Paper 2003/099

Algorithms in Braid Groups

Matthew J. Campagna

Abstract

Braid Groups have recently been considered for use in Public-Key Cryptographic Systems. The most notable of these system has been the Birman-Ko-Lee system presented at Crypto 2000. This article gives a brief introduction into braid groups and the hard problems on which public key systems have been defined. It suggests a canonical form max run form using the Artin generators and supplies some supporting algorithms necessary for cryptographic operations.

Note: none