Conference item icon

Conference item

Genus two isogeny cryptography

Abstract:

We study (ℓ,ℓ) -isogeny graphs of principally polarised supersingular abelian surfaces (PPSSAS). The (ℓ,ℓ) -isogeny graph has cycles of small length that can be used to break the collision resistance assumption of the genus two isogeny hash function suggested by Takashima. Algorithms for computing (2, 2)-isogenies on the level of Jacobians and (3, 3)-isogenies on the level of Kummers are used to develop a genus two version of the supersingular isogeny Diffie–Hellman protocol of Jao and de ...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1007/978-3-030-25510-7_16

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
New College
Role:
Author
ORCID:
0000-0002-3340-8868
Publisher:
Springer, Cham Publisher's website
Journal:
PQCrypto 2019 Journal website
Volume:
11505
Pages:
286-306
Series:
Lecture Notes in Computer Science
Host title:
PQCrypto 2019: Post-Quantum Cryptography
Publication date:
2019-07-14
Acceptance date:
2019-01-13
DOI:
ISSN:
0302-9743
Source identifiers:
966649
ISBN:
9783030255107
Keywords:
Pubs id:
pubs:966649
UUID:
uuid:1b39e132-0aa4-4af3-9fd9-6ac0ed6e5048
Local pid:
pubs:966649
Deposit date:
2019-01-29

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP