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Stronger and Faster Side-Channel Protections for CSIDH
CSIDH Isogeny-based post-quantum cryptography key exchange
2019/7/22
CSIDH is a recent quantum-resistant primitive based on the difficulty of finding isogeny paths between supersingular curves. Recently, two constant-time versions of CSIDH have been proposed: first by ...
How to Construct CSIDH on Edwards Curves
Isogeny-based cryptography Montgomery curves Edwards curves
2019/7/22
CSIDH is an isogeny-based key exchange protocol proposed by Castryck, Lange, Martindale, Panny, and Renes in 2018. CSIDH is based on the ideal class group action on FpFp-isomorphic classes of Montgome...
Recently, Castryck, Lange, Martindale, Panny, and Renes proposed CSIDH (pronounced "sea-side") as a candidate post-quantum "commutative group action." It has attracted much attention and interest, in ...
A Faster Constant-time Algorithm of CSIDH keeping Two Torsion Points
CSIDH post-quantum cryptography Isogeny-based cryptography
2019/4/3
At ASIACRYPT 2018, Castryck, Lange, Martindale, Panny and Renes proposed CSIDH, which is a key-exchange protocol based on isogenies between elliptic curves, and a candidate for post-quantum cryptograp...
Towards Optimized and Constant-Time CSIDH on Embedded Devices
commutative supersingular isogeny constant-time embedded devices
2019/3/21
We present an optimized, constant-time software library for commutative supersingular isogeny Diffie-Hellman key exchange (CSIDH) proposed by Castryck et al. which targets 64-bit ARM processors. The p...
On Lions and Elligators: An efficient constant-time implementation of CSIDH
CSIDH Post-Quantum Cryptography constant-time
2018/12/19
The recently proposed CSIDH primitive is a promising candidate for post quantum static-static key exchanges with very small keys. However, until now there is only a variable-time proof-of-concept impl...
Quantum circuits for the CSIDH: optimizing quantum evaluation of isogenies
Elliptic curves isogenies circuits
2018/11/5
Choosing safe post-quantum parameters for the new CSIDH isogeny-based key-exchange system requires concrete analysis of the cost of quantum attacks. The two main contributions to attack cost are the n...
Quantum Security Analysis of CSIDH and Ordinary Isogeny-based Schemes
Post-quantum cryptography isogeny-based cryptography hidden shift problem
2018/6/5
CSIDH is a recent proposal by Castryck, Lange, Martindale, Panny and Renes for post-quantum non-interactive key-exchange. It is similar in design to a scheme by Couveignes, Rostovtsev and Stolbunov, b...
CSIDH: An Efficient Post-Quantum Commutative Group Action
post-quantum cryptography isogeny-based cryptography class group action
2018/5/2
We propose an efficient commutative group action suitable for non-interactive key exchange in a post-quantum setting. Our construction follows the layout of the Couveignes-Rostovtsev-Stolbunov cryptos...