Chinese Journal of Electronics · 2019 · 16 citations · 3 references
ComputingComputer ScienceCybersecurityCryptographyNumber TheoryQuantum ComputingComputational Number TheoryDigital SignaturesLattice-based CryptographyAggregate SignaturesCertificateless CryptographyCertificateless SignaturesCryptographic SignaturesNtru CryptosystemRandom Oracle ModelSignature Schemes
Having the advantages of certificateless signature and the aggregate signature at the same time, certificateless aggregate signature has been widely applied in e-business, e-government and software security since it was proposed in 2007. Although a number of certificateless aggregate signature schemes have been proposed, all of them are based on the classic number theory problem, which are no longer secure in the quantum era. In this paper, a certificateless sequential aggregate signature over number theory research unit lattice is proposed, which is proven to be secure in random oracle model. Moreover, we extend the new scheme into an efficient certificatebased sequential aggregate signature which is also secure in quantum era.
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Fully homomorphic encryption using ideal lattices
Craig Gentry · 2009 · 6.6K citations
On lattices, learning with errors, random linear codes, and cryptography
Oded Regev · 2005 · 2.2K citations
Generating hard instances of lattice problems (extended abstract)
Miklós Ajtai · 1996 · 1.3K citations · Full text