Results 1 to 8 of about 8 (8)
The Eleventh Power Residue Symbol
Journal of Mathematical Cryptology, 2020 This paper presents an efficient algorithm for computing 11th-power residue symbols in the cyclo-tomic field ℚ(ζ11),$ \mathbb{Q}\left( {{\zeta }_{11}} \right), $where 11 is a primitive 11th root of unity.
Joye Marc +3 more
doaj +1 more source
On Dedekind′s criterion and monogenicity over Dedekind rings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 71, Page 4455-4464, 2003., 2003 We give a practical criterion characterizing the monogenicity of the integral closure of a Dedekind ring R, based on results on the resultant Res (p, pi) of the minimal polynomial p of a primitive integral element and of its irreducible factors pi modulo prime ideals of R.
M. E. Charkani, O. Lahlou
wiley +1 more source
Constructing elliptic curve isogenies in quantum subexponential time
Journal of Mathematical Cryptology, 2014 Given two ordinary elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but finding such an isogeny is believed to be computationally difficult.
Childs Andrew +2 more
doaj +1 more source
Definite orders with locally free cancellation
Transactions of the London Mathematical Society, 2019 We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modules.
Daniel Smertnig, John Voight
doaj +1 more source
On the quantum security of high-dimensional RSA protocol
Journal of Mathematical CryptologyThe idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine +3 more
doaj +1 more source
First-degree prime ideals of composite extensions
Journal of Mathematical CryptologyLet Q(α){\mathbb{Q}}\left(\alpha ) and Q(β){\mathbb{Q}}\left(\beta ) be linearly disjoint number fields and let Q(θ){\mathbb{Q}}\left(\theta ) be their compositum.
Santilli Giordano, Taufer Daniele
doaj +1 more source
Risk factors for severe COVID-19 infection in Brazilian children. [PDF]
Braz J Infect Dis, 2021 Hendler JV +5 more
europepmc +1 more source
Some of the next articles are maybe not open access.