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Lattice-Based Cryptosystems
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491_9789811584268

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1 Introduction                 1.1 Cryptography based on number theory problems                 1.2 Post-quantum cryptography                 1.3 Lattice-based cryptosystems 2. Lattices                 2.1 Definition                 2.2 Discrete Gaussian                 2.3 Small Integer Solutions                 2.4 Learning with Errors                 2.5 Trapdoor Generation 3. Public-key encryption                 3.1 Definition                 3.2 PKE against CPA attacks                 3.2 Achieving CCA-Security in the random oracle model                 3.3 CCA-secure PKE in the standard model 4. Identity-based encryption                 4.1 Definition                 4.2 The GPV IBE scheme                 4.3 Short IBE in the standard model 5. Attribute-based encryption           &nbs
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