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» Hard Problems of Algebraic Geometry Codes
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TIT
2008
83views more  TIT 2008»
13 years 4 months ago
Hard Problems of Algebraic Geometry Codes
The minimum distance is one of the most important combinatorial characterizations of a code. The maximum likelihood decoding problem is one of the most important algorithmic proble...
Qi Cheng
ICCV
2005
IEEE
13 years 10 months ago
How Hard is 3-View Triangulation Really?
We present a solution for optimal triangulation in three views. The solution is guaranteed to find the optimal solution because it computes all the stationary points of the (maxi...
Henrik Stewénius, Frederik Schaffalitzky, D...
ASIACRYPT
2001
Springer
13 years 8 months ago
Efficient Zero-Knowledge Authentication Based on a Linear Algebra Problem MinRank
A Zero-knowledge protocol provides provably secure entity authentication based on a hard computational problem. Among many schemes proposed since 1984, the most practical rely on f...
Nicolas Courtois
CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 4 months ago
Maximum-likelihood decoding of Reed-Solomon Codes is NP-hard
Maximum-likelihood decoding is one of the central algorithmic problems in coding theory. It has been known for over 25 years that maximum-likelihood decoding of general linear cod...
Venkatesan Guruswami, Alexander Vardy
CORR
2010
Springer
110views Education» more  CORR 2010»
13 years 4 months ago
Construction of Rational Surfaces Yielding Good Codes
In the present article, we consider algebraic geometry codes on some rational surfaces. The estimate of the minimum distance is translated into a point counting problem on plane cu...
Alain Couvreur