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» On the Homological Dimension of Lattices
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ICIP
2007
IEEE
15 years 11 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
14 years 7 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
15 years 4 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
15 years 1 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
15 years 3 months 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,...