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On the Security of Supersingular Isogeny Cryptosystems

Abstract:

We study cryptosystems based on supersingular isogenies. This is an active area of research in post-quantum cryptography. Our first contribution is to give a very powerful active attack on the supersingular isogeny encryption scheme. This attack can only be prevented by using a (relatively expensive) countermeasure. Our second contribution is to show that the security of all schemes of this type depends on the difficulty of computing the endomorphism ring of a supersingular elliptic curve....

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Publication status:
Published
Peer review status:
Peer reviewed

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Files:
  • (Accepted manuscript, pdf, 337.6KB)
Publisher copy:
10.1007/978-3-662-53887-6_3

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer Verlag Publisher's website
Journal:
Advances in Cryptology – ASIACRYPT 2016. ASIACRYPT 2016 Journal website
Volume:
10031
Pages:
63-91
Series:
Lecture Notes in Computer Science
Host title:
International Conference on the Theory and Application of Cryptology and Information Security. Advances in Cryptology – ASIACRYPT 2016
Publication date:
2016-12-08
Acceptance date:
2016-08-14
DOI:
Source identifiers:
638694
ISBN:
9783662538876
Keywords:
Pubs id:
pubs:638694
UUID:
uuid:840faec4-382f-44ec-aeac-76bd5962f7cb
Local pid:
pubs:638694
Deposit date:
2017-01-06

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