By Mihir Bellare, Ran Canetti, Hugo Krawczyk (auth.), Neal Koblitz (eds.)

ISBN-10: 3540615121

ISBN-13: 9783540615125

ISBN-10: 3540686975

ISBN-13: 9783540686972

Crypto '96, the 16th Annual Crypto convention, is backed via the foreign organization for Cryptologic learn (IACR), in cooperation with the IEEE computing device Society Technical Committee on protection and P- vacy and the pc technological know-how division of the college of California at Santa Barbara (UCSB). It happens at UCSB from August 18 to 22, 1996. the final Chair, Richard Graveman, is liable for neighborhood association and registration. The medical software used to be geared up by way of the 16-member software C- mittee. We thought of one hundred fifteen papers. (An extra 15 submissions needed to be summarily rejected due to lateness or significant noncompliance with the c- ditions within the demand Papers.) of those, 30 have been authorized for presentation. additionally, there'll be 5 invited talks through Ernest Brickell. Andrew Clark, Whitfield Diffie, Ronald Rivest, and Cliff Stoll. A Rump consultation could be chaired via Stuart Haber. those complaints comprise the revised types of the 30 contributed talks. least 3 com- The submitted model of every paper was once tested by way of at mittee participants and/or outdoors specialists, and their reviews have been taken under consideration within the revisions. despite the fact that, the authors (and no longer the committee) endure complete accountability for the content material in their papers.

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Additional resources for Advances in Cryptology — CRYPTO ’96: 16th Annual International Cryptology Conference Santa Barbara, California, USA August 18–22, 1996 Proceedings

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D / r j l ) This family of st2ronglyuniversal hash functions results in the following Acodes. Corollary 8. y"LjfJ(f(N)). For example, consider the parameters q = 2", P_s= 2-", and ~n= 3. By choosing q t,o br a large prime around 2" we get, log IS/ = 20. 3 . = 6 0 . 2". 2". roiinc1, that r:nrist,ructiori requires 82 key bits t,o authent,ic:ate log IS = 60 . 2'' soiirw bits, while our ~ i e wconstruction orily requires 80 key bits. One might, argiie that the above c:onst,riictiori gives orily A-codes for a few values of the key size, narncly q4, q 5 , y', .

We ralciilate where (6) follows from Lernma 16. Wv consider t,wo cases. Case I. f = 0 (mod p ) . , as in the finite field case. E by # 0 (mod p ) 42 Case 11. f # O (mod p ) . Now & ( T ( J . ( a ) )will ) be uniformly distributcd with 2 when T ( f ( a ) )# 0 (mod p ) . and takc the same value for all i when T ( f ( a )= ) O (mod p ) . We use Lemma 15 and get We note that when pfnP' > (0 ~ 1 ) p . wc' gct, a better cstirnat,e o€ e by 1 F<-+2a, since I{Q : T ( f ( a ) )= O u-1 P' (mod p ) } 1 2 p ( p J 7 L -2 (U - 1)fl).

Then from ( G l ) , (G2) and (G3) will we be able t,o find -4, R , and C? No, bccause ((3) is just a consequence of (G1) and (G2): frorn (G1) we have A = 6 l - q ' . B4'P, from (G2) wc have A So from ( G l ) , (CT'2), (G3) we will have only 2 i i indcpendenl equations in the 3 7 1 component,s (of degree 2 i n t>hcx,) of A , B , and C . (Moreover this proves that if b # 0, we will always have exactly 27, indrpcndant, equations in the (2: 3 n ) components of A , B and C). 4 Implementations and public key lengt 11s T h e algorithms Dragon arid MIIP-3 t,liat we have sccn are very efficient.

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Advances in Cryptology — CRYPTO ’96: 16th Annual International Cryptology Conference Santa Barbara, California, USA August 18–22, 1996 Proceedings by Mihir Bellare, Ran Canetti, Hugo Krawczyk (auth.), Neal Koblitz (eds.)

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