By J. C. Lagarias (auth.), David Chaum (eds.)
An foreign group of researchers is now flourishing within the region of cryptology-there was once none half-a-dozen years in the past. The intrinsic fascination of the sector definitely is a part of the reason. one other issue might be that many experience the significance and strength results of this paintings, as we movement into the knowledge age. i feel that a few of the conferences dedicated to cryptology over the last few years have contributed really considerably to the formation of this group, by means of permitting these within the box to get to grasp one another and by way of offering for swift trade of principles. CRYPTO eighty three was back really the cryptologic occasion of the 12 months. some of the so much lively individuals proceed to wait every year, and attendance maintains to develop at a fit expense. The casual and collegial surroundings and the seashore aspect environment which give a contribution to the recognition of the development have been back supported through wonderful climate. The absence of parallel periods appeared to offer a welcome chance to maintain abreast of advancements within the a variety of parts of job. each one consultation of the assembly geared up by way of this system committee is repre sented by means of a bit within the current quantity. The papers have been authorized via this system committee according to abstracts, and seem right here with no need been in a different way refereed. The final part comprises papers awarded on the casual rump consultation. A key-phrase index and an writer index to the papers is equipped on the finish of the volume.
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Additional resources for Advances in Cryptology: Proceedings of Crypto 83
A. Shamir, "A Polynomial Time Algorithm for 'Breaking the 'Basic Merkle-Hellman Cryptosystem," Proc. 23rd Annual Symposium on Foundations of Computer Science (1982), 145-152. 16. A. ," (extended abstract) paper presented at Crypto'82, Santa Barbara, CA (August 1982). EVALUATION OF THE ADLEMAN ATTACK ON MULTIPLY ITERATED KNAPSACK CRYPTOSYSTEMS (Abstract) E. F. Brickell J. C. Lagadas A. M. Odlyzko Sandia National Laboratories AT&T Bell Laboratories Albuquerque, New Mexico 87185 Murray Hill, N. J.
07974 ABSTRACT Early in 1982, A. Shamir  announced a polynomial time attack on the basic Merkle-Hellman knapsack cryptosystem. Since that time, attacks on various other knapsack cryptosystems have been proposed [1,2,4,6,7,11]. One of the most influential of the works in this area has been L. Adleman's paper , which was the first to suggest the use of the Lenstra, Lenstra and Lovasz (L3) lattice basis reduction algorithm  in attacks on knapsack cryptosystems. The L3 algorithm is now the most important tool used in such attacks.
The reason the density drops as the dimension increases is due to the performance of the L3 algorithm. As the dimension increases, the ratio of the length of vectors in the reduced basis to the 36 Ernest F. Brickell length of vectors in the shortest basis in the lattice also increases. This property makes it difficult to predict for large values of n what the cutoff density for success of this algorithm will be. However, we can say that there is some function d(n) such that this algorithm will be successful on almost all n-weight knapsacks of density < d(n).