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» Lower Bounds in Distributed Computing
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DCC
2001
IEEE
14 years 8 months ago
Weierstrass Pairs and Minimum Distance of Goppa Codes
We prove that elements of the Weierstrass gap set of a pair of points may be used to define a geometric Goppa code which has minimum distance greater than the usual lower bound. We...
Gretchen L. Matthews
FOCS
2008
IEEE
14 years 3 months ago
Arithmetic Circuits: A Chasm at Depth Four
We show that proving exponential lower bounds on depth four arithmetic circuits imply exponential lower bounds for unrestricted depth arithmetic circuits. In other words, for expo...
Manindra Agrawal, V. Vinay
FCT
2005
Springer
14 years 2 months ago
The Complexity of Querying External Memory and Streaming Data
We review a recently introduced computation model for streaming and external memory data. An important feature of this model is that it distinguishes between sequentially reading (...
Martin Grohe, Christoph Koch, Nicole Schweikardt
MFCS
2001
Springer
14 years 1 months ago
On the Approximability of the Steiner Tree Problem
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
Martin Thimm