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» The Calculus of Algebraic Constructions
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TIT
1998
127views more  TIT 1998»
14 years 11 months ago
The Art of Signaling: Fifty Years of Coding Theory
—In 1948 Shannon developed fundamental limits on the efficiency of communication over noisy channels. The coding theorem asserts that there are block codes with code rates arbit...
A. Robert Calderbank
CORR
2010
Springer
131views Education» more  CORR 2010»
14 years 10 months ago
Ideal forms of Coppersmith's theorem and Guruswami-Sudan list decoding
: We develop a framework for solving polynomial equations with size constraints on solutions. We obtain our results by showing how to apply a technique of Coppersmith for finding ...
Henry Cohn, Nadia Heninger
JCT
2010
79views more  JCT 2010»
14 years 6 months ago
Confinement of matroid representations to subsets of partial fields
Let M be a matroid representable over a (partial) field and B a matrix representable over a sub-partial field . We say that B confines M to if, whenever a -representation matrix ...
Rudi Pendavingh, Stefan H. M. van Zwam
CALCO
2007
Springer
86views Mathematics» more  CALCO 2007»
15 years 6 months ago
Bootstrapping Types and Cotypes in HasCASL
We discuss the treatment of initial datatypes and final process types in the wide-spectrum language HasCASL. In particular, we present specifications that illustrate how datatype...
Lutz Schröder
CASC
2007
Springer
108views Mathematics» more  CASC 2007»
15 years 6 months ago
Comprehensive Triangular Decomposition
We introduce the concept of comprehensive triangular decomposition (CTD) for a parametric polynomial system F with coefficients in a field. In broad words, this is a finite part...
Changbo Chen, Oleg Golubitsky, François Lem...