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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...
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...
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...
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...
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, ...
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...
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...
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...
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...
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...
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...
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...
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...

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