Titlebook: Complexity of Lattice Problems; A Cryptographic Pers Daniele Micciancio,Shafi Goldwasser Book 2002 Springer Science+Business Media New York

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0893-3405 d. De- spite their apparent simplicity, lattices hide a rich combinatorial struc- ture, which has attracted the attention of great mathematicians over the last two centuries. Not surprisingly, lattices have found numerous ap- plications in mathematics and computer science, ranging from number theory

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sed-rate

Statistical Continuum Mechanics norm. In this chapter, we investigate the computational complexity of SVP in any . . norm other than . ., with special attention to the Euclidean norm . .. In the rest of this chapter the . . norm is assumed, unless explicitly stated otherwise.

separate

Philip Kokic,Jens Breckling,Oliver Lübke+ ., the centers of the balls are inside a sphere of radius .. We want to determine for which values of λ/. we can pack exponentially (in .) many points. Here, and in the rest of this chapter, “exponential” means a function of the form [2^{n^c }] for some fixed constant . independent of ..)

Nonporous

Philip Kokic,Jens Breckling,Oliver LübkeThe problem of finding a “good” basis for a given lattice is generically called the . problem. Unfortunately, there is not a unique, clearly defined notion of what makes a basis good, and several different definitions of reduced basis have been suggested. In this chapter we consider the most importa

Maximize

cunning

floaters

Shortest Vector Problem, norm. In this chapter, we investigate the computational complexity of SVP in any . . norm other than . ., with special attention to the Euclidean norm . .. In the rest of this chapter the . . norm is assumed, unless explicitly stated otherwise.

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