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Efficient cryptographic schemes provably as secure as subset sum

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-16486-3_89openalex-snapshot
One-way functions and circuit complexity
inferredcites →https://doi.org/10.1007/3-540-46416-6_4openalex-snapshot
An Improved Low-Density Subset Sum Algorithm
inferredcites →https://doi.org/10.1007/3-540-48071-4_14openalex-snapshot
Perfect Zero-Knowledge Arguments for NP Can Be Based on General Complexity Assumptions
inferredcites →https://doi.org/10.1007/3-540-48329-2_12openalex-snapshot
Secret Sharing Made Short
inferredcites →https://doi.org/10.1007/3-540-49264-x_1openalex-snapshot
Attacking the Chor-Rivest Cryptosystem by Improved Lattice Reduction
inferredcites →https://doi.org/10.1007/3-540-54458-5_70openalex-snapshot
Improving the critical density of the Lagarias-Odlyzko attack against subset sum problems
inferredcites →https://doi.org/10.1007/978-1-4684-2001-2_9openalex-snapshot
Reducibility among Combinatorial Problems
inferredcites →https://doi.org/10.1007/978-1-4684-4730-9_2openalex-snapshot
Solving Low Density Knapsacks
inferredcites →https://doi.org/10.1007/bf00196774openalex-snapshot
Bit commitment using pseudorandomness
inferredcites →https://doi.org/10.1007/bf00196909openalex-snapshot
Efficient, perfect polynomial random number generators
inferredcites →https://doi.org/10.1007/bf01457454openalex-snapshot
Factoring polynomials with rational coefficients
inferredcites →https://doi.org/10.1007/bf01581144openalex-snapshot
Lattice basis reduction: Improved practical algorithms and solving subset sum problems
inferredcites →https://doi.org/10.1016/0020-0190(87)90036-6openalex-snapshot
Random oracles separate PSPACE from the polynomial-time hierarchy
inferredcites →https://doi.org/10.1016/0022-0000(79)90044-8openalex-snapshot
Universal classes of hash functions
inferredcites →https://doi.org/10.1016/0022-0000(84)90070-9openalex-snapshot
Probabilistic encryption
inferredcites →https://doi.org/10.1016/0022-0000(88)90005-0openalex-snapshot
Minimum disclosure proofs of knowledge
inferredcites →https://doi.org/10.1016/0168-0072(83)90038-6openalex-snapshot
∑11-Formulae on finite structures
inferredcites →https://doi.org/10.1090/psapm/042openalex-snapshot
Cryptology and Computational Number Theory
inferredcites →https://doi.org/10.1109/18.21214openalex-snapshot
A knapsack-type public key cryptosystem based on arithmetic in finite fields
inferredcites →https://doi.org/10.1109/5.4443openalex-snapshot
Cryptanalysis: a survey of recent results
inferredcites →https://doi.org/10.1109/sfcs.1979.3openalex-snapshot
A TcS2 = 0 (2n) time/space tradeoff for certain NP-complete problems
inferredcites →https://doi.org/10.1109/sfcs.1981.35openalex-snapshot
Parity, circuits, and the polynomial-time hierarchy
inferredcites →https://doi.org/10.1109/sfcs.1982.45openalex-snapshot
Theory and application of trapdoor functions
inferredcites →https://doi.org/10.1109/sfcs.1982.95openalex-snapshot
Theory and application of trapdoor functions
inferredcites →https://doi.org/10.1109/sfcs.1984.715945openalex-snapshot
Generating Quasi-Random Sequences From Slightly-Random Sources
inferredcites →https://doi.org/10.1109/sfcs.1985.49openalex-snapshot
Separating the polynomial-time hierarchy by oracles
inferredcites →https://doi.org/10.1109/sfcs.1986.47openalex-snapshot
Proofs that yield nothing but their validity and a methodology of cryptographic protocol design
inferredcites →https://doi.org/10.1109/sfcs.1988.21917openalex-snapshot
On the existence of pseudorandom generators
inferredcites →https://doi.org/10.1109/sfcs.1989.63486openalex-snapshot
How to recycle random bits
inferredcites →https://doi.org/10.1109/tit.1978.1055927openalex-snapshot
Hiding information and signatures in trapdoor knapsacks
inferredcites →https://doi.org/10.1137/0213053openalex-snapshot
How to Generate Cryptographically Strong Sequences of Pseudorandom Bits
inferredcites →https://doi.org/10.1137/0215025openalex-snapshot
A Simple Unpredictable Pseudo-Random Number Generator
inferredcites →https://doi.org/10.1137/0215038openalex-snapshot
On the Lagarias-Odlyzko Algorithm for the Subset Sum Problem
inferredcites →https://doi.org/10.1137/0217022openalex-snapshot
How to Construct Pseudorandom Permutations from Pseudorandom Functions
inferredcites →https://doi.org/10.1137/0218037openalex-snapshot
Succinct Certificates for Almost All Subset Sum Problems
inferredcites →https://doi.org/10.1137/0220072openalex-snapshot
An Almost Linear-Time Algorithm for the Dense Subset-Sum Problem
inferredcites →https://doi.org/10.1145/100216.100269openalex-snapshot
One-way functions are necessary and sufficient for secure signatures
inferredcites →https://doi.org/10.1145/100216.100270openalex-snapshot
Pseudo-random generators under uniform assumptions
inferredcites →https://doi.org/10.1145/12130.12132openalex-snapshot
Almost optimal lower bounds for small depth circuits
inferredcites →https://doi.org/10.1145/130385.130388openalex-snapshot
Cryptographic lower bounds for learnability of Boolean functions on the uniform distribution
inferredcites →https://doi.org/10.1145/167088.167197openalex-snapshot
Cryptographic hardness of distribution-specific learning
inferredcites →https://doi.org/10.1145/174130.174138openalex-snapshot
Constant depth circuits, Fourier transform, and learnability
inferredcites →https://doi.org/10.1145/2455.2461openalex-snapshot
Solving low-density subset sum problems
inferredcites →https://doi.org/10.1145/6490.6503openalex-snapshot
How to construct random functions
inferredcites →https://doi.org/10.1145/73007.73009openalex-snapshot
Pseudo-random generation from one-way functions
inferredcites →https://doi.org/10.1145/73007.73010openalex-snapshot
A hard-core predicate for all one-way functions
inferredcites →https://doi.org/10.1145/73007.73011openalex-snapshot
Universal one-way hash functions and their cryptographic applications

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Self-Masking for Hardening Inversions1
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On ε‐biased generators in NC0
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On the Distribution of the Diffie–Hellman Pairs
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Synthesizers and Their Application to the Parallel Construction of Pseudo-Random Functions
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Universal One-Way Hash Functions
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Computational Indistinguishability Between Quantum States and Its Cryptographic Application
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The Parity Problem in the Presence of Noise, Decoding Random Linear Codes, and the Subset Sum Problem
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Quantum Computational Cryptography
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Higher Order Universal One-Way Hash Functions from the Subset Sum Assumption
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QUAD: A Practical Stream Cipher with Provable Security
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On the Provable Security of an Efficient RSA-Based Pseudorandom Generator
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An Improved Pseudo-random Generator Based on Discrete Log
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On Pseudorandom Generators in NC0
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Efficient Recognition of Random Unsatisfiable k-SAT Instances by Spectral Methods
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Incremental Hash Function Based on Pair Chaining & Modular Arithmetic Combining
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Recognizing More Unsatisfiable Random 3-SAT Instances Efficiently
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Cryptanalysis of the Goldreich-Goldwasser-Halevi Cryptosystem from Crypto ’97
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The Hardness of the Hidden Subset Sum Problem and Its Cryptographic Implications
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The State of Cryptographic Hash Functions
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Cryptographic Primitives for Information Authentication — State of the Art
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Super-bits, demi-bits, and NP/qpoly-natural proofs
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A New Paradigm for Collision-Free Hashing: Incrementality at Reduced Cost
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Universal One-Way Hash Functions (UOWHF)
inferred← citeshttps://doi.org/10.1007/978-3-030-45727-3_4openalex-snapshot
Low Weight Discrete Logarithm and Subset Sum in $$2^{0.65n}$$ with Polynomial Memory
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Cryptographic Group Actions and Applications
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Universal One-Way Hash Functions (UOWHF)
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Genetic Algorithm-Based Pseudo Random Number Generation for Cloud Security
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On Treewidth, Separators and Yao’s Garbling
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Small Superset and Big Subset Obfuscation
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Design and Implementation of Secure Location Service Using Software Engineering Approach in the Age of Industry 4.0
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Quantum-Resistant 1-out-of-N Oblivious Signatures from Lattices
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Brief Announcement: Self Masking for Hardening Inversions
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Bottom-Up Trust Registry in Self Sovereign Identity
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Zero-Knowledge Protocols for the Subset Sum Problem from MPC-in-the-Head with Rejection
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Single Instance Self–masking via Permutations
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Commitments with Efficient Zero-Knowledge Arguments from Subset Sum Problems
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Efficient Quantum-Safe Distributed PRF and Applications: Playing DiSE in a Quantum World
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Post Quantum Lightweight OWF Candidates
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Subset-Optimized BLS Multi-signature with Key Aggregation
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A Survey of Hard Core Functions
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Distribution of Modular Sums and the Security of the Server Aided Exponentiation
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Sealing the Leak on Classical NTRU Signatures
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Spiking Neural P Systems with Structural Plasticity: Attacking the Subset Sum Problem
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Naor-Yung Paradigm with Shared Randomness and Applications
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Revisiting the Security Proof of QUAD Stream Cipher: Some Corrections and Tighter Bounds
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Masking Based Domain Extenders for UOWHFs: Bounds and Constructions
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Solving Medium-Density Subset Sum Problems in Expected Polynomial Time
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How to Protect Yourself without Perfect Shredding
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An Improved Multi-set Algorithm for the Dense Subset Sum Problem
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Secure Arithmetic Computation with No Honest Majority
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Public-Key Cryptosystems Resilient to Key Leakage
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Public-Key Cryptographic Primitives Provably as Secure as Subset Sum
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New Generic Algorithms for Hard Knapsacks
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Domain Extension for Enhanced Target Collision-Resistant Hash Functions
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Cryptography in Constant Parallel Time
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Cryptography in NC 0
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Cryptography with Constant Input Locality
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Semi-homomorphic Encryption and Multiparty Computation
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Cryptanalysis of the Knapsack Generator
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Faster and Smoother – VSH Revisited
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Pseudorandom Knapsacks and the Sample Complexity of LWE Search-to-Decision Reductions
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2SC: An Efficient Code-Based Stream Cipher
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Universal One-Way Hash Functions (UOWHF)
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Lattice Signatures without Trapdoors
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Circular and KDM Security for Identity-Based Encryption
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Improving the Performance of the SYND Stream Cipher
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Tighter Reductions for Forward-Secure Signature Schemes
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Outsourced Pattern Matching
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Efficient Multiparty Protocols via Log-Depth Threshold Formulae
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Solving Random Subset Sum Problem by l p -norm SVP Oracle
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Recent Advances in the Theory of Nonlinear Pseudorandom Number Generators
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Provable Second Preimage Resistance Revisited
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Chosen-Ciphertext Security from Subset Sum
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Reticoli e crittografia
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Positive applications of lattices to cryptography
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The complexity of computing hard core predicates
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Collision-Resistant hashing: Towards making UOWHFs practical
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Speeding up discrete log and factoring based schemes via precomputations
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Generalized Compact Knapsacks, Cyclic Lattices, and Efficient One-Way Functions
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An Improved Pseudo-Random Generator Based on the Discrete Logarithm Problem
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Cryptography with Constant Input Locality
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Computational Indistinguishability Between Quantum States and Its Cryptographic Application
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Asymptotically Efficient Lattice-Based Digital Signatures
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Multiparty Generation of an RSA Modulus
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Breaking the $$O(\sqrt{n})$$-Bit Barrier: Byzantine Agreement with Polylog Bits Per Party
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Perfect Zero-Knowledge Arguments for NP Using Any One-Way Permutation
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An Efficient Existentially Unforgeable Signature Scheme and Its Applications
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A pseudorandom number generator based on worst-case lattice problems
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Outsourced pattern matching
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More efficient DDH pseudorandom generators
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A low-memory algorithm for finding short product representations in finite groups
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Fixed points of the subset sum pseudorandom number generators
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Improved broadcast attacks against subset sum problems via lattice oracle
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Scheduling lower bounds via AND subset sum
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A comprehensive review on collision-resistant hash functions on lattices
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QUAD: A multivariate stream cipher with provable security
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Naor–Yung paradigm with shared randomness and applications
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Tightly secure signature schemes from the LWE and subset sum assumptions
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Self-masking for hardening inversions
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On the uniformity of distribution of the RSA pairs
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Elliptic Curve Multiset Hash
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Classification of Hash Functions Suitable for Real-Life Systems
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Number Partitioning With Grover’s Algorithm in Central Spin Systems
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Certificate revocation and certificate update
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Hardness vs. randomness within alternating time
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On Constructing Parallel Pseudorandom Generators from One-Way Functions
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A new approach to address Subset Sum problem
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Cryptography in NC⁰
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Cryptography from Anonymity
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The Complexity of Distributions
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Extractors for Circuit Sources
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SYND: a Fast Code-Based Stream Cipher with a Security Reduction
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Number-theoretic constructions of efficient pseudo-random functions
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Quantum computation and lattice problems
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On ε-biased generators in NC/sup 0/
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Secure Two-party Threshold ECDSA from ECDSA Assumptions
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Computational complexity and implementation aspects of the incremental hash function
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Masking-Based Domain Extenders for UOWHFs: Bounds and Constructions
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Fog-Assisted Composite Attribute-Based Encryption for Secure Personal Health Data Sharing
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SETH-Based Lower Bounds for Subset Sum and Bicriteria Path
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Cryptography in $NC^0$
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A Pseudorandom Generator from any One-way Function
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New lattice-based cryptographic constructions
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Quadratic Maps Are Hard to Sample
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Oblivious transfer and polynomial evaluation
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Faster space-efficient algorithms for subset sum and k-sum
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Top-𝑘-convolution and the quest for near-linear output-sensitive subset sum
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Proof of aliveness
inferred← citeshttps://doi.org/10.1145/3450524openalex-snapshot
SETH-based Lower Bounds for Subset Sum and Bicriteria Path
inferred← citeshttps://doi.org/10.1145/3618260.3649670openalex-snapshot
Locality Bounds for Sampling Hamming Slices
inferred← citeshttps://doi.org/10.1145/780542.780578openalex-snapshot
Random knapsack in expected polynomial time
inferred← citeshttps://doi.org/10.1145/780542.780603openalex-snapshot
New lattice based cryptographic constructions
inferred← citeshttps://doi.org/10.1145/972639.972643openalex-snapshot
Number-theoretic constructions of efficient pseudo-random functions
inferred← citeshttps://doi.org/10.1515/gcc-2012-0009openalex-snapshot
No-leak authentication by the Sherlock Holmes method
inferred← citeshttps://doi.org/10.1515/gcc-2017-0001openalex-snapshot
Pseudo-free families of finite computational elementary abelian p-groups
inferred← citeshttps://doi.org/10.1515/itit-2019-0038openalex-snapshot
Solving subset sum with small space – Handling cryptanalytic Big Data
inferred← citeshttps://doi.org/10.1561/0400000033openalex-snapshot
On the Power of Small-Depth Computation
inferred← citeshttps://doi.org/10.1561/0400000074openalex-snapshot
A Decade of Lattice Cryptography
inferred← citeshttps://doi.org/10.1561/9781601983015openalex-snapshot
On the Power of Small-Depth Computation
inferred← citeshttps://doi.org/10.1561/9781680831139openalex-snapshot
A Decade of Lattice Cryptography
inferred← citeshttps://doi.org/10.3390/info16100887openalex-snapshot
From Subset-Sum to Decoding: Improved Classical and Quantum Algorithms via Ternary Representation Technique
inferred← citeshttps://doi.org/10.3929/ethz-a-007554419openalex-snapshot
Cryptanalysis of hardware-oriented ciphers the Knapsack generator, and SHA-1
inferred← citeshttps://doi.org/10.4230/dagsemproc.07021.9openalex-snapshot
QUAD: Overview and Recent Developments
inferred← citeshttps://doi.org/10.4230/lipics.esa.2019.73openalex-snapshot
Equal-Subset-Sum Faster Than the Meet-in-the-Middle
inferred← citeshttps://doi.org/10.4230/lipics.stacs.2015.48openalex-snapshot
Subset Sum in the Absence of Concentration
inferred← citeshttps://doi.org/10.48550/arxiv.1201.2739openalex-snapshot
Division algorithms for the fixed weight subset sum problem
inferred← citeshttps://doi.org/10.48550/arxiv.1703.06255openalex-snapshot
Prio: Private, Robust, and Scalable Computation of Aggregate Statistics
inferred← citeshttps://doi.org/10.48550/arxiv.1907.04295openalex-snapshot
Better Sample -- Random Subset Sum in $2^{0.255n}$ and its Impact on Decoding Random Linear Codes
inferred← citeshttps://doi.org/10.48550/arxiv.1912.09264openalex-snapshot
Improved quantum algorithm for the random subset sum problem
inferred← citeshttps://doi.org/10.48550/arxiv.quant-ph/0403069openalex-snapshot
Computational Indistinguishability between Quantum States and Its Cryptographic Application
inferred← citeshttps://doi.org/10.5120/20043-7214openalex-snapshot
The Subset-Sum Problem: Revisited with an Improved Approximated Solution
inferred← citeshttps://doi.org/10.5555/2833227.2833257openalex-snapshot
On randomness extraction in AC0
inferred← citeshttps://doi.org/10.6100/ir714676openalex-snapshot
Endomorphism rings in cryptography
inferred← citeshttps://doi.org/10.62056/akp-49qgxqopenalex-snapshot
Slalom at the Carnival: Privacy-preserving Inference with Masks from Public Knowledge
inferred← citeshttps://doi.org/10.70675/af9d1b8az08abz41f0za364z66a2ed720b8fopenalex-snapshot
Zero-knowledge arguments from secure multiparty computation
inferred← citeshttps://doi.org/10.70675/de2ebf31z04dez4e26z9fe1z511476c5f092openalex-snapshot
Mathematical studies of arithmetical pseudo-random numbers generators
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