[PDF] Top 20 Ring-LWE in Polynomial Rings
Has 10000 "Ring-LWE in Polynomial Rings" found on our website. Below are the top 20 most common "Ring-LWE in Polynomial Rings".
Ring-LWE in Polynomial Rings
... a polynomial of some particular degree rather than round up to the next power of ...different ring, is that other cyclotomic polynomials may have a more desirable structure for the task at ...the ... See full document
23
Provably weak instances of Ring-LWE
... of Ring-LWE to these attacks, we state and examine the Ring-LWE problem for general number rings and demonstrate provably weak instances of ...that Ring-LWE instances can ... See full document
26
Skew polynomial rings and overrings
... The ring R concerned was used by Kerr [18] as an example of a ring with acc on annihilators but with no bound on the lengths of chains of an n ih ilato ... See full document
200
Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ) codes
... unital rings out of subsets of the skew polynomial ring R = S[t; σ, δ] where σ is an injective endomorphism and δ a left ...a polynomial f ∈ R = S[t; σ, δ] of degree m, whose leading ... See full document
21
Ring-LWE Cryptography for the Number Theorist
... irreducible polynomial with squarefree discriminant then the number field K obtained by adjoining a root of f to Q is ...the ring of integers of the associated number field ... See full document
20
Efficient Software Implementation of Ring-LWE Encryption
... Our present day public-key cryptography schemes use number theoretic problems such as factoring or discrete logarithms for providing digital signatures, key-exchange, and confidentiality. For sufficiently large key ... See full document
15
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
LWE from Non-commutative Group Rings
... In this section, we describe a cryptosystem based on the dihedral group ring. The protocol is identical to one based on the ideal lattice, except that since multipli- cation is not commutative, one needs to pay ... See full document
22
Steadiness of polynomial rings
... Throughout the paper a ring R means an associative ring with unit, and a module means a right R-module. We say that N is a subfactor of M if it is a submodule of a suitable factor of M. A submodule N of M ... See full document
11
Skew Polynomial Rings over Weak sigma-rigid Rings and sigma(*)-rings
... σ-rigid rings; Kwak in [10] introduced σ(∗)-rings and Ouyang in [14] introduced weak σ-rigid rings, where σ is an endomorphism of ring ...These rings are related to 2-primal ...these ... See full document
7
Nilpotent Elements in Skew Polynomial Rings
... nil R x . This condition is strongly connected to the question of whether or not a polynomial ring R x [ ] over a nil ring R is nil, which is related to a question of Amitsur [1]. This is true for ... See full document
16
Efficient Ring-LWE Encryption on 8-bit AVR Processors
... our ring-LWE encryption scheme given in the previous section use a modulus q that is prime and satisfies q ≡ 1 mod 2n ...a polynomial multiplication can be carried out efficiently with only n- point ... See full document
20
Transparency of Polynomial Ring Over a Commutative Noetherian Ring
... operator ring R[ x ; δ] by ...Skew polynomial rings have been of interest to many ...quotient ring of a ring appears in Chapter 9 of Goodearl and Warfield ... See full document
7
Generalized Weyl algebras and diskew polynomial rings
... At the beginning of the section we consider examples of generalized Weyl algebras. We show that each GWA A is a Z-graded ring which is a free left D-module (Theorem 2.2) but not a free right D-module, in general. ... See full document
29
ITRU: NTRU-based cryptosystem using ring of integers
... Truncated Polynomial Ring), pronounced as en-tru, is a lattice-based public key cryptosystem whose structure is based on polynomial convolution ...A ring is a set of elements which is closed ... See full document
6
Implementing Token-Based Obfuscation under (Ring) LWE
... The best prior results for general branching programs are provided by Halevi et al. for general read-once branching programs [41]. Although this construc- tion was subsequently broken using a rank attack in [24], it can ... 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
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
Prime radical of Ore extensions over \(\delta\)-rigid rings
... Artinian ring, where δ is a derivation of ...Noetherian ring and σ is an automorphism of R, then the skew-polynomial ring R[x, σ] embeds in an Artinian ...a ring which is an order in an ... See full document
6
NewHope without reconciliation
... secured Ring-LWE-based key encapsulation (KEM) or key ex- change, namely how exactly the second component of the encapsulation is computed (and consequently how precisely Alice and Bob agree on the shared ... See full document
9
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