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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»
14 years 10 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»
15 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
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AAECC
2006
Springer
125views Algorithms» more  AAECC 2006»
14 years 10 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