New Lattice-Based Public-Key Cryptosystem

IITSI '10 Proceedings of the 2010 Third International Symposium on Intelligent Information Technology and Security Informatics(2010)

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摘要
Because of the advantages of lattice related problems as opposed to factoring and discrete problems, lattice based cryptographic applications are deserved to research and construct. We first introduce preliminaries of lattice, some related basic problems and Gaussian measures on lattice. Then we reviewed a collection of trapdoor functions based on Short Integer Solution problem and specified by Gentry etc. in STOC 2008. Finally we construct a new lattice-based public key cryptosystem using the trapdoor functions collection.
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关键词
lattice,lattice-based public-key cryptosystem,gaussian measure,trapdoor functions collection,short integer solution problem,trapdoor functions,cryptographic application,trapdoor function collection,lattice-based public key cryptosystem,discrete problem,related basic problem,public key cryptography,new lattice-based public-key cryptosystem,trapdoor function,application software,gaussian distribution,intersymbol interference,quantum computing,lattices,construction industry,information technology,information security,intelligent networks,informatics,resists
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