By Johan Borst, Lars R. Knudsen, Vincent Rijmen (auth.), Walter Fumy (eds.)

EUROCRYEVr '97, the fifteenth annual EUROCRYPT convention at the idea and alertness of cryptographic recommendations, was once prepared and backed via the foreign organization for Cryptologic examine (IACR). The IACR organizes sequence of foreign meetings every year, the EUROCRYPT assembly in Europe and CRWTO within the usa. The historical past of EUROCRYFT began 15 years in the past in Germany with the Burg Feuerstein Workshop (see Springer LNCS 149 for the proceedings). It was once as a result of Thomas Beth's initiative and tough paintings that the seventy six contributors from 14 nations accrued in Burg Feuerstein for the 1st open assembly in Europe dedicated to modem cryptography. i'm proud to were one of many individuals and nonetheless fondly take note my first encounters with many of the celebrities in cryptography. in view that these early days the convention has been held in a unique situation in Europe every year (Udine, Paris, Linz, Linkoping, Amsterdam, Davos, Houthalen, Aarhus, Brighton, Balantonfiired, Lofthus, Perugia, Saint-Malo, Saragossa) and it has loved a gentle progress, because the moment convention (Udine, 1983) the IACR has been concerned, because the Paris assembly in 1984, the identify EUROCRYPT has been used. For its fifteenth anniversary, EUROCRYPT eventually lower back to Germany. The clinical software for EUROCRYPT '97 was once prepare by means of a 18-member application committee whch thought of 104 top of the range submissions. those lawsuits include the revised models of the 34 papers that have been authorized for presentation. furthermore, there have been invited talks by means of Ernst Bovelander and via Gerhard Frey.

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Extra info for Advances in Cryptology — EUROCRYPT ’97: International Conference on the Theory and Application of Cryptographic Techniques Konstanz, Germany, May 11–15, 1997 Proceedings

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R. Merkle & M. Hellman, Hiding information und signatures in trapdoor knapsacks, IEEE Transactions on Information Theory, vol. IT 24 no 5, yp. 525-530, 1978. 12. M. Naor, A proposal f o r a new public-key by Naccache and Stern, presented a t the Weizmann Institute Theory of Computation Seminar, November 19, 1995. 13. A. Odlyzko, Cryptanalytic attacks o n the multiplicative knapsack cryptosystem and o n Shamir’s f a s t signature scheme, IEEE Transactions on Information Theory, vol. IT 30, pp. 594-601, 1984.

As, observed by Desmedt in his 1986 survey [7], encryption in the multiplicative Merkle-Hellman knapsack is actually additive. I t is in fact the decryption which is multiplicat,ive. The scheme presented here is in this respect thoroughly multiplicative. It should also be noted that Merkle-Hellman’s knapsack was (partially) cryptanalyzed in by Odlyzko [13] but all our attempts to extend this attack to t,he new scheme failed. As a final conclusion, although our scheme seems practical and simple, it can hardly compete with RSA on concrete commercial platforms as its public keys are typically eighty times bigger than RSA ones.

Faults one must test all n possible values of i. Each test requires a constant number of modular multiplications. We assume the k faults occur at uniformly and independently chosen locations in the register r . The probability that at least one fault occurs in every bit position k = In other words, of the register T is at least 1 - n (1- $) 2 1- n . with probability at least for every 0 5 i < n there exists an di) among dl), . . ,dk)such that the i’th bit of di) is known to Bob (we regard the first bit as the LSB).

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