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 was once subsidized through the overseas Asso- ation for Cryptologic examine (IACR)l, in cooperation with the college of Saragossa. It came about on the Palacio de Congresos in Saragossa, Spain, in the course of might 12-16, 1996. This used to be the 15th annual EUROCRYPT convention (this identify has been used because the 3rd convention held in 1984), every one of which has been held in a distinct urban in Europe. For the second one time, lawsuits have been to be had on the convention. JosC Pastor Franco, the overall Chair, used to be resp- sible for neighborhood association and registration. His contribution to the snccess of the convention is gratefully stated. this system Committee thought of 126 submitted papers and chosen 34 for presentation. every 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 evaluate. there have been additionally invited talks. James L. Massey, this year’s IACR exceptional Ltcturer, gave a lecture entitled “The trouble 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: earlier and present”. those lawsuits comprise revised models of the 34 contributed talks. whereas the papers have been conscientiously chosen, they've got no longer been refereed like submissions to a refereed magazine. The authors endure complete accountability for the contents in their papers. a few authors could write ultimate types in their papers for booklet in a refereed journal.

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Additional resources 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

These trade-offs are more realistic (cf. Table 2) with respect to the total niimber of bytes; this number increases only slightly while reducing the number of chosen texts. However, chosen texts are more difficult to obtain than known texts. Table 3. Parameters for improved forgery attack on MAA. 2 Long Message MAC Forgery on MAA For a fixed key and message block xi, the compression function of MAA is not a permutation. This causes the “loss of memory” problem, as was pointed out 30 by Block [6], and mentioned by Davies [7].

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 . If a 128-bit key is used with the remaining bits found by exhaustive search, the overall time complexity is on the order of the number of known texts.

P I , .. , F ‘ I ~ Sare public. P129,. . ,PIG,) are secrets. : the hash to 42 Let us consider ail HFE algorithm, as described in the next paragraphs, with z and y of about 128+32=160 bits. Let p l , . . ,prLbe the n public polynomials that give y from z, with n = 160 and F, = F2 for example. If only p1 to PI28 of these polynomials are public (the over are secret), then the polynomials P I , . p128, give a value z of 128 bits from a value z of 160 bits. In our algorithm here z is the hash of a message to sign and z will be the signature of z .

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