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This paper points out that the capabilities of anti-time attack are worse and they can't keep forward-secure after leaking private key through the analysis of the forward-secure digital signature scheme based on factorization and discrete logarithm of finite field. A new forward security digital signature scheme based on elliptic cure is proposed in this paper. The security and forward-quality of this new scheme is analyzed in detail. Analysis shows that this scheme bears a strong security and forward-security.