Constructing elliptic curve isogenies in quantum subexponential time
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 …
endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but …
Constructing elliptic curve isogenies in quantum subexponential time
AM Childs, D Jao, V Soukharev - arXiv e-prints, 2010 - ui.adsabs.harvard.edu
Given two elliptic curves over a finite field having the same cardinality and endomorphism
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
[PDF][PDF] Constructing elliptic curve isogenies in quantum subexponential time
A Childs, D Jao, V Soukharev - arXiv preprint arXiv:1012.4019, 2010 - math.uwaterloo.ca
How do quantum computers affect the security of PKC in general? Practical question: we'd
like to be able to send confidential information even after quantum computers are built …
like to be able to send confidential information even after quantum computers are built …
Constructing elliptic curve isogenies in quantum subexponential time
A Childs, D Jao, V Soukharev - degruyter.com
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 …
endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but …
[PDF][PDF] Constructing elliptic curve isogenies in quantum subexponential time
AM Childs, D Jao, V Soukharev - group - cacr.uwaterloo.ca
Given two elliptic curves over a finite field having the same cardinality and endomorphism
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
[PDF][PDF] Constructing elliptic curve isogenies in quantum subexponential time
AM Childs, D Jao, V Soukharev - group - Citeseer
Given two elliptic curves over a finite field having the same cardinality and endomorphism
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
Constructing elliptic curve isogenies in quantum subexponential time.
A Childs, D Jao, V Soukharev - Journal of Mathematical …, 2014 - search.ebscohost.com
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 …
endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but …
[PDF][PDF] Constructing elliptic curve isogenies in quantum subexponential time
AM Childs, D Jao, V Soukharev - group - scholar.archive.org
Given two elliptic curves over a finite field having the same cardinality and endomorphism
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
[PDF][PDF] Constructing elliptic curve isogenies in quantum subexponential time
AM Childs, D Jao, V Soukharev - qipconference.org
Quantum computation has the potential for dramatic impact on cryptography. Shor's
algorithm [16] breaks the two most widely used public-key cryptosystems, RSA encryption …
algorithm [16] breaks the two most widely used public-key cryptosystems, RSA encryption …
Constructing elliptic curve isogenies in quantum subexponential time
AM Childs, D Jao, V Soukharev - arXiv, 2010 - dml.mathdoc.fr
Given two elliptic curves over a finite field having the same cardinality and endomorphism
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …
ring, it is known that the curves admit an isogeny between them, but finding such an isogeny …