Montgomery multiplication

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:algorithm
gptkbp:advantage avoids trial division
improves performance of modular exponentiation
gptkbp:category number theory
public-key cryptography
gptkbp:field cryptography
modular arithmetic
https://www.w3.org/2000/01/rdf-schema#label Montgomery multiplication
gptkbp:input integers modulo n
gptkbp:introducedIn 1985
gptkbp:inventedBy Peter L. Montgomery
gptkbp:output product modulo n
gptkbp:purpose efficient modular multiplication
gptkbp:relatedTo modular exponentiation
Barrett reduction
gptkbp:requires precomputed Montgomery parameter
gptkbp:usedIn gptkb:Elliptic_Curve_Cryptography
gptkb:RSA
gptkb:Diffie-Hellman_key_exchange
gptkbp:bfsParent gptkb:Peter_Montgomery
gptkbp:bfsLayer 7