Exit Zen
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../../principles/security.rst:997
English
Bob chooses a secret integer : :math:`b`, computes :math:`B= g^{b} \mod p` and sends :math:`Cert(Bob,Bob_{pub},Ted), E_p(Bob_{priv},B)` to Alice
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103
../../principles/security.rst:1000
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Alice checks the signature (with :math:`Bob_{pub}`) and the certificate and computes :math:`S_{A}=B^{a} \mod p`
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104
../../principles/security.rst:1002
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Bob computes :math:`S_{B}=A^{b} \mod p`
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105
../../principles/security.rst:1006
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This prevents the attack mentioned above since Mallory cannot create a fake certificate and cannot sign a value by using Bob's private key. Given the risk of man-in-the-middle attacks, the Diffie-Hellman key exchange mechanism should never be used without authentication.
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107
../../principles/security.rst:1016
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The wikipedia page on passwords provides many of these references : https://en.wikipedia.org/wiki/Password_strength
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108
../../principles/security.rst:1019
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A detailed explanation of the operation of the RSA algorithm is outside the scope of this e-book. Various tutorials such as the `RSA page <https://en.wikipedia.org/wiki/RSA_(cryptosystem)>`_ on wikipedia provide examples and tutorial information.
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../../principles/security.rst:1024
English
A detailed explanation of the ECC cryptosystems is outside the scope of this e-book. A simple introduction may be found on `Andrea Corbellini's blog <http://andrea.corbellini.name/2015/05/17/elliptic-curve-cryptography-a-gentle-introduction/>`_. There have been deployments of ECC recently because ECC schemes usually require shorter keys than RSA and consume less CPU.
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The translation has come to an end.