Welcome to the resource topic for 2018/383
Title:
CSIDH: An Efficient Post-Quantum Commutative Group Action
Authors: Wouter Castryck, Tanja Lange, Chloe Martindale, Lorenz Panny, Joost Renes
Abstract: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 cryptosystem, but we apply it to supersingular elliptic curves defined over a large prime field \mathbb F_p, rather than to ordinary elliptic curves. The Diffie-Hellman scheme resulting from the group action allows for public-key validation at very little cost, runs reasonably fast in practice, and has public keys of only 64 bytes at a conjectured AES-128 security level, matching NIST’s post-quantum security category I.
ePrint: https://eprint.iacr.org/2018/383
Slides: https://asiacrypt.iacr.org/2018/files/SLIDES/THURSDAY/P512/1045-1200/cslides.pdf
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