5th International Conference on Geometry and Applications by Atanasov D.V.

By Atanasov D.V.

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The reblocking problem can be avoided. This problem occurs when both privacy and authentication are protected with the RSA public-key cryptosystem. If the sender first encrypts the message with the public key of the receiver (to protect privacy), the result might be larger than his modulus. Before he can apply his secret key (to protect authenticity) he has to reblock the message. It is not too hard to overcome the reblocking problem: a simple solution is to let the order of the operations depend on the size of the two moduli.

This can only happen if one uses 26 CHAPTER 2. CRYPTOGRAPHIC HASH FUNCTIONS the same key and digital signature scheme for privacy protection or authentication. One has to be careful with the selection of the hash function, as an unfortunate interaction between the digital signature scheme and the hash function can result in specific vulnerabilities (cf. 3). Again the problem arises to determine the properties that have to be satisfied by the MDC. To protect against an attack of an outsider, if suffices that the MDC is a OWHF.

1: A taxonomy for cryptographic hash functions. , the information to be protected with X. The image of X under the hash function h will be denoted with h(X) and the secret key with K. 1 One-way hash function (OWHF) The first informal definition of a OWHF was apparently given by R. Merkle [211, 213] and M. Rabin [274]. 1 A one-way hash function is a function h satisfying the following conditions: 1. The description of h must be publicly known and should not require any secret information for its operation (extension of Kerckhoffs’s principle1 ).

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