Results 31 to 40 of about 59 (58)

Group structure of elliptic curves over ℤ/Nℤ

Journal of Mathematical Cryptology
We characterize the possible groups E(Z∕NZ)E\left({\mathbb{Z}}/N{\mathbb{Z}}) arising from elliptic curves over Z∕NZ{\mathbb{Z}}/N{\mathbb{Z}} in terms of the groups E(Fp)E\left({{\mathbb{F}}}_{p}), with pp varying among the prime divisors of NN.
Sala Massimiliano, Taufer Daniele
doaj   +1 more source

Isolated elliptic curves and the MOV attack

Journal of Mathematical Cryptology, 2017
We present a variation on the CM method that produces elliptic curves over prime fields with nearly prime order that do not admit many efficiently computable isogenies. Assuming the Bateman–Horn conjecture, we prove that elliptic curves produced this way
Scholl Travis
doaj   +1 more source

Automated Reasoning about Cubic Curves

, 1993
It is well known that the n-ary morphisms defined on projective algebraic curves satisfy some strong local-to-global equational rules of derivation not satisfied in general by universal algebras. For example, every rationally defined group law on a cubic
R. Padmanabhan, W. Mccune
core  

Computing pairings on elliptic curves with embedding degree two via biextensions

Journal of Mathematical Cryptology
Bilinear pairings have emerged as a fundamental tool in public-key cryptography, enabling advanced protocols such as identity-based encryption, short signatures, and zero-knowledge proofs.
Zheng Yuhao, Lin Jianming, Zhao Chang-An
doaj   +1 more source

On the security of the CLSV PAEKS scheme

Journal of Mathematical Cryptology
Calderini, Longo, Sala and Villa (Journal of Mathematical Cryptology 2024) proposed a public key encryption with keyword search (PKES) scheme which we call the CLSV scheme. They claim that the scheme provides Ciphertext-Indistinguishability (CI) security
Emura Keita, Ohigashi Toshihiro, Sugio Nobuyuki   +2 more
doaj   +1 more source

Searchable encryption with randomized ciphertext and randomized keyword search

Journal of Mathematical Cryptology
The notion of public-key encryption with keyword search (PEKS) was introduced to search over encrypted data without performing any decryption. In this article, we propose a PEKS scheme in which both the encrypted keyword and the trapdoor are randomized ...
Calderini Marco, Longo Riccardo, Sala Massimiliano, Villa Irene   +3 more
doaj   +1 more source

HERON QUADRILATERALS VIA ELLIPTIC CURVES. [PDF]

Rocky Mt J Math, 2017
Izadi F, Khoshnam F, Moody D.
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Revêtements exceptionnels et sommes de 4 nombres triangulaires

Duke Mathematical Journal, 1992
Armando Treibich
exaly  

Matrix elliptic solitons

Duke Mathematical Journal, 1997
Armando Treibich
exaly