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Chinese Physics B

Multi-proxy quantum group signature scheme with threshold shared verification

Yu‐Guang Yang

Published Feb 1, 2008• 55 citations
Publisher

Abstract

A multi-proxy quantum group signature scheme with threshold shared verification is proposed. An original signer may authorize a proxy group as his proxy agent. Then only the cooperation of all the signers in the proxy group can generate the proxy signature on behalf of the original signer. In the scheme, any t or more of n receivers can verify the message and any t – 1 or fewer receivers cannot verify the validity of the proxy signature.

DOI
10.1088/1674-1056/17/2/011

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A multi-proxy quantum group signature scheme with threshold shared verification is proposed. An original signer may authorize a proxy group as his proxy agent. Then only the cooperation of all the signers in the proxy group can generate the proxy signature on behalf of the original signer. In the scheme, any t or more of n receivers can verify the message and any t – 1 or fewer receivers cannot verify the validity of the proxy signature.
With the development of science and technology and the appearance of various special conditions that cause signers to be unable to sign, proxy signature is gradually becoming a hot spot in cryptography research. This paper combines proxy signature, quantum teleportation, and multi-party verification and proposes a multi-party verifiable quantum proxy signature scheme based on quantum teleportation. This scheme has the following characteristics: The authentication method based on the Hash function can effectively solve the problem of identity identification among members; in order for the proxy signer to be able to verify the correctness of the proxy authorization, a form of proxy signature authorization that concatenates the identity information of the original signer is used. The security analysis shows that our scheme is unforgeable and undeniable and can resist intercept-resend attacks and cheating attacks.
Abstract When the original signer is unable to sign and the proxy signer does not know the information content, proxy blind signature comes into being and becomes a hot topic in cryptography research. This paper combines the methods of proxy blind signature, controlled quantum teleportation and multi-party verification, and proposes a multi-party verifiable quantum proxy blind signature scheme based on controlled quantum teleportation. This scheme has the following features: using a Hash function shared by all participants for authentication can effectively solve the problem of identity identification among members; in order to facilitate the original signer to ensure the security of proxy authorization, the quantum proxy signature authorization form is used to generate quantum states with mutual unbiased fundamental particles. The security analysis shows that the scheme is unforgeable and undeniable, and can resist intercept-forgery attack and collusive attack.
In a proxy signature scheme, an original signer delegates his/her signing capability to a proxy signer and then the proxy signer can sign messages on behalf of the original signer. The security of many proxy signature schemes that have been proposed depends, either directly or indirectly, on either the difficulty of big integers factoring problem or the difficulty of finding discrete logarithm in a finite group. These types of schemes cannot resist quantum attacks. In this paper, we propose a new lattice-based proxy signature scheme which can resist quantum attacks. The proposed scheme is based on the GGH-signature scheme and also satisfies all the security requirements of proxy signature schemes.
In this study, we propose the semiquantum group proxy blind signature scheme, in which the signature verifier and some proxy signers only possess limited quantum capabilities. On the basis that the original message content of the original message owner is blind to the original signer, the signature verifier, the proxy signature group and the trusted third party helping complete the signing process, this scheme can accomplish the goal of the original singer authorizing the proxy signature group to sign this original message. This scheme is proved to have unforgeability, non-repudiation, complete blindness and security. Since the signature verifier and some proxy signers only possess limited quantum capabilities, compared with many existing quantum group proxy blind signature protocols, this scheme has a wider range of signature application scenarios.
Proxy signature is a special signature which provided the signer can delegate his signing capability to others.The proxy signature provides that the original signer can delegate his signing permission to a proxy signer, and the proxy signer can replace the original signer to sign the message.In this paper, we propose a proxy signature scheme based on ideas from classical proxy signature schemes and quantum cryptography.The scheme is implemented by Bell states and a symmetrical quantum key cryptosystem.Compile with classical proxy signature schemes, the new scheme can guarantee the security by using quantum key distribution and one-time pads.And it also can prove that the scheme have the characteristics of non-counterfeit, non-disavowal and traceability.Furthermore, the new scheme uses a special quantum encryption to ensure the receiver cannot forge the signature.The validity of the new scheme can be verified, and it is a secure proxy signature scheme.
A quantum proxy signature scheme makes the proxy signer can generate a quantum signature on behalf of the original signer. Although many quantum proxy signature schemes have been proposed, none of them can be formally proved to be secure. There is not even security model for the quantum proxy signatures. Some quantum proxy signature schemes have been proved to be insecure against forgery attacks. In this paper, first, the formal definition and the corresponding security model for the quantum proxy signatures are proposed. Second, based on the Hadamard operator and the controlled NOT operation, a new quantum proxy signature scheme is proposed. The security of our quantum proxy signature scheme can be formally proved under security model. The security model of the quantum proxy signatures is helpful for analyzing and improving the security of the quantum proxy signature schemes. On the other hand, compared with the other quantum proxy signatures, the new one proposed in this paper is the first that can be formally proved to be secure under security model.