Advances in Cryptology — EUROCRYPT ’96: International by Don Coppersmith, Matthew Franklin, Jacques Patarin, Michael

By Don Coppersmith, Matthew Franklin, Jacques Patarin, Michael Reiter (auth.), Ueli Maurer (eds.)

The EUROCRYPT ’96 convention used to be backed by way of the foreign Asso- ation for Cryptologic learn (IACR)l, in cooperation with the collage of Saragossa. It happened on the Palacio de Congresos in Saragossa, Spain, in the course of may well 12-16, 1996. This used to be the 15th annual EUROCRYPT convention (this identify has been used because the 3rd convention held in 1984), each one of which has been held in a distinct urban in Europe. For the second one time, complaints have been on hand on the convention. JosC Pastor Franco, the final Chair, was once resp- sible for neighborhood association and registration. His contribution to the snccess of the convention is gratefully said. this system Committee thought of 126 submitted papers and chosen 34 for presentation. each one paper was once despatched to all contributors of this system Committee and was once assigned to at the least 3 of them for cautious assessment. there have been additionally invited talks. James L. Massey, this year’s IACR exclusive Ltcturer, gave a lecture entitled “The hassle with difficulty”. Massey is the 3rd to obtain this honor, the 1st being Gustavus Simmons and Adi Shamir. Shafi Goldwasser gave an invited speak entitled “Multi occasion safe protocols: prior and present”. those complaints comprise revised models of the 34 contributed talks. whereas the papers have been conscientiously chosen, they've got now not been refereed like submissions to a refereed magazine. The authors undergo complete accountability for the contents in their papers. a few authors may well write ultimate models in their papers for booklet in a refereed journal.

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Additional info for Advances in Cryptology — EUROCRYPT ’96: International Conference on the Theory and Application of Cryptographic Techniques Saragossa, Spain, May 12–16, 1996 Proceedings

Example text

Iden of the proof. e. such that ’y is the encryption of x by the algorithm F with the public key k. HFE, as all efficient encryption algorithms (such as ELSA) has of course this property. Now let us consider the problem: “Is there an z such that g = F h ( z ) ? ” , where y is a given value. e. it is easy to verify that the answer is “yes” if such an z is given ( K is also another certificate). Moreover i f the answer is “no” K is a certificate that indeed the answer is “no”. So this proLlem is in NP nco NP.

13. M. Matsui, “The first experimental cryptanalysis of the Data Encryption Standard,” Proc. Crypto’94, LNCS 839, Springer-Vcrlag, 1994, pp. 1-11. 14. B. C. van Oorschot, “MDx-MAC: and building fast MACs f1om hash functions”, Proc. Crypto ’95, LNCS 969, Springer-Verlag, 1995, pp. 1-14. 15. L. Rivest, “The MD5 message-digest algorithm,” Request for Comments (RFC) 1,721, Internet Activities Board, Internet Privacy Task Force, April 1992. 16. P. Crypto ’95, LNCS 963, Springer-Verlag, 1995, pp. 29-42.

Alternatively, one could begin with messages of bitlength 448, which would require 266 chosen texts, but reveal 64 bits of the key immediately. This reasoning allows the following general result: Proposition 3. There exists n k q recovery nttack on one-key envelope methods such as that of RFC 1828, which requires q = [64/tl steps (1 5 t 5 64) to find 64 bits of the kev. 264 known texts of bitlength ci . 5 1 2 - t . i f o r some fixed ci > 1, a n d 2t+2 chosen texts. Table 1 summarizes the complexity t o find 64 key bits in t-bit slices, for different values o f t .

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