[PDF] Top 20 Ring-LWE Cryptography for the Number Theorist
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Ring-LWE Cryptography for the Number Theorist
... Exciting number theory problems often arise from cryptographic appli- ...associated number theoretic ...in number theory; in particular, we investigate the spectral distortion of an algebraic ... See full document
20
On the Leakage Resilience of Ring-LWE Based Public Key Encryption
... key cryptography is to construct schemes from ideal ...the ring setting and requiring at most a small constant number of ring elements in the public ...the Ring-LWE analogue of ... See full document
32
Gaussian Sampling Precision in Lattice Cryptography
... as Ring-LWE based encryption or signature algorithm), the bounds of Theorem 1 directly indicate (up to a constant factor) the number of times the private key oracle must be invoked before any ... See full document
9
Efficient Software Implementation of Ring-LWE Encryption
... public-key cryptography schemes use number theoretic problems such as factoring or discrete logarithms for providing digital signatures, key-exchange, and ... See full document
15
A Practical Key Exchange for the Internet using Lattice Cryptography
... We have implemented the Ring-LWE ephemeral Diffie-Hellman key encapsulation mechanism of Section 4.1 in the lower level language C in order to assess its performance. This code is available on the GitHub ... See full document
31
Efficient Ring-LWE Encryption on 8-bit AVR Processors
... Public-key cryptography based on the “ring-variant” of the Learning with Errors (ring-LWE) problem is both efficient and believed to remain secure in a post-quantum ...a ring-LWE ... See full document
20
Cyclotomic Polynomials in Ring-LWE Homomorphic Encryption Schemes
... multiplication. Since a message is encrypted with a small amount of noise, every time a multiplication is performed, this noise grows multiplicatively. Thus after a certain number of multiplications, the original ... See full document
93
NEON PQCryto: Fast and Parallel Ring-LWE Encryption on ARM NEON Architecture
... lattice-based cryptography on ARM processor and presents the first implementation of ring-LWE encryption on ARM NEON ...Iterative Number Theoretic Transform (NTT) for high-speed ...our ... See full document
8
Faster AVX2 optimized NTT multiplication for Ring-LWE lattice cryptography
... of Ring-LWE in power-of-two cyclotomic fields with completely splitting primes, the AVX2 optimized implementation of the Number-Theoretic Transform (NTT) from the NewHope key-exchange scheme is the ... See full document
14
Cold Boot Attacks on Ring and Module LWE Keys Under the NTT
... the ring- and module- variants of the LWE problem and investigate cold boot attacks on cryptographic schemes based on these problems, wherein an attacker is faced with the problem of recovering a scheme’s ... See full document
53
The Influence of LWE/RLWE Parameters on the Stochastic Dependence of Decryption Failures
... and Ring-LWE (RLWE) prob- lems allow the construction of efficient key exchange and public-key en- cryption ...many LWE/RLWE ...the LWE/RLWE cryptosystem. An exploration of the influence of ... See full document
14
CHIMERA: Combining Ring-LWE-based Fully Homomorphic Encryption Schemes
... interpreted in terms of the ratio between the diameter of the message space and the scale modulus q rather than the usual noise amplitude versus packing radius As we keep performing homomorphic operations, the message ... See full document
29
Number in Mathematical Cryptography
... a number anyway, is the ...page number, and in the latter as support for a favorite, as at maybe a football playoff, and for our purposes whether the number is understood to be cardinal or ordinal) ... See full document
19
Implementing Token-Based Obfuscation under (Ring) LWE
... sum of TokenGen and Eval , is under 1 second in both modes. The obfusca- tion runtime and program size are also small. The accuracy of the classification results is almost as high as for the linear SVM classification in ... See full document
39
Practical CCA2-Secure and Masked Ring-LWE Implementation
... the number of measured sample points per trace, we split the decoding into one measurement of the modulus transformation (Algorithm 1) and one measurement of the final operations as described in Algorithm ...total ... See full document
33
High-speed Polynomial Multiplication Architecture for Ring-LWE and SHE Cryptosystems
... In order to facilitate future comparisons, the results which the FFT multipliers are built by pure LUTs are provided (Design 1). In order to guarantee the speed and have a rela- tively fair comparison of the area-latency ... See full document
10
Partial Key Exposure in Ring-LWE-Based Cryptosystems: Attacks and Resilience
... the LWE secret (and/or error); (2) present partial key exposure attacks on RLWE, given 1/4- fraction of structured leakage on the secret key; (3) present a search to decision reduction for the Leaky RLWE ... See full document
28
The impact of error dependencies on Ring/Mod-LWE/LWR based schemes
... A chosen ciphertext attack against Ring-Learning with Errors (Ring-LWE) schemes exploiting decryption failures was reported by Fluhrer [5]. This attack uses knowledge of failing ciphertexts to ... See full document
13
On the Hardness of Learning With Errors with Binary Secrets
... binary-secret LWE also plays a fundamental role in theoretical studies, like the proof that LWE is leakage resilient [11], and the proof that LWE with polynomial modulus q is at least as hard as ... See full document
15
IMPORTANCE OF NUMBER THEORY IN CRYPTOGRAPHY
... commerce. Cryptography has become vital for the functioning of the global ...others. Cryptography is also known practical means for protecting information transmitted through public communication networks, ... See full document
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