Abstract
We give an overview on non-associative public-key cryptography (PKC) which generalizes the concept of non-commutative PKC. In particular, we introduce a generalized Anshel-Anshel-Goldfeld (AAG) key establishment protocol (KEP) for magmas. Left selfdistributive systems appear in a natural special case of a generalized AAG-KEP for magmas, and we discuss concrete realizations using f-conjugacy in groups and shifted conjugacy in braid groups and the advantages of our schemes compared with the classical AAG-KEP.
| Original language | English |
|---|---|
| Title of host publication | Contemporary Mathematics |
| Publisher | American Mathematical Society |
| Pages | 85-112 |
| Number of pages | 28 |
| DOIs | |
| State | Published - 2016 |
Publication series
| Name | Contemporary Mathematics |
|---|---|
| Volume | 677 |
| ISSN (Print) | 0271-4132 |
| ISSN (Electronic) | 1098-3627 |
Bibliographical note
Publisher Copyright:© 2016 Amerian Mathematial Soiety.
Keywords
- Braid group
- Key establishment protocol
- Left selfdistributive system
- Magma (grupoid)
- Non-commutative cryptography