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 suggestions, used to be prepared and subsidized through the foreign organization for Cryptologic study (IACR). The IACR organizes sequence of foreign meetings every year, the EUROCRYPT assembly in Europe and CRWTO within the usa. The background of EUROCRYFT begun 15 years in the past in Germany with the Burg Feuerstein Workshop (see Springer LNCS 149 for the proceedings). It was once because of Thomas Beth's initiative and tough paintings that the seventy six contributors from 14 international locations accumulated 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 a few of the celebrities in cryptography. given that these early days the convention has been held in a unique position 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 ultimately again to Germany. The medical software for EUROCRYPT '97 was once prepare through a 18-member application committee whch thought of 104 top quality submissions. those complaints include the revised models of the 34 papers that have been accredited for presentation. furthermore, there have been invited talks by way 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
N - 1. Observe that Bob knows the value v; and he can therefore compute niEs Since there are only la possible values for E Bob can guess its value. When E is guessed correctly Bob can recover r since ( r + E)’ - r p 2= 2 E . r + E2 (mod N ) and this linear equation in T can be easily solved. Bob’s ability t o discover the secret random value r is the main observation which enables him to break the system. y - r2 n,,, + E2 s i by guessing the fault value (mod N) We now argue that Bob can verify that the fault value E was guessed corsj obtained from the above forrectly.
Obtaining this information requires O(n2log n ) modular multiplications since for each of the iE. 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), .
The same applies to a certification authority using RSA to generate certificates. g. CRC). We discuss these points in more detail at the end of the paper. We note that FIPS  publication 140-1 suggests that hardware faults may compromise the security of a module. Our results explicitly demonstrate the extent of the damage caused by such faults. 1 Chinese remainder based implementations The RSA system In this section we consider a system using RSA to generate signatures in a naive way. Let N = p q be a product of two large prime integers.