Supersingular isogeny key exchange

Supersingular isogeny Diffie–Hellman key exchange (SIDH) is a post-quantum cryptographic algorithm used to establish a secret key between two parties… (More)
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BitcoinDiffie–Hellman key exchangeElliptic curve cryptographyGeneral number field sieve
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Papers overview

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2019
2019
Tate-Shafarevich groups of constant elliptic curves and isogeny volcanos
We describe the structure of Tate-Shafarevich groups of a constant elliptic curves over function fields by exploiting the volcano… (More)
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2018
2018
Optimization of Supersingular Isogeny Cryptography for Deeply Embedded Systems
Public-key cryptography in use today can be broken by a quantum computer with sufficient resources. Microsoft Research has… (More)
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2016
2016
On the Security of Supersingular Isogeny Cryptosystems
We study cryptosystems based on supersingular isogenies. This is an active area of research in post-quantum cryptography. Our… (More)
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Review
2015
Review
2015
Overview of post-quantum public-key cryptosystems for key exchange
In this report we review four post-quantum cryptosystems: the ring learning with errors key exchange, the supersingular isogeny… (More)
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2012
2012
Pairing the volcano
Isogeny volcanoes are graphs whose vertices are elliptic curves and whose edges are l-isogenies. Algorithms allowing to travel on… (More)
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2011
2011
Modular polynomials via isogeny volcanoes
We present a new algorithm to compute the classical modular polynomial l in the rings Z(X;Y ) and (Z=mZ)(X;Y ), for a prime l and… (More)
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2010
2010
Pairing the Volcano
Isogeny volcanoes are graphs whose vertices are elliptic curves and whose edges are $\ell$-isogenies. Algorithms allowing to… (More)
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2008
2008
On Avoiding ZVP-Attacks Using Isogeny Volcanoes
The usage of elliptic curve cryptography in smart cards has been shown to be efficient although, when considering curves, one… (More)
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2007
2007
Isogeny cordillera algorithm to obtain cryptographically good elliptic curves
The security of most elliptic curve cryptosystems is based on the intractability of the Elliptic Curve Discrete Logarithm Problem… (More)
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Highly Cited
2002
Highly Cited
2002
Isogeny Volcanoes and the SEA Algorithm
Recently, Kohel gave algorithms to compute the conductor of the endomorphism ring of an ordinary elliptic curve, given the… (More)
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