Download Advances in Cryptology — CRYPTO’ 93: 13th Annual by Adi Shamir (auth.), Douglas R. Stinson (eds.) PDF

By Adi Shamir (auth.), Douglas R. Stinson (eds.)

The CRYPTO ’93 convention was once backed via the overseas organization for Cryptologic learn (IACR) and Bell-Northern examine (a subsidiary of Northern Telecom), in co-operation with the IEEE desktop Society Technical Committee. It came about on the college of California, Santa Barbara, from August 22-26, 1993. This was once the 13th annual CRYPTO convention, all of that have been held at UCSB. The convention used to be very stress-free and ran very of the final Chair, Paul Van Oorschot. easily, mostly as a result of the efforts It used to be a excitement operating with Paul through the months prime as much as the convention. there have been 136 submitted papers which have been thought of through this system Committee. of those, 38 have been chosen for presentation on the convention. there has been additionally one invited speak on the convention, offered by means of Miles Smid, the name of which was once “A prestige file at the Federal govt Key Escrow System.” The convention additionally integrated the favourite Rump consultation, which was once presided over by means of Whit Diffie in his ordinary inimitable type. thank you back to Whit for organizing and operating the Rump consultation. This 12 months, the Rump consultation integrated a fascinating and energetic panel dialogue on concerns concerning key escrowing. these participating have been W. Diffie, J. Gilmore, S. Goldwasser, M. Hellman, A. Herzberg, S. Micali, R. Rueppel, G. Simmons and D. Weitzner.

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Additional resources for Advances in Cryptology — CRYPTO’ 93: 13th Annual International Cryptology Conference Santa Barbara, California, USA August 22–26, 1993 Proceedings

Example text

Niq, Proof. For the s u m , we can rewrite it as n/2+Cixii}(z)/2. Using the additivity of the L1 the claim follows. Note that the AND function is either 0 or 1 (and not Ifl). We rewrite the A N D to be fI i=l - x21i } (x) Note that L1( l - x ~ l ( z ) ) = 1, and the claim follows from the multiplicative properties of L1 (see Lemma 7). ) the proof is the same as for the AND function. 2 L1. 0 Applications to LFSR with variable connections In this subsection we show that LFSR with variable connections have many properties that resemble random strings.

Zez) Z 5 6 ,257r , z58, is calculated according to (1) and (2). The transmitted message is then 3 Analysis The following Theorem and Corollaries establish a clear link between the strength of the integrity mechanism and the strength of the stream cipher from which it is constructed. Theoreml. Let p > 2w be prime, and the function f be defined by (2). Let M and M' be any two unequal message strings of length b, and y any fixed integer. Then i f x is a uniformly distributed random variable in the range 0 t o 2'" - 1, b PTobability(f(M, 2) - f(M', Z) ~ ( m o d p )5) 2" Proof.

The lemma states an upper bound on the quality of distinction, and therefore it is useful for tests of pseudorandomness. Lemma 6. ("131) IEU[fl - E,[fll IELl(f) where U is the uniform distribution and ,u is an €-bias distribution. Proof. By simple arithmetic Here we used t h e fact t h a t each j i ( S ) is bounded by E. In this section we present some methods for bounding the L1 norm of a function. The following technical Lemma gives a tool for doing that. Lemma7. Let f end g be functions from {O,l}n to the real numbers.

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