Group-based cryptography is a use of groups to construct cryptographic primitives. A group is a very general algebraic object and most cryptographic schemes use groups in some way. In particular Diffie–Hellman key exchange uses finite cyclic groups. So the term group-based cryptography refers mostly to cryptographic protocols that use infinite non-abelian groups such as a braid group.
Examples Shpilrain–Zapata public-key protocols Magyarik–Wagner public key protocol Anshel–Anshel–Goldfeld key exchange Ko–Lee et al. key exchange protocol
See also Non-commutative cryptography
References
Further reading Paul, Kamakhya; Goswami, Pinkimani; Singh, Madan Mohan. (2022). "ALGEBRAIC BRAID GROUP PUBLIC KEY CRYPTOGRAPHY", Jnanabha, Vol. 52(2) (2022), 218-223. ISSN 0304-9892 (Print) ISSN 2455-7463 (Online)
External links Cryptography and Braid Groups page (archived version 7/17/2017)