By Mihir Bellare, Ran Canetti, Hugo Krawczyk (auth.), Neal Koblitz (eds.)
Crypto '96, the 16th Annual Crypto convention, is backed by means of the overseas organization for Cryptologic examine (IACR), in cooperation with the IEEE laptop Society Technical Committee on protection and P- vacy and the pc technology division of the collage of California at Santa Barbara (UCSB). It happens at UCSB from August 18 to 22, 1996. the final Chair, Richard Graveman, is chargeable for neighborhood association and registration. The clinical application was once geared up via the 16-member software C- mittee. We thought of a hundred and fifteen papers. (An extra 15 submissions needed to be summarily rejected as a result of lateness or significant noncompliance with the c- ditions within the demand Papers.) of those, 30 have been permitted for presentation. additionally, there'll be 5 invited talks via Ernest Brickell. Andrew Clark, Whitfield Diffie, Ronald Rivest, and Cliff Stoll. A Rump consultation can be chaired through Stuart Haber. those complaints include the revised models of the 30 contributed talks. least 3 com- The submitted model of every paper used to be tested by means of at mittee individuals 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) undergo 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
Example text
A Galois ring GH(q,m ) ,711 2 1 of q7nelerrient,sis simply a Galois extcnsioii of Z,. ,, = GR(q,7 n ) for short. Every such ring is isomorphic t o the ring Z,[z]/(g(z)), where y(z) is monk basic: irreducible of degree rn. - is a local ring having a unique maximal ideal Mqm= pRqTn. )= Rqm2 / M q T nF Fprrz. extension to Rqmand therefore t o RqTrL As a Inultiplicative group, the unit,s RZm in contain a cyclic group of order pm - 1. Let, j" E R;,,, bc! a generator of this cyclic group. ,. . Zz+ .
IEEE Press, 1992, 379-419. ] ~ 30 12. D. R . Stinson, Universal hashing and authentication codes, in “Advances in Cryptology CRYPT0 ’91”, J . , Lecture Notes an Computer Science 576 (1992), 74-85. 13. D. R. Stinson, Universal hashing and authent,ication codes, Designs, Codes and Cryptography 4 (1994), 369-380. 14. D. R. Stinson, On the connections between universal hashing, cornbinatorid designs and error-correcting codes, to appear in Congressus Numerantiurn 115 (1996). 1 15. R. Taylor, Nearly optimal unconditionally secure authentication, in “Advances in EUROCRYPT ’94”, A.
Secondly, by using Corollary 8 with q = p , wherc p is a large prime, one gets improvements compared with [l] which roughly is a doubling of the number of source bits that can be authenticated, or for a fixed niimher of source bits, a reduction of the number of key bits by roughly 2. We will next show that using the theory of exponential sums over Galois rings we can also construct universal hash families. 39 5 Exponential sums over Galois rings Some preliminaries on Galois rings are giveri below.