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» The Conjugacy Search Problem in Public Key Cryptography: Unn...
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AAECC
2006
Springer
132views Algorithms» more  AAECC 2006»
13 years 9 months ago
The Conjugacy Search Problem in Public Key Cryptography: Unnecessary and Insufficient
The conjugacy search problem in a group G is the problem of recovering an x G from given g G and h = x-1 gx. This problem is in the core of several recently suggested public key ...
Vladimir Shpilrain, Alexander Ushakov
ACNS
2005
Springer
97views Cryptology» more  ACNS 2005»
14 years 3 months ago
Thompson's Group and Public Key Cryptography
Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established prot...
Vladimir Shpilrain, Alexander Ushakov
AAECC
2006
Springer
125views Algorithms» more  AAECC 2006»
13 years 9 months ago
Combinatorial Group Theory and Public Key Cryptography
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...
Vladimir Shpilrain, Gabriel Zapata