Non-associative public-key cryptography

Arkadius Kalka

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

3 Scopus citations


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 languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Number of pages28
StatePublished - 2016

Publication series

NameContemporary Mathematics
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Bibliographical note

Publisher Copyright:
© 2016 Amerian Mathematial Soiety.


  • Braid group
  • Key establishment protocol
  • Left selfdistributive system
  • Magma (grupoid)
  • Non-commutative cryptography


Dive into the research topics of 'Non-associative public-key cryptography'. Together they form a unique fingerprint.

Cite this