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IJAC
2006
93views more  IJAC 2006»
8 years 8 months ago
On Word Reversing in Braid Groups
It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a...
Patrick Dehornoy, Bert Wiest
DAM
2006
97views more  DAM 2006»
8 years 8 months ago
Entity authentication schemes using braid word reduction
Abstract. Artin's braid groups currently provide a promising background for cryptographical applications, since the first cryptosystems using braids were introduced in [2, 3, ...
Hervé Sibert, Patrick Dehornoy, Marc Giraul...
DAM
2008
114views more  DAM 2008»
8 years 8 months ago
Efficient solutions to the braid isotopy problem
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...
Patrick Dehornoy
ASIACRYPT
2001
Springer
9 years 1 days ago
An Efficient Implementation of Braid Groups
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...
Jae Choon Cha, Ki Hyoung Ko, Sangjin Lee, Jae Woo ...
CRYPTO
2001
Springer
145views Cryptology» more  CRYPTO 2001»
9 years 27 days ago
Pseudorandomness from Braid Groups
Recently the braid groups were introduced as a new source for cryptography. The group operations are performed efficiently and the features are quite different from those of other...
Eonkyung Lee, Sangjin Lee, Sang Geun Hahn
DCC
2007
IEEE
9 years 8 months ago
Towards generating secure keys for braid cryptography
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...
Ki Hyoung Ko, Jang-Won Lee, Tony Thomas
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