Results 41 to 46 of about 549 (46)

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

Complex Hyperbolic Surfaces of Abelian Type [PDF]

, 2004
2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07.We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ...
Holzapfel, R.
core  

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

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