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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… Expand
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Related topics

12 relations
BitcoinDiffie–Hellman key exchangeElliptic curve cryptographyGeneral number field sieve
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2019
Review
2019
Supersingular isogeny key exchange for beginners
  • C. Costello
  • IACR Cryptol. ePrint Arch.
  • 2019
    • Corpus ID: 208179402
This is an informal tutorial on the supersingular isogeny Diffie-Hellman protocol aimed at non-isogenists. 
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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… Expand
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Highly Cited
2016
Highly Cited
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… Expand
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Highly Cited
2012
Highly Cited
2012
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… Expand
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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… Expand
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2012
2012
Isogeny volcanoes
The remarkable structure and computationally explicit form of isogeny graphs of elliptic curves over a finite field has made them… Expand
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2010
2010
Pairing the Volcano
Isogeny volcanoes are graphs whose vertices are elliptic curves and whose edges are l-isogenies. Algorithms allowing to travel on… Expand
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2010
2010
Alberta Number Theory Days - L-functions
Alberta Number Theory Days fell at the very start of the newly formed PIMS CRG in Number Theory, and was thus an excellent… Expand
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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… Expand
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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… Expand
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