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Lattice-Based Cryptosystems: A Design Perspective (in English)
Jiang Zhang
(Author)
·
Zhenfeng Zhang
(Author)
·
Springer
· Paperback
Lattice-Based Cryptosystems: A Design Perspective (in English) - Zhang, Jiang ; Zhang, Zhenfeng
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Synopsis "Lattice-Based Cryptosystems: A Design Perspective (in English)"
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 5.1 Definition 5.2 ABE supporting and-gate policy 5.3 ABE supporting flexible threshold policy 5.4 Functional encryption 6. Key Exchanges 6.1 Definition 6.2 Key exchange against passive attacks 6.3 Implicit authenticated key exchange 6.4 Password-based authenticate key exchange 7. Digital signatures 7.1 Definition 7.2 Signatures in the random oracle model 7.3 Short signatures with tight security 7.4 Group signatures
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