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.
Abstract. Motivated by cryptographic applications, we study subgroups of braid groups Bn generated b...
Abstract. Since the development of the RSA cryptographic system by Rivest, Shamir, and Adleman, in 1...
Abstract. We show that the decisional version of the Ko-Lee assumption for braid groups put forward ...
Abstract. The braid groups are infinite non-commutative groups naturally arising from geometric brai...
Abstract. The braid groups are infinite non-commutative groups nat-urally arising from geometric bra...
Abstract. Braid cryptosystem was proposed in CRYPTO 2000 as an alternate public-key cryptosystem. Th...
1 Introduction 1.1 Background and previous results Since Diffie and Hellman first presented a public...
Artin's braid groups have been recently suggested as a new source for public-key cryptography. ...
AbstractArtin's braid groups currently provide a promising background for cryptographical applicatio...
Abstract. Using a simple heuristic approach to the root problem in braid groups, we show that crypto...
Abstract. After some excitement generated by recently suggested public key exchange protocols due to...
Abstract. By introducing extra shields on Shpilrain and Ushakov’s Ko-Lee-like protocol based on the ...
Known proposals for key establishment schemes basing on combinatorial group theory are often formul...
We demonstrate that recent advances in the theory of braid groups, in particular a new invariant of ...
W pracy została opisana grupa warkoczowa przy użyciu języka algebry i topologii. Przedstawione zosta...
Abstract. Motivated by cryptographic applications, we study subgroups of braid groups Bn generated b...
Abstract. Since the development of the RSA cryptographic system by Rivest, Shamir, and Adleman, in 1...
Abstract. We show that the decisional version of the Ko-Lee assumption for braid groups put forward ...
Abstract. The braid groups are infinite non-commutative groups naturally arising from geometric brai...
Abstract. The braid groups are infinite non-commutative groups nat-urally arising from geometric bra...
Abstract. Braid cryptosystem was proposed in CRYPTO 2000 as an alternate public-key cryptosystem. Th...
1 Introduction 1.1 Background and previous results Since Diffie and Hellman first presented a public...
Artin's braid groups have been recently suggested as a new source for public-key cryptography. ...
AbstractArtin's braid groups currently provide a promising background for cryptographical applicatio...
Abstract. Using a simple heuristic approach to the root problem in braid groups, we show that crypto...
Abstract. After some excitement generated by recently suggested public key exchange protocols due to...
Abstract. By introducing extra shields on Shpilrain and Ushakov’s Ko-Lee-like protocol based on the ...
Known proposals for key establishment schemes basing on combinatorial group theory are often formul...
We demonstrate that recent advances in the theory of braid groups, in particular a new invariant of ...
W pracy została opisana grupa warkoczowa przy użyciu języka algebry i topologii. Przedstawione zosta...
Abstract. Motivated by cryptographic applications, we study subgroups of braid groups Bn generated b...
Abstract. Since the development of the RSA cryptographic system by Rivest, Shamir, and Adleman, in 1...
Abstract. We show that the decisional version of the Ko-Lee assumption for braid groups put forward ...