Abstract. The braid groups are infinite non-commutative groups naturally arising from geometric braids. The aim of this article is twofold. One is to show that the braid groups ca...
Ki Hyoung Ko, Sangjin Lee, Jung Hee Cheon, Jae Woo...
The public key cryptosystems MST1 and MST2 make use of certain kinds of factorizations of finite groups. We show that generalizing such factorizations to infinite groups allows a ...
Maria Isabel Gonzalez Vasco, Consuelo Martínez, R...
At CRYPTO 2000, a new public-key encryption based on braid groups was introduced. This paper demonstrates how to solve its underlying problem using the Burau representation. By thi...
Most public key cryptosystems have been constructed based on abelian groups up to now. We propose a new public key cryptosystem built on finite non abelian groups in this paper. I...
Seong-Hun Paeng, Kil-Chan Ha, Jae Heon Kim, Seongt...
Abstract. Braid cryptosystem was proposed in CRYPTO 2000 as an alternate public-key cryptosystem. The security of this system is based upon the conjugacy problem in braid groups. S...