A Provably Secure Short Threshold Proxy Signature Scheme

2013-09-20
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Using the Lagrange interpolation formula and proxy certificates, a short threshold proxy signature scheme is given. In the scheme, the original signer delegates his signature right to n proxy signers, and only when more than k (k≤n) proxy signers (among the n proxy signers) cooperate can a valid short proxy signature be generated. The scheme has the following characteristics: verifiability, threshold proxy, strong unforgeability, strong distinguishability, strong non-repudiation and resistance to abuse of proxy rights. Since it is based on short signatures, the scheme can be used in low-bandwidth and low-storage environments. Keywords. Signature, digital signature, short signature, proxy signature, threshold In the proxy signature scheme [1-3], the original signer delegates his signature right to a proxy signer, and the proxy signer signs on behalf of the original signer. Short signature schemes and short proxy signature schemes can be used in low-bandwidth and low-storage environments [4-6]. However, in some cases, people want to use thresholds to implement proxy signature rights. For example, a manager is away on a business trip or traveling, He hopes that his signature right (a very important signature right) can be delegated to n proxy signers, and only when more than k (k≤n) of these n proxy signers cooperate can a valid proxy signature be generated. This paper first proposes a new short proxy signature scheme, and then proposes a short threshold proxy signature scheme based on this scheme. Our short threshold proxy signature scheme has the following characteristics: (1) Verifiability, that is, anyone can verify the validity of the proxy signature; (2) Threshold proxy, that is, only when more than k (k≤n) members of the n proxy signers designated by the original signer cooperate can a valid proxy signature be generated; (3) Strong unforgeability, that is, it is difficult to forge a specific proxy signature, even if the original signer and any t (t

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A Provably Secure Short Threshold Proxy Signature Scheme

Document Introduction