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For enabling post-quantum cryptanalytic experiments on a meaningful scale, there is a strong need for low-memory algorithms. We show that the combination of techniques from representations, multiple c...
Two-Round Oblivious Transfer from CDH or LPN     oblivious transfer  multiparty computation       font style='font-size:12px;'> 2019/4/23
We show a new general approach for constructing maliciously secure two-round oblivious transfer (OT). Specifically, we provide a generic sequence of transformations to upgrade a very basic notion of t...
We present a worst case decoding problem whose hardness reduces to that of solving the Learning Parity with Noise (LPN) problem, in some parameter regime. Prior to this work, no worst case hardness re...
Technically, our improvement comes from the heavy use of Nearest Neighbor techniques in all steps of the construction, whereas the BJMM-algorithm can only take advantage of Nearest Neighbor search in ...
On Iterative Collision Search for LPN and Subset Sum     LPN  knapsack-based cryptosystems       font style='font-size:12px;'> 2017/9/25
Iterative collision search procedures play a key role in developing combinatorial algorithms for the subset sum and learning parity with noise (LPN) problems. In both scenarios, the single-list pair-w...
New Algorithms for Solving LPN     LPN  Single-list kk-sum problem  Gaussian elimination       font style='font-size:12px;'> 2017/8/17
The intractability of solving the LPN problem serves as the security source of many lightweight/post-quantum cryptographic schemes proposed over the past decade. There are several algorithms available...
The Learning Parity with Noise (LPN) problem has found many applications in cryptography due to its conjectured post-quantum hardness and simple algebraic structure. Over the years, constructions of d...
LPN Decoded     LPN key size  Information Set Decoding  Grover       font style='font-size:12px;'> 2017/2/20
We propose new algorithms with small memory consumption for the Learning Parity with Noise (LPN) problem, both classically and quantumly. Our goal is to predict the hardness of LPN depending on both p...
Dodis, Kalai and Lovett (STOC 2009) initiated the study of the Learning Parity with Noise (LPN) problem with (static) exponentially hard-to-invert auxiliary input. In particular, they showed that un...
Observations on the LPN Solving Algorithm from Eurocrypt'16     public-key cryptography  LPN       font style='font-size:12px;'> 2016/5/5
In this note we re-evaluate the Eurocrypt'16 paper by Zhang et al. in the area of LPN solving algorithms. We present the history of LPN solving algorithms and give the general description of the algor...
Optimization of LPN Solving Algorithms     public-key cryptography  LPN Solving Algorithms       font style='font-size:12px;'> 2016/3/18
In this article we focus on constructing an algorithm that automatizes the generation of LPN solving algorithms from the considered parameters. When searching for an algorithm to solve an LPN instance...
Faster Algorithms for Solving LPN     LPN  BKW  Perfect code       font style='font-size:12px;'> 2016/3/14
The LPN problem, lying at the core of many cryptographic constructions for lightweight and post-quantum cryptography, receives quite a lot attention recently. The best published algorithm for solvin...
Pseudorandom functions (PRFs) play a central role in symmetric cryptography. While in principle they can be built from any one-way functions by going through the generic HILL (SICOMP 1999) and GGM (...
Two-Round Man-in-the-Middle Security from LPN     Secret-key authentication  Man-in-the-Middle security  LPN       font style='font-size:12px;'> 2016/1/27
Secret-key authentication protocols have recently received a considerable amount of attention, and a long line of research has been devoted to devising efficient protocols with security based on the...
Cryptographic schemes based on the Learning Parity with Noise (LPN) problem have several very desirable aspects: Low computational overhead, simple implementation and conjectured post-quantum hardne...

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