[PDF] Top 20 On the Ring-LWE and Polynomial-LWE problems
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On the Ring-LWE and Polynomial-LWE problems
... R ≥0 , and outputting a bit. The probability that the oracle outputs 1 (over its internal randomness) is assumed to depend only on exp(t) · kz − xk, for some vector x. The goal is to recover O’s center x. On the one ... See full document
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Relating different Polynomial-LWE problems
... quantum polynomial time algorithm for solving Ideal-SVP for arbitrary ideals in cyclotomic ...on Ring-LWE or PLWE. Until now, there is no reduction from Ring-LWE or PLWE to ...Ideal-SVP ... See full document
18
Ring-LWE Cryptography for the Number Theorist
... PLWE problems for gen- eral rings. This includes studying the two problems independently, and analysing their relationships via the distortion of distributions just men- ... See full document
20
Analysis of Error-Correcting Codes for Lattice-Based Key Exchange
... Lattice problems allow the construction of very efficient key exchange and public-key encryption ...or Ring-LWE (RLWE) problem such schemes exhibit an interesting trade-off between decryption error ... See full document
22
A Practical Key Exchange for the Internet using Lattice Cryptography
... We have chosen to keep q prime of the form q ≡ 1 (mod m) to maintain consistency with the proof of security for ring-LWE. By following the analysis in [4, 17] we feel confident in saying that our regular ... See full document
31
Provably weak instances of Ring-LWE
... The ring and polynomial learning with errors problems (Ring-LWE and Poly-LWE) have been proposed as hard problems to form the basis for cryptosystems, and various security ... See full document
26
Partial Key Exposure in Ring-LWE-Based Cryptosystems: Attacks and Resilience
... a polynomial over a ...from Ring-LWE (RLWE) assumptions—currently 12 out of 69 submissions for the first round of NIST submissions are based on assumptions in the ring ...standard LWE ... See full document
28
High speed area efficient polynomial multiplication architecture for Ring-LWE and SHE cryptosystems
... In ring-learning with errors (ring-LWE) encryption and "somewhat" homomorphic encryption (SHE) cryptosystems polynomial multiplication is the basic and most time consuming exhausting ... See full document
8
Compact Ring-LWE based Cryptoprocessor
... compact polynomial multiplier architecture is designed without using any look-up table and the twiddle factors are simply computed on-the-fly during the NTT ... See full document
18
The impact of error dependencies on Ring/Mod-LWE/LWR based schemes
... of polynomial matrix elements, resulting in Ring-LWE or Mod-LWE schemes such as New Hope [1], LAC [14], LIMA [16], ...in Ring-LWR and Mod-LWR schemes as in Round2 [8] and Saber [3] ... See full document
13
Cyclotomic Polynomials in Ring-LWE Homomorphic Encryption Schemes
... N is a special case. This is because using the FFT algorithm makes multiplication in R 0 significantly faster (The- orem 6.2.2). Note that even though in principle, all cases of m can be imple- mented in O(n log n), the ... See full document
93
Implementing Token-Based Obfuscation under (Ring) LWE
... Program obfuscation has long been of interest to the cyber-security commu- nity. Obfuscated programs need to be difficult (computationally hard) to re- verse engineer, and have to protect intellectual property contained ... See full document
39
Practical CCA2-Secure and Masked Ring-LWE Implementation
... For the implementation of polynomial arithmetic we require a high-performance and constant-time modular reduction to prevent arithmetic-related SPA and remote timing attacks [PPM17]. As a consequence, the ... See full document
33
Efficient Ring-LWE Encryption on 8-bit AVR Processors
... intractable with current computing technology. However, these hard problems can be solved by using Shor’s algorithm [31] (or a variant of it) on a quantum computer. Lattice-based cryptography is often considered a ... See full document
20
Efficient Software Implementation of Ring-LWE Encryption
... the ring-LWE problem were ...based polynomial multiplier and a rejection ...the ring-LWE based encryption scheme exist [3, 9], there are few efficient software implementations on ... See full document
15
On the Leakage Resilience of Ring-LWE Based Public Key Encryption
... of polynomial rings and reduced its security to the hard problem known as the ring-SIS ...the ring-LWE problem and proved its hardness by proving a quantum reduction to SVP on arbitrary ideal ... See full document
32
Key Recovery for LWE in Polynomial Time
... the problems decision-LWE and search-LWE are classically equally hard (up to a polynomial factor) for practically any modulus ...the LWE parameters, so to solve a particular ... See full document
16
Faster AVX2 optimized NTT multiplication for Ring-LWE lattice cryptography
... Shuffling. Starting from level 4, the polynomials have degree less then 16. So they only occupy at most one register. We only need to multiply half of the coefficients of each polynomial with a root. Therefore we ... See full document
14
High-speed Polynomial Multiplication Architecture for Ring-LWE and SHE Cryptosystems
... resulting polynomial appear at the output at each ...the ring-LWE or SHE cryptosystems for further ...of ring-LWE decryption system by using the proposed FFT multiplier is shown in ... See full document
10
Improved (Hierarchical) Inner-Product Encryption from Lattices
... finite ring, defined as P IPE ( #„ v , #„ w ) = 1 if and only if w #„ > #„ v = ...predicates, polynomial evaluations, and CNF/DNF formulae, can be encoded as an inner product that exemplifies the ... See full document
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