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Mathematical Modelling for Next-Generation Cryptography [2017]

1
Introduction to CREST Crypto-Math Project
17
Multivariate Public Key Cryptosystems
43
Code-Based Zero-Knowledge Protocols and Their Applications
63
Hash Functions Based on Ramanujan Graphs
81
Pairings on Hyperelliptic Curves with Considering Recent Progress on the NFS Algorithms
97
Efficient Algorithms for Isogeny Sequences and Their Cryptographic Applications
117
Spectral Degeneracies in the Asymmetric Quantum Rabi Model
139
Spectra of Group-Subgroup Pair Graphs
159
Ramanujan Cayley Graphs of the Generalized Quaternion Groups and the Hardy–Littlewood Conjecture
177
Uniform Random Number Generation and Secret Key Agreement for General Sources by Using Sparse Matrices
199
Mathematical Approach for Recovering Secret Key from Its Noisy Version
221
Simple Analysis of Key Recovery Attack Against LWE
239
A Mixed Integer Quadratic Formulation for the Shortest Vector Problem
257
On Analysis of Recovering Short Generator Problems via Upper and Lower Bounds of Dirichlet <Emphasis Type="Italic">L</Emphasis>-Functions: Part 1
279
On Analysis of Recovering Short Generator Problems via Upper and Lower Bounds of Dirichlet <Emphasis Type="Italic">L</Emphasis>-functions: Part 2
297
Recent Progress on Coppersmith’s Lattice-Based Method: A Survey
315
How to Strengthen the Security of Signature Schemes in the Leakage Models: A Survey
331
Constructions for the IND-CCA1 Secure Fully Homomorphic Encryption
349
A Survey on Identity-Based Encryption from Lattices
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