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A hash function family is called correlation intractable if for all sparse relations, it hard to find, given a random function from the family, an input output pair that satisfies the relation. Correl...
Module-LWE versus Ring-LWE, Revisited
Lattice-based Cryptography Security Reduction Cyclotomic Fields
2019/8/19
Till now, the only reduction from the module learning with errors problem (MLWE) to the ring learning with errors problem (RLWE) is given by Albrecht et al.et al. in ASIACRYPT 20172017. Reductions fro...
Many cryptographic schemes have been proposed from learning with errors problems over some rings (Ring-LWE). Polynomial time quantum reduction from the approximating Shortest Independent Vectors Probl...
Discretisation and Product Distributions in Ring-LWE
Ring-LWE Discretisation Homomorphic Encryption
2019/6/3
A statistical framework applicable to Ring-LWE was outlined by Murphy and Player (IACR eprint 2019/452). Its applicability was demonstrated with an analysis of the decryption failure probability for d...
A Central Limit Framework for Ring-LWE Decryption
Ring-LWE Central Limit Theorem δ-subgaussian
2019/5/9
The purpose of this paper is to use a Central Limit approach to develop a statistical framework for analysing ciphertexts in Ring-LWE homomorphic encryption schemes. This statistical framework gives r...
Constant-Round Group Key Exchange from the Ring-LWE Assumption
Group key exchange Ring learning with errors Post-quantum cryptography
2019/4/22
Group key-exchange protocols allow a set of N parties to agree on a shared, secret key by communicating over a public network. A number of solutions to this problem have been proposed over the years, ...
A Simple Key Reuse Attack on LWE and Ring LWE Encryption Schemes as Key Encapsulation Mechanisms (KEMs)
LWE RLWE KEM
2019/3/13
In this paper, we present a simple attack on LWE and Ring LWE encryption schemes used directly as Key Encapsulation Mechanisms (KEMs). This attack could work due to the fact that a key mismatch in a K...
Algebraic aspects of solving Ring-LWE, including ring-based improvements in the Blum-Kalai-Wasserman algorithm
ring learning with errors learning with errors Ring-LWE
2019/3/1
We provide several reductions of Ring-LWE problems to smaller Ring-LWE problems in the presence of samples of a restricted form (i.e. (a,b) such that a is restricted to a subring, or multiplicative co...
Short Discrete Log Proofs for FHE and Ring-LWE Ciphertexts
Zero-Knowledge Proofs Bulletproofs FHE
2019/1/26
In applications of fully-homomorphic encryption (FHE) that involve computation on encryptions produced by several users, it is important that each user proves that her input is indeed well-formed. Thi...
Implementing Token-Based Obfuscation under (Ring) LWE
implementation lattice techniques token-based program obfuscation
2019/1/2
Token-based obfuscation (TBO) is an interactive approach to cryptographic program obfuscation that was proposed by Goldwasser et al. as a potentially more practical alternative to conventional non-int...
Partial Key Exposure in Ring-LWE-Based Cryptosystems: Attacks and Resilience
public-key cryptography lattice-based cryptography leakage resilience
2018/11/12
Introduce the search and decision Leaky-RLWE assumptions (Leaky-SRLWE, Leaky-DRLWE), to formalize the hardness of search/decision RLWE under leakage of some fraction of coordinates of the NTT transfor...
LAC: Practical Ring-LWE Based Public-Key Encryption with Byte-Level Modulus
lattice based cryptography learning with errors error correction
2018/11/2
Lattice based cryptography is one of the leading candidates of the post quantum cryptography. A major obstacle of deployment, though, is that its payload is relatively larger than the classical soluti...
Adding Distributed Decryption and Key Generation to a Ring-LWE Based CCA Encryption Scheme
cryptographic protocols post-quantum cryptosystem
2018/11/2
We show how to build distributed key generation and distributed decryption procedures for the LIMA Ring-LWE based post-quantum cryptosystem. Our protocols implement the CCA variants of distributed dec...
Efficient Evaluation of Low Degree Multivariate Polynomials in Ring-LWE Homomorphic Encryption Schemes
homomorphic encryption efficient polynomial evaluation ring lwe
2018/6/27
Homomorphic encryption schemes allow to perform computations over encrypted data. In schemes based on RLWE assumption the plaintext data is a ring polynomial. In many use cases of homomorphic encrypti...
The Ring Learning with Errors problem (RLWE) introduced by Lyubashevsky, Peikert and Regev (LPR, Eurocrypt 2010, Eurocrypt 2013) quickly became a central element in cryptographic literature and a foun...