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Titlebook: Cryptography and Lattices; International Confer Joseph H. Silverman Conference proceedings 2001 Springer-Verlag Berlin Heidelberg 2001 Latt

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Behavioral Hardware Description Languages,ical sense. The increased efficiency of the new cryptosystems allows the use of bigger values for the security parameter, making the functions secure against the best cryptanalytic attacks, while keeping the size of the key even below the smallest key size for which lattice cryptosystems were ever conjectured to be hard to break.
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Improving Lattice Based Cryptosystems Using the Hermite Normal Form,ical sense. The increased efficiency of the new cryptosystems allows the use of bigger values for the security parameter, making the functions secure against the best cryptanalytic attacks, while keeping the size of the key even below the smallest key size for which lattice cryptosystems were ever conjectured to be hard to break.
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A 3-Dimensional Lattice Reduction Algorithm,ector in the lattice. The definition and the algorithm can be extended to any dimension. Elementary steps of our algorithm are rather different from those of the LLL-algorithm, which works in O(log. . binary operations without using fast integer arithmetic.
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Fast Reduction of Ternary Quadratic Forms, form..Finally we describe how this algorithm can be generalized to higher dimensions. Lattice basis reduction and shortest vector computation in fixed dimension . can be done with . log. . bit-operations.
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