We describe the most efficient solutions to the word problem of Artin's braid group known so far, i.e., in other words, the most efficient solutions to the braid isotopy probl...
Abstract. After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that th...
Abstract. Artin's braid groups currently provide a promising background for cryptographical applications, since the first cryptosystems using braids were introduced in [2, 3, ...
In this paper we propose an authenticated key agreement, which works in a braid group. We prove that our protocol meet the security attributes under the assumption that the Conjug...