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» The Proof Complexity of Linear Algebra
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ISSAC
2007
Springer
131views Mathematics» more  ISSAC 2007»
14 years 2 months ago
Some recent progress in exact linear algebra and related questions
We describe some major recent progress in exact and symbolic linear algebra. These advances concern the improvement of complexity estimates for fundamental problems such as linear...
Gilles Villard
JACM
2010
116views more  JACM 2010»
13 years 6 months ago
The complexity of temporal constraint satisfaction problems
A temporal constraint language is a set of relations that has a first-order definition in (Q, <), the dense linear order of the rational numbers. We present a complete comple...
Manuel Bodirsky, Jan Kára
COCO
1993
Springer
133views Algorithms» more  COCO 1993»
14 years 3 hour ago
On Span Programs
We introduce a linear algebraic model of computation, the Span Program, and prove several upper and lower bounds on it. These results yield the following applications in complexit...
Mauricio Karchmer, Avi Wigderson
TCC
2007
Springer
170views Cryptology» more  TCC 2007»
14 years 2 months ago
Secure Linear Algebra Using Linearly Recurrent Sequences
In this work we present secure two-party protocols for various core problems in linear algebra. Our main result is a protocol to obliviously decide singularity of an encrypted matr...
Eike Kiltz, Payman Mohassel, Enav Weinreb, Matthew...
ACISP
2006
Springer
14 years 1 months ago
On Exact Algebraic [Non-]Immunity of S-Boxes Based on Power Functions
In this paper we are interested in algebraic immunity of several well known highly-nonlinear vectorial Boolean functions (or Sboxes), designed for block and stream ciphers. Unfortu...
Nicolas Courtois, Blandine Debraize, Eric Garrido