Public-Key Cryptography - PKC 2024

Name: Public-Key Cryptography - PKC 2024 | 27th IACR International Conference on Practice and Theory of Public-Key Cryptography, Sydney, NSW, Australia, April 15-17, 2024, Proceedings, Part III
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27th IACR International Conference on Practice and Theory of Public-Key Cryptography, Sydney, NSW, Australia, April 15-17, 2024, Proceedings, Part III

Qiang Tang Vanessa Teague(Editor)

Springer (Publisher)

Published on 14. April 2024

XIV, 417 pages

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978-3-031-57725-3 (ISBN)

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Content

Intro
Preface
Organization
Contents - Part III
Theoretical Foundations
A Refined Hardness Estimation of LWE in Two-Step Mode
1 Introduction
2 Preliminaries
2.1 Notations and Basic Definitions
2.2 Lattice Hard Problems
2.3 Primal Attack
2.4 Core-SVP Model ch1ADPS16
2.5 PnjBKZ
2.6 Dimension for Free (d4f) Technique
2.7 Leaky-LWE-Estimator
2.8 PnjBKZ Simulator
3 Efficiency of Two-Step Solving Mode
4 A Refined Two-Step Security Estimator for Solving LWE
4.1 Two-Step LWE Estimator with Trivial Strategy
4.2 Two-Step LWE Estimator with Refined Strategy
5 Experiments on Verifying the Accuracy of Two-Step LWE Estimator
5.1 Verification Experiments for Success Probability
5.2 Verification Experiments for Efficiency of Two-Step Mode
5.3 The Comparison of Different Estimation Modes
6 Improved Conservative Estimation for LWE
6.1 Theoretical Lower-Bound Security Estimation of LWE Hardness
7 Two-Step Security Estimation of LWE in NIST Schemes
7.1 Security Upper Bound Estimation of LWE in NIST PQC Schemes
7.2 Lower Bound Estimation of LWE in NIST PQC Schemes
8 Conclusion
A Appendix. Two-Step LWE Estimator Based on Classical LWE Estimator
References
A Simpler and More Efficient Reduction of DLog to CDH for Abelian Group Actions*-8pt
1 Introduction*-2pt
1.1 Group Actions and Computational Problems
1.2 The Montgomery-Zhandry Approach
1.3 Technical Overview
2 Preliminaries
2.1 Cryptographic Group Actions
2.2 Computational Problems
2.3 Chernoff Bounds
3 The Main Reduction
3.1 Preparation
3.2 Estimating
3.3 Thresholding
3.4 Finding a Gap
3.5 Using the Fixed Set of Elements
3.6 Proof of Finding the Subgroup
3.7 Putting It All Together
3.8 Using the Subgroup
3.9 Extending to Non-regular Group Actions
References
R3PO: Reach-Restricted Reactive Program Obfuscation and Its Applications
1 Introduction
1.1 Our Contributions
1.2 Related Work
2 Technical Overview
2.1 Motivating Examples
2.2 Defining R3PO
2.3 R3PO Composition Theorem
2.4 R3PO Library
2.5 Applications: The Different Ways of Using R3PO
2.6 Private Multi-Authority ABE
2.7 Comparison of R3PO with Existing Primitives
3 The R3PO Framework
3.1 Reactive Programs and Generators
3.2 Reach Extractor
3.3 Reach-Restricted Reactive Program Obfuscation
4 A Composition Theorem for R3PO
4.1 Decomposition
4.2 Composition Theorem
5 Private Multi-Authority ABE
5.1 Definition for Private Multi-Authority ABE
5.2 Construction for Private Multi-Authority ABE
References
Selective Opening Security in the Quantum Random Oracle Model, Revisited
1 Introduction
1.1 Our Contributions
1.2 Technical Details
2 Preliminaries
2.1 Public-Key Encryption
2.2 Quantum Computation
3 Computational Adaptive Reprogramming in the QROM
4 Selective Opening Security of Fujisaki-Okamoto's PKE in the QROM
4.1 Selective Opening Security Against Chosen-Plaintext Attacks
4.2 Selective Opening Security Against Chosen-Ciphertext Attacks
5 Tight SO-CCA Security from Lossy Encryption
5.1 Construction
6 Bi-sO Security in the QROM
6.1 Bi-sO Security of TEXT
6.2 Bi-sO Security of TEXT
A Review of Adaptive One-Way-to-Hiding
References
On Algebraic Embedding for Unstructured Lattices
1 Introduction
1.1 This Work: General Lattices as Ideals
1.2 Technical Overview
2 Preliminaries
2.1 The Space H
2.2 Lattices
2.3 Lattices in Number Fields: Orders and Ideals
2.4 The LWE Problem
2.5 The Order LWE Problem
3 New Hardness Results for O-LWE
3.1 Worst-Case Hardness for All O-Ideals
3.2 Ring-LWE Hardness for Some Non OK-Ideal Lattices
4 Gradients of Hardness Between Ring-LWE and LWE
References
Isogenies and Applications
An Algorithm for Efficient Detection of (N,N)-Splittings and Its Application to the Isogeny Problem in Dimension 2
1 Introduction
2 Background
2.1 Superspecial Abelian Surfaces
2.2 The Superspecial Isogeny Graph
2.3 Attacking the General Isogeny Problem in Dimension 2
3 Optimised Product Finding in 2(2
p)
3.1 Taking a Step in 2(2
p)
3.2 Walking in the Superspecial Subgraph of 2(2
p)
4 Explicit Moduli Spaces for Genus 2 Curves with Split Jacobians
4.1 The Igusa-Clebsch Invariants of a Genus 2 Curve
4.2 Optimal Splittings of Jacobians of a Genus 2 Curves
4.3 The Surfaces tilde{L}N and {L}N
4.4 The Image of the Morphism LN to M2
5 Efficient Detection of (N,N)-Splittings
5.1 The Resultants of fj and fk
5.2 An Algorithm to Detect (N,N)-Split Jacobians
6 The Full Algorithm
6.1 SplitSearcher
6.2 Determining the Optimal Set N
6.3 A Bound on the Cost of the SplitSearcher Algorithm
7 Experimental Results
References
SCALLOP-HD: Group Action from 2-Dimensional Isogenies
1 Introduction
1.1 Contribution
2 Preliminaries
2.1 Quaternion Algebras, Supersingular Elliptic Curves, Isogenies and the Deuring Correspondence
2.2 Quadratic Orders and Orientations on Supersingular Elliptic Curves
2.3 New Isogeny Representation in Higher Dimensions
3 Group Action in Isogeny-Based Cryptography
4 2dim-Representation of Orientations and Endomorphisms
4.1 2dim-Representation
4.2 Computing a 2dim-Representation
4.3 Class Group Action Evaluation
5 SCALLOP-HD Group Action
5.1 Outline of SCALLOP-HD
5.2 Set Up the Group Action
5.3 Set Up a Starting Curve
5.4 Offline Phase
5.5 Online Phase
5.6 Implementation Results
6 Some Remarks on Security
7 Conclusion and Future Work
References
New Proof Systems and an OPRF from CSIDH
1 Introduction
2 Background
2.1 Isogeny-Based Cryptography
2.2 Zero-Knowledge Proofs
3 Towards Multiplication from Addition
3.1 Tuple Generation Functionality
3.2 Two-Party Multiplication Protocol
4 Zero-Knowledge Proof Systems
4.1 Languages and Security Assumptions
4.2 Addition and Scalar Multiplication
4.3 Multiplication with Trusted Setup
4.4 MPC-in-the-Head Protocols
4.5 New Signatures
5 An Oblivious Pseudo-random Function
5.1 Choosing the Polynomial
5.2 Adding Verifiability
5.3 Comparison to the Literature
5.4 Removing the Trusted Setup
References
Lattices and Applications
On Structure-Preserving Cryptography and Lattices
1 Introduction
1.1 Technical Overview
1.2 Roadmap
2 Preliminaries
2.1 Notation
2.2 Lattices
2.3 Cryptographic Primitives
3 Structure-Preserving Sets
4 Lattice-Based Structure-Preserving Signatures
4.1 SPS Instantiation
5 Lattice-Based Structure-Preserving Encryption
5.1 SPE Instantiation
6 -Protocol Constructions
7 Lattice-Based Structure-Preserving NIZK Arguments
8 Verifiably Encrypted Signatures (VES)
8.1 The VES Construction
8.2 Efficiency Considerations
References
Tagged Chameleon Hash from Lattices and Application to Redactable Blockchain
1 Introduction
1.1 Our Contributions
1.2 Related Works
1.3 Technique Overview
2 Preliminaries
2.1 Lattice Background
2.2 Computational Assumption
2.3 Pseudorandom Function
3 Tagged Chameleon Hash
4 Lattice-Based Tagged Chameleon Hash
4.1 tCH in the Standard Model
4.2 tCH with Tight Security in ROM
5 Application of tCH to the Redactable Blockchain
5.1 Redactable Blockchain
5.2 Redacting Blocks
5.3 Security Analysis
References
Diffie Hellman and Applications
Laconic Branching Programs from the Diffie-Hellman Assumption
1 Introduction
1.1 Our Results
2 Technical Overview
3 Preliminaries
4 Semi-honest Laconic 2PC with Branching Programs
4.1 The BP-2PC Construction
5 Applications
5.1 Private Set Intersection (PSI)
5.2 Private Set Union (PSU)
5.3 Wildcards
5.4 Fuzzy Matching
6 Proof of Lemma 3
7 Proof of Theorem 1
7.1 Proof of Lemma 4
7.2 Proof of Lemma 5
References
Rate-1 Fully Local Somewhere Extractable Hashing from DDH
1 Introduction
1.1 Our Results
1.2 Technical Outline
2 Preliminaries
2.1 Somewhere Extractable Hash Families
2.2 Somewhere Extractable Batch Arguments
3 Fully Local SEH from DDH
3.1 Definition
3.2 Construction
3.3 Security Analysis
4 Applications
4.1 Rate-1 seBARGs
4.2 Rate-1 BARGs with Short CRS
4.3 RAM SNARGs with Partial Input Soundness
References
Private Set Operations from Multi-query Reverse Private Membership Test
1 Introduction
1.1 Motivation
1.2 Our Contribution
1.3 Technical Overview
1.4 Related Works
1.5 Roadmap
2 Preliminaries
2.1 MPC in the Semi-honest Model
2.2 Private Set Operation
3 Protocol Building Blocks
3.1 Oblivious Transfer
3.2 Multi-query Reverse Private Membership Test
4 The First Generic Construction of mqRPMT
4.1 Definition of Commutative Weak PRF
4.2 Construction of Commutative Weak PRF
4.3 mqRPMT from Commutative Weak PRF
5 The Second Generic Construction of mqRPMT
5.1 Definition of Permuted OPRF
5.2 Construction of Permuted OPRF
5.3 mqRPMT from Permuted OPRF
6 Applications of mqRPMT
6.1 PSO Framework from mqRPMT
6.2 Private-ID
7 Performance
7.1 Implementation Details
7.2 Experimental Setup
7.3 Evaluation of mqRPMT
7.4 Benchmark Comparison of PSO Protocols
7.5 Tips for ECC-Based Implementations
8 Summary and Perspective
References
Author Index

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Public-Key Cryptography - PKC 2024

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