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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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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-45708-9_19openalex-snapshot
A Generalized Birthday Problem
inferredcites →https://doi.org/10.1007/978-3-030-26951-7openalex-snapshot
Advances in Cryptology – CRYPTO 2019
inferredcites →https://doi.org/10.1007/978-3-540-31856-9_25openalex-snapshot
Solving Medium-Density Subset Sum Problems in Expected Polynomial Time
inferredcites →https://doi.org/10.1007/bf00189260openalex-snapshot
Efficient cryptographic schemes provably as secure as subset sum
inferredcites →https://doi.org/10.1007/s001459900012openalex-snapshot
Efficient Cryptographic Schemes Provably as Secure as Subset Sum
inferredcites →https://doi.org/10.1017/cbo9780511814549openalex-snapshot
A Computational Introduction to Number Theory and Algebra
inferredcites →https://doi.org/10.1017/cbo9781139165464openalex-snapshot
A Computational Introduction to Number Theory and Algebra
inferredcites →https://doi.org/10.1109/focs.2004.72openalex-snapshot
Worst-Case to Average-Case Reductions Based on Gaussian Measures
inferredcites →https://doi.org/10.1109/sfcs.1989.63486openalex-snapshot
How to recycle random bits
inferredcites →https://doi.org/10.1137/0210033openalex-snapshot
A $T = O(2^{n/2} )$, $S = O(2^{n/4} )$ Algorithm for Certain NP-Complete Problems
inferredcites →https://doi.org/10.1137/0215038openalex-snapshot
On the Lagarias-Odlyzko Algorithm for the Subset Sum Problem
inferredcites →https://doi.org/10.1145/237814.237838openalex-snapshot
Generating hard instances of lattice problems (extended abstract)
inferredcites →https://doi.org/10.1145/2455.2461openalex-snapshot
Solving low-density subset sum problems
inferredcites →https://doi.org/10.1145/73007.73010openalex-snapshot
A hard-core predicate for all one-way functions
inferredcites →https://doi.org/10.1145/792538.792543openalex-snapshot
Noise-tolerant learning, the parity problem, and the statistical query model

What points at this work

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

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On the Hardness of Learning Parity with Noise over Rings
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Simpler CCA Secure PKE from LPN Problem Without Double-Trapdoor
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Collision Resistant Hashing from Sub-exponential Learning Parity with Noise
inferred← citeshttps://doi.org/10.1007/978-3-030-64834-3_22openalex-snapshot
Improved Classical and Quantum Algorithms for Subset-Sum
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Breaking the Circuit Size Barrier for Secure Computation Under Quasi-Polynomial LPN
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Towards Efficient LPN-Based Symmetric Encryption
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Smoothing Out Binary Linear Codes and Worst-Case Sub-exponential Hardness for LPN
inferred← citeshttps://doi.org/10.1007/978-3-030-84252-9_17openalex-snapshot
Silver: Silent VOLE and Oblivious Transfer from Hardness of Decoding Structured LDPC Codes
inferred← citeshttps://doi.org/10.1007/978-3-030-90453-1_23openalex-snapshot
BKW Meets Fourier New Algorithms for LPN with Sparse Parities
inferred← citeshttps://doi.org/10.1007/978-3-031-15979-4_21openalex-snapshot
Correlated Pseudorandomness from Expand-Accumulate Codes
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A Non-heuristic Approach to Time-Space Tradeoffs and Optimizations for BKW
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Pseudorandom Correlation Functions from Variable-Density LPN, Revisited
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Spherical Gaussian Leftover Hash Lemma via the Rényi Divergence
inferred← citeshttps://doi.org/10.1007/978-3-031-38551-3_18openalex-snapshot
Correlated Pseudorandomness from the Hardness of Quasi-Abelian Decoding
inferred← citeshttps://doi.org/10.1007/978-3-031-38551-3_19openalex-snapshot
Expand-Convolute Codes for Pseudorandom Correlation Generators from LPN
inferred← citeshttps://doi.org/10.1007/978-3-031-68382-4_7openalex-snapshot
A Systematic Study of Sparse LWE
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Stationary Syndrome Decoding for Improved PCGs
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Wagner’s Algorithm Provably Runs in Subexponential Time for $$\textrm{SIS}^\infty $$
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Silent Secure Computation
inferred← citeshttps://doi.org/10.1007/978-3-032-12287-2_10openalex-snapshot
Slightly Sublinear Trapdoor Hash Functions and PIR from Low-Noise LPN
inferred← citeshttps://doi.org/10.1007/978-3-032-25333-0_1openalex-snapshot
Attacks on Goldreich’s Pseudorandom Generators by Grouping and Solving
inferred← citeshttps://doi.org/10.1007/978-3-032-35398-6_6openalex-snapshot
Post-quantum Cryptography from Quantum Stabilizer Decoding
inferred← citeshttps://doi.org/10.1007/978-3-319-50011-9_8openalex-snapshot
On the Robustness of Learning Parity with Noise
inferred← citeshttps://doi.org/10.1007/978-3-319-57048-8_2openalex-snapshot
The Complexity of Public-Key Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-319-57048-8_3openalex-snapshot
Pseudorandom Functions: Three Decades Later
inferred← citeshttps://doi.org/10.1007/978-3-319-60055-0_3openalex-snapshot
KDM-Secure Public-Key Encryption from Constant-Noise LPN
inferred← citeshttps://doi.org/10.1007/978-3-319-63715-0_17openalex-snapshot
LPN Decoded
inferred← citeshttps://doi.org/10.1007/978-3-319-68637-0_16openalex-snapshot
On the Hardness of Sparsely Learning Parity with Noise
inferred← citeshttps://doi.org/10.1007/978-3-319-70503-3_24openalex-snapshot
On Iterative Collision Search for LPN and Subset Sum
inferred← citeshttps://doi.org/10.1007/978-3-540-68914-0_21openalex-snapshot
PUF-HB: A Tamper-Resilient HB Based Authentication Protocol
inferred← citeshttps://doi.org/10.1007/978-3-540-71039-4_4openalex-snapshot
SWIFFT: A Modest Proposal for FFT Hashing
inferred← citeshttps://doi.org/10.1007/978-3-540-79456-1_28openalex-snapshot
An Improved Multi-set Algorithm for the Dense Subset Sum Problem
inferred← citeshttps://doi.org/10.1007/978-3-540-88625-9_3openalex-snapshot
Unclonable Lightweight Authentication Scheme
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Algebraic and Correlation Attacks against Linearly Filtered Non Linear Feedback Shift Registers
inferred← citeshttps://doi.org/10.1007/978-3-642-10628-6_21openalex-snapshot
Two Attacks against the F f RFID Protocol
inferred← citeshttps://doi.org/10.1007/978-3-642-11799-2_23openalex-snapshot
Public-Key Cryptographic Primitives Provably as Secure as Subset Sum
inferred← citeshttps://doi.org/10.1007/978-3-642-16367-8_26openalex-snapshot
Some Recent Results on Local Testing of Sparse Linear Codes
inferred← citeshttps://doi.org/10.1007/978-3-642-17367-7openalex-snapshot
Cryptography in Constant Parallel Time
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Cryptography with Constant Input Locality
inferred← citeshttps://doi.org/10.1007/978-3-642-20465-4_11openalex-snapshot
Semi-homomorphic Encryption and Multiparty Computation
inferred← citeshttps://doi.org/10.1007/978-3-642-21040-2_17openalex-snapshot
Practical Attacks on HB and HB+ Protocols
inferred← citeshttps://doi.org/10.1007/978-3-642-24412-4_32openalex-snapshot
On Noise-Tolerant Learning of Sparse Parities and Related Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-27660-6_9openalex-snapshot
Cryptography from Learning Parity with Noise
inferred← citeshttps://doi.org/10.1007/978-3-642-34047-5_20openalex-snapshot
Lapin: An Efficient Authentication Protocol Based on Ring-LPN
inferred← citeshttps://doi.org/10.1007/978-3-642-36140-1_4openalex-snapshot
Hidden Bits Approach for Authentication in RFID Systems
inferred← citeshttps://doi.org/10.1007/978-3-642-38553-7_6openalex-snapshot
HELEN: A Public-Key Cryptosystem Based on the LPN and the Decisional Minimal Distance Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-39212-2_48openalex-snapshot
Outsourced Pattern Matching
inferred← citeshttps://doi.org/10.1007/978-3-662-45608-8_17openalex-snapshot
Side-Channel Analysis of Multiplications in GF(2128)
inferred← citeshttps://doi.org/10.1007/978-3-662-45611-8_1openalex-snapshot
Solving LPN Using Covering Codes
inferred← citeshttps://doi.org/10.1007/978-3-662-46447-2_27openalex-snapshot
Low Noise LPN: KDM Secure Public Key Encryption and Sample Amplification
inferred← citeshttps://doi.org/10.1007/978-3-662-46800-5_8openalex-snapshot
Better Algorithms for LWE and LWR
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Improved Side-Channel Analysis of Finite-Field Multiplication
inferred← citeshttps://doi.org/10.1007/978-3-662-48800-3_29openalex-snapshot
How to Sequentialize Independent Parallel Attacks?
inferred← citeshttps://doi.org/10.1007/978-3-662-49384-7_2openalex-snapshot
Chosen-Ciphertext Security from Subset Sum
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On Public Key Encryption from Noisy Codewords
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Pseudorandom Functions in Almost Constant Depth from Low-Noise LPN
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Cryptography with Auxiliary Input and Trapdoor from Constant-Noise LPN
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Optimization of $$\mathsf {LPN}$$ Solving Algorithms
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Improved Algorithms for the Approximate k-List Problem in Euclidean Norm
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Reticoli e crittografia
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On Wagner’s k-Tree Algorithm Over Integers
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Generalized Compact Knapsacks, Cyclic Lattices, and Efficient One-Way Functions
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Cryptography with Constant Input Locality
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Parallel and Concurrent Security of the HB and HB+ Protocols
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The Extended k-tree Algorithm
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Asymptotically Efficient Lattice-Based Digital Signatures
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Solving LPN Using Covering Codes
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Outsourced pattern matching
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On the asymptotic complexity of solving LWE
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Limitations of the decoding-to-LPN reduction via code smoothing
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Quantum learning Boolean linear functions w.r.t. product distributions
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On solving L P N using B K W and variants
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Quantum-classical reinforcement learning for decoding noisy classical parity information
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Secure and anonymous decentralized Bitcoin mixing
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MPI-based implementation of an enhanced algorithm to solve the LPN problem in a memory-constrained environment
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An improved algorithm for learning sparse parities in the presence of noise
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CPA/CCA2-secure PKE with squared-exponential DFR from low-noise LPN
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Demonstration of quantum advantage in machine learning
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Low Noise LPN: Key dependent message secure public key encryption an sample amplification
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Specifications and improvements of LPN solving algorithms
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Constructing Carmichael numbers through improved subset-product algorithms
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Quantum machine learning: a classical perspective
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Quantum learning robust against noise
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Noise-tolerant parity learning with one quantum bit
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Learning-with-errors problem is easy with quantum samples
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A Practical Public Key Encryption Scheme Based on Learning Parity With Noise
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Chosen-Ciphertext Secure Key Encapsulation Mechanism in the Standard Model
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The Learning with Errors Problem (Invited Survey)
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Finding Correlations in Subquadratic Time, with Applications to Learning Parities and Juntas
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Correlated Pseudorandom Functions from Variable-Density LPN
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Fine-Grained Cryptanalysis: Tight Conditional Bounds for Dense k-SUM and k-XOR
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Range-Based Set Reconciliation
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Fine-grained Cryptanalysis: Tight Conditional Bounds for Dense k -SUM and k -XOR
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An improved BKW algorithm on the learning with rounding problem
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Solving systems of linear Boolean equations with noisy right-hand sides over the reals
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Division algorithms for the fixed weight subset sum problem
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A Framework for Efficient Adaptively Secure Composable Oblivious Transfer in the ROM
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Computational Limitations in Robust Classification and Win-Win Results
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Better Sample -- Random Subset Sum in $2^{0.255n}$ and its Impact on Decoding Random Linear Codes
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Bringing Theory Closer to Practice in Post-quantum and Leakage-resilient Cryptography
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The extended k-tree algorithm
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Classical and quantum cryptanalysis for Euclidean lattices and subset sums
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