Abstract
The polyalphabetic encryption methods discussed so far use a key for encryption and a key for decryption. Crypto systems with self-reciprocal encryption steps use the same key for both, of course. In general, there are two possibilities:
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(1)
There is only one key. The same key character has its particular meaning for encryption and for decryption. This is the case for DES (Sect. 9.6.1).
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(2)
There are two keys, the encryption key and the decryption key.
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Literatur
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Efficient: With a computational effort which is polynomial in log |X| . If P = NP would hold, no strict one-way function could exist at all.
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For a running program, see Otto Forster, Algorithmische Zahlentheorie, Vieweg, Braunschweig 1996.
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Contrary to classical custom, Rivest, Shamir and Adleman did not suppress the word spacing. The literature on the RSA method follows them on this.
More cannot be expected, since there are always even fixpoints of the iteration; in fact Salomaa has shown that there always exist nine of them.
M.J. Wiener, Cryptanalysis of short RSA secret exponents. EUROCRYPT ’89 Proceedings. Lecture Notes in Computer Science 434, Springer 1990. Also: IEEE Transactions on Information Theory, Vol. 36 No. 3, May 1990, pp. 553–558 .
Anton Gerold has shown that conclusions can be drawn from the module on the structure of the doubly safe prime factors.
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© 2000 Springer-Verlag Berlin Heidelberg
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Bauer, F.L. (2000). Open Encryption Key Systems. In: Decrypted Secrets. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04024-9_10
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DOI: https://doi.org/10.1007/978-3-662-04024-9_10
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