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» On the Homological Dimension of Lattices
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ICIP
2007
IEEE
14 years 8 months ago
High Dimension Lattice Vector Quantizer Design for Generalized Gaussian Distributions
LVQ is a simple but powerful tool for vector quantization and can be viewed as a vector generalization of uniform scalar quantization. Like VQ, LVQ is able to take into account sp...
Leonardo H. Fonteles, Marc Antonini
INDOCRYPT
2010
Springer
13 years 4 months ago
Partial Key Exposure Attack on RSA - Improvements for Limited Lattice Dimensions
Abstract. Consider the RSA public key cryptosystem with the parameters N = pq, q < p < 2q, public encryption exponent e and private decryption exponent d. In this paper, cryp...
Santanu Sarkar, Sourav Sengupta, Subhamoy Maitra
FOCS
2008
IEEE
14 years 1 months ago
Spherical Cubes and Rounding in High Dimensions
What is the least surface area of a shape that tiles Rd under translations by Zd ? Any such shape must have volume 1 and hence surface area at least that of the volume-1 ball, nam...
Guy Kindler, Ryan O'Donnell, Anup Rao, Avi Wigders...
ICPP
1987
IEEE
13 years 10 months ago
Performance of VLSI Engines for Lattice Computations
Abstract. We address the problem of designing and building efficient custom Vl.Sl-besed processors to do computations on large multi-dimensional lattices. The design tradeoffs for ...
Steven D. Kugelmass, Kenneth Steiglitz, Richard K....
DGCI
2005
Springer
14 years 7 days ago
Computation of Homology Groups and Generators
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully e...
Samuel Peltier, Sylvie Alayrangues, Laurent Fuchs,...