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Lecture notes in computer science

Forward Secure Lattice-Based Ring Signature Scheme in the Standard Model

Xiaoling Yu, Yuntao Wang

Published Jan 1, 2023• 2 citations
Publisher
DOI
10.1007/978-981-99-7356-9_9

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In the forward secure sequential aggregate (FssAgg) signature scheme, the signer combines signatures generated in different intervals under different secret keys incrementally and sequentially in a layered “onion-like” fashion with the first signature innermost in the aggregate. In contrast with general (not forward-secure) aggregate signature schemes which aggregate signatures from multiple signers, a FssAgg signature scheme aggregates signatures of a single signer not the signatures of different signers, so the verifier uses a single public key to verify the entire aggregate. With the advantages of forward secure signature and the aggregate signature at the same time, the FssAgg signature scheme has been widely applied in logging systems and blockchain since it was proposed in 2007. Although there have been several FssAgg signature schemes, all of them are based on the classic number theory problem, which are no longer secure in the quantum era. So looking for the quantum-immune FssAgg signature is much urgent. Based on the small integer solution over lattice, a FssAgg signature in the standard model is proposed. In order to improve the efficiency, this paper uses the fixed-dimensional lattice basis delegation technique to update the keys, and the forward security is achieved. This paper uses the message addition technique and the pre-image sampling technique to embed the message and the small integer solution into the signature process, and the existentially unforgeability of the scheme is also guranteed in the standard model.

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Lattice-based strongly-unforgeable forward-secure identity-based signature scheme with flexible key update

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KSII Transactions on Internet and Information Systems•May 31, 2017•4 citations
Identity-based ring signature is the combination of the identity-based cryptography and ring signature.It can be used in many practical applications.Most of the existing identity-based ring signatures are based the bilinear pairing assumption.How ever,bilinear pairing problem is no longer hard in the quantum era.To construct an identity-based ring signature securing in the quantum era,in this paper,we presented an identity-based ring signature scheme based on lattices.The scheme is secure in the standard model.The security of scheme is based on the standard small integer solution(SIS) assumption.Compared with other identity-based ring signature schemes from lattices in the standard model,our scheme enjoys higher efficiency.
In the forward secure sequential aggregate (FssAgg) signature scheme, the signer combines signatures generated in different intervals under different secret keys incrementally and sequentially in a layered “onion-like” fashion with the first signature innermost in the aggregate. In contrast with general (not forward-secure) aggregate signature schemes which aggregate signatures from multiple signers, a FssAgg signature scheme aggregates signatures of a single signer not the signatures of different signers, so the verifier uses a single public key to verify the entire aggregate. With the advantages of forward secure signature and the aggregate signature at the same time, the FssAgg signature scheme has been widely applied in logging systems and blockchain since it was proposed in 2007. Although there have been several FssAgg signature schemes, all of them are based on the classic number theory problem, which are no longer secure in the quantum era. So looking for the quantum-immune FssAgg signature is much urgent. Based on the small integer solution over lattice, a FssAgg signature in the standard model is proposed. In order to improve the efficiency, this paper uses the fixed-dimensional lattice basis delegation technique to update the keys, and the forward security is achieved. This paper uses the message addition technique and the pre-image sampling technique to embed the message and the small integer solution into the signature process, and the existentially unforgeability of the scheme is also guranteed in the standard model.