Enumerative combinatorics
Word Processing in Groups
New Public-Key Cryptosystem Using Braid Groups
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
Pseudorandomness from Braid Groups
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
Potential Weaknesses of the Commutator Key Agreement Protocol Based on Braid Groups
EUROCRYPT '02 Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques: Advances in Cryptology
A Practical Attack on Some Braid Group Based Cryptographic Primitives
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
Entity authentication schemes using braid word reduction
Discrete Applied Mathematics - Special issue: Coding and cryptography
Reduction of conjugacy problem in braid groups, using two garside structures
WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
Thompson's group and public key cryptography
ACNS'05 Proceedings of the Third international conference on Applied Cryptography and Network Security
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We implement various computations in the braid groups via practically efficient and theoretically optimized algorithms whose pseudo-codes are provided. The performance of an actual implementation under various choices of parameters is listed.