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Complexity of Lattice Problems: A Cryptographic Perspective (The Springer International Series in Engineering and Computer Science)


Mega Sale! Save 25% on the Complexity of Lattice Problems: A Cryptographic Perspective (The Springer International Series in Engineering and Computer Science) by Brand: Springer at EMS Linux. Hurry! Limited time offer. Offer valid only while supplies last. Lattices are geometric objects that can be pictorially described as the set of intersection points of an infinite, regular n-dimensional grid. De­


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Lattices are geometric objects that can be pictorially described as the set of intersection points of an infinite, regular n-dimensional grid. 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 and Diophantine approximation, to combinatorial optimization and cryptography. The study of lattices, specifically from a computational point of view, was marked by two major breakthroughs: the development of the LLL lattice reduction algorithm by Lenstra, Lenstra and Lovasz in the early 80's, and Ajtai's discovery of a connection between the worst-case and average-case hardness of certain lattice problems in the late 90's. The LLL algorithm, despite the relatively poor quality of the solution it gives in the worst case, allowed to devise polynomial time solutions to many classical problems in computer science. These include, solving integer programs in a fixed number of variables, factoring polynomials over the rationals, breaking knapsack based cryptosystems, and finding solutions to many other Diophantine and cryptanalysis problems.

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Manufacturer:Springer
Brand:Brand: Springer
Publisher:Springer
Studio:Springer
EAN:9780792376880
Item Weight:1.17 pounds
Item Size:0.63 x 9.21 x 9.21 inches
Package Weight:0.55 pounds
Package Size:6.4 x 0.9 x 0.9 inches

Complexity of Lattice Problems: A Cryptographic Perspective (The Springer International Series in Engineering and Computer Science) by Brand: Springer

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Complexity of Lattice Problems: A Cryptographic Perspective (The Springer International Series in Engineering and Computer Science)

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