JP Journal of Algebra, Number Theory and Applications
Volume 3, Issue 3, Pages 359 - 364
(December 2003)
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A
NOTE ON THE DIFFIE-HELLMAN KEY EXCHANGE
Markku Niemenmaa (Finland)
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Abstract: The
Diffie-Hellman key exchange protocol is based on
discrete exponentiation and on the difficulty of
the discrete logarithm problem. In this note we
show that a similar protocol can be constructed
in an arbitrary nonabelian group G
by using an abelian subgroup of G
and the conjugacy relation and we consider
possibilities to use this protocol in the
symmetric group, in the projective special
linear group and in the group of semilinear
mappings. |
Keywords and phrases: public
key, nonabelian group, conjugacy relation. |
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