By Dan Boneh, Glenn Durfee (auth.), Jacques Stern (eds.)

This publication constitutes the refereed court cases of the overseas convention at the thought and alertness of Cryptographic strategies, EUROCRYPT '99, held in Prague, Czech Republic in may perhaps 1999.
The 32 revised complete papers awarded have been conscientiously chosen in the course of hugely aggressive reviewing procedure. The publication is split in topical sections on cryptanalysis, hash services, foundations, public key cryptosystems, watermarking and fingerprinting, elliptic curves, new schemes, block ciphers, dispensed cryptography, instruments from comparable components, and broadcast and multicast.

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Extra info for Advances in Cryptology — EUROCRYPT ’99: International Conference on the Theory and Application of Cryptographic Techniques Prague, Czech Republic, May 2–6, 1999 Proceedings

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143–154. 13. W. E. Hellman, “New directions in cryptography,” IEEE Trans. on Information Theory, Vol. IT–22, No. 6, 1976, pp. 644–654. 14. H. Dobbertin, “RIPEMD with two-round compress function is not collisionfree,” Journal of Cryptology, Vol. 10, No. 1, 1997, pp. 51–69. 15. H. Dobbertin, A. Bosselaers, B. Preneel, “RIPEMD-160: a strengthened version of RIPEMD,” Fast Software Encryption, LNCS 1039, D. , SpringerVerlag, 1996, pp. 71–82. be/∼bosselae/ripemd160. 16. S. , January 1977 (revised as FIPS 46-1:1988; FIPS 46-2:1993).

If the keys are generated using a finite pseudo-random function, the unconditional security is lost, but one has achieved a clear separation between compression (in a combinatorial way) and the final cryptographic step. This makes it easier to analyze and understand the resulting scheme. 3 Composition Constructions The following propositions show how universal hash functions can be combined in different ways in order to increase their domains, reduce , or decrease the range. Several of these results were applied by Wegman and Carter [40].

The hash result is m(x) · xn mod p(x). Since the total number of irreducible polynomials of degree n is roughly equal to 2n /n, it follows that this family of hash functions is -AXU with = tn/2n . Again, we have written an implementation for n = 64. The main step is the reduction, which can be optimized by using a precomputation of the mapping g(x) → g(x)·x64 mod p(x), with deg g(x) < 64. Again, following [35], two options were considered, that provide a time-memory trade-off. For the key generation, see [35].

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