Titlebook: Elliptic Curves and Their Applications to Cryptography; An Introduction Andreas Enge Book 1999 Springer Science+Business Media New York 199

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Skalarprodukt und orthogonale Abbildungenho could efficiently compute discrete logarithms in the group underlying such a cryptosystem would be able to break the system. So to judge the security of the proposed cryptosystems we must have a closer look at algorithms for solving discrete logarithm problems.

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Steffen Goebbels,Jochen Rethmannunless special structures allow more efficient algorithms for breaking the system. If the group order is large enough, then square root attacks like Shanks’s baby-step giant-step or Pollard’s ρ-methods are not applicable. To make the Pohlig-Hellman attack impractical, two different approaches are co

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Lineare Abbildungen und Matrizen,evious chapter, as suggested first in [Koblitz, 1987] and [Miller, 1986]. They are particularly appealing because they achieve the same level of security as a finite field based cryptosystem with much shorter key lengths, which results in a faster encryption and decryption process. Our aim in this chapter is to prove the group law.

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Skalarprodukt und orthogonale Abbildungenho could efficiently compute discrete logarithms in the group underlying such a cryptosystem would be able to break the system. So to judge the security of the proposed cryptosystems we must have a closer look at algorithms for solving discrete logarithm problems.

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Steffen Goebbels,Jochen Rethmannunless special structures allow more efficient algorithms for breaking the system. If the group order is large enough, then square root attacks like Shanks’s baby-step giant-step or Pollard’s ρ-methods are not applicable. To make the Pohlig-Hellman attack impractical, two different approaches are conceivable.

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The Group Law On Elliptic Curves,evious chapter, as suggested first in [Koblitz, 1987] and [Miller, 1986]. They are particularly appealing because they achieve the same level of security as a finite field based cryptosystem with much shorter key lengths, which results in a faster encryption and decryption process. Our aim in this chapter is to prove the group law.

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