptic curve digital signature algorithm) from the computability and security view. Our scheme has a shorter key, faster computation, and better security. Based on the difficulty of solving the ECDLP (elliptic curve discre logarithm problem) on the finite field, we present a (t, n) threshold signature scheme and a verifiable key agreement scheme without trusted party. Applying a modified clliptic curve signature equation, we get a more efficient signature scheme than the existing ECDSA (elliptic curve digital signature algorithm) form the computability and security view. Our scheme has a shorter key, faster computation, and better security.

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Available abstract

Based on the difficulty of solving the ECDLP (elliptic curve discrete logarithm problem) on the finite field, we present a (t, n) threshold signature scheme and a verifible key agreement scheme without trusted party. Applying a modified clliptic curve signature equation, we get a more efficient signature scheme than the existing ECDSA (elliptic curve digital signature algorithm) from the computability and security view. Our scheme has a shorter key, faster computation, and better security. Based on the difficulty of solving the ECDLP (elliptic curve discre logarithm problem) on the finite field, we present a (t, n) threshold signature scheme and a verifiable key agreement scheme without trusted party. Applying a modified clliptic curve signature equation, we get a more efficient signature scheme than the existing ECDSA (elliptic curve digital signature algorithm) form the computability and security view. Our scheme has a shorter key, faster computation, and better security.

Key concepts: Elliptic Curve Digital Signature Algorithm, ElGamal signature scheme, Schnorr signature, Elliptic curve, Merkle signature scheme, Discrete logarithm, Elliptic curve point multiplication, Digital signature

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