| 摘要 |
Apparati, methods, and computer readable media for enabling two parties ( 1,2 ) to exchange encrypted messages, exchange symmetric cryptographic keys, and perform functions of public key cryptography. First and second key exchange algorithms use commuting pairs of subsets of a monoid. The first key exchange algorithm has four principal embodiments. In three of the embodiments, a set of matrices over a hyperbolic ring is used as the monoid. In the fourth embodiment, a braid group is used as the monoid. The second key exchange algorithm has five principal embodiments. In four of the embodiments, a set of matrices over a hyperbolic ring is used as the monoid. In the fifth embodiment, a braid group is used as the monoid.
|
