CSIDH

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf crypt
gptkbp:advantage commutative group action enables non-interactive key exchange
relatively slow performance compared to classical algorithms
gptkbp:application post-quantum secure key exchange
gptkbp:assumes hardness of computing isogenies between supersingular elliptic curves
gptkbp:basedOn isogenies of supersingular elliptic curves
gptkbp:category commutative group action
gptkbp:designedFor key exchange
gptkbp:field gptkb:post-quantum_cryptography
gptkbp:fullName Commutative Supersingular Isogeny Diffie–Hellman
https://www.w3.org/2000/01/rdf-schema#label CSIDH
gptkbp:introducedIn 2018
gptkbp:keySize 32 bytes (for 128-bit security)
64 bytes (for 128-bit security)
gptkbp:openSource available on GitHub
gptkbp:parameter p = 4*prod_{i=1}^74 l_i - 1, where l_i are small odd primes
gptkbp:proposedBy Castryck, Lange, Martindale, Panny, Renes
gptkbp:relatedTo gptkb:SIDH
gptkbp:uses supersingular elliptic curves over prime fields
gptkbp:vulnerableTo gptkb:Shor's_algorithm
gptkbp:YouTubeChannel gptkb:NIST_Post-Quantum_Cryptography_Standardization
gptkbp:bfsParent gptkb:SIDH
gptkbp:bfsLayer 7