By E. F. Brickell, J. H. Moore, M. R. Purtill (auth.), Andrew M. Odlyzko (eds.)
ISBN-10: 3540180478
ISBN-13: 9783540180470
ISBN-10: 3540477217
ISBN-13: 9783540477211
This booklet is the lawsuits of CRYPTO 86, one in a sequence of annual meetings dedicated to cryptologic study. they've got all been held on the collage of California at Santa Barbara. the 1st convention during this sequence, CRYPTO eighty one, equipped via A. Gersho, didn't have a proper lawsuits. The lawsuits of the next 4 meetings during this sequence were released as: Advances in Cryptology: complaints of Crypto eighty two, D. Chaum, R. L. Rivest, and A. T. Sherman, eds., Plenum, 1983. Advances in Cryptology: court cases of Crypto eighty three, D. Chaum, ed., Plenum, 1984. Advances in Cryptology: court cases of CRYPTO eighty four, G. R. Blakley and D. Chaum, eds., Lecture Notes in desktop technology #196, Springer, 1985. Advances in Cryptology - CRYPTO '85 complaints, H. C. Williams, ed., Lecture Notes in computing device technological know-how #218, Springer, 1986. A parallel sequence of meetings is held each year in Europe. the 1st of those had its complaints released as Cryptography: complaints, Burg Feuerstein 1982, T. Beth, ed., Lecture Notes in desktop technological know-how #149, Springer, 1983.
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Additional resources for Advances in Cryptology — CRYPTO’ 86: Proceedings
Example text
A signature on a valid message not actually s i p e d by A ) will cost 299 trials on the average, which makes a successful chosen signature attack infeasible. , a scheme whereby anyone can derive the message signed from the signature. 2. Multiplicative attacks The need for redundancy in M A messages has been established. To prevent a chosen signature attack only the p m t i f y of the redundancy present in valid messages is of interest. Still, the nature of the redundancy is also important, since RSA signatures have the property of being mdtiplicative.
Variations on a generalization of RSA signatures are considered with the aim of obviating such vulnerabilities. Ofthese variations, which involve a function of the message in the exponent, several are shown to have potential weaknesses similar to those of FSA. No attacks have been found for one of the variations. Its security does not depend on redundancy present in or artificially combined with messages. The same holds for a well-known use of RSA that relies on a one-way compression function. A comparison between the schemes is given.
In the following, three other signature schemes, which are special cases of GES, will be investigated. The first two of these will be shown to give problems similar to those of RSA. The third variation of GES seems a more promising alternative to RSA. 1 A first variation In our first example, F l and F2 are chosen to be M mod n and (M-d) mod +in), respectively. (Note that it makes no difference at all whether F1 is chosen to be M or M mod n. similarly, it is equivalent to have just M d for F 2 .
Advances in Cryptology — CRYPTO’ 86: Proceedings by E. F. Brickell, J. H. Moore, M. R. Purtill (auth.), Andrew M. Odlyzko (eds.)
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