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» List Decodability at Small Radii
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CORR
2010
Springer
91views Education» more  CORR 2010»
13 years 6 months ago
List Decodability at Small Radii
A (n,d,e), the smallest for which every binary error-correcting code of length n and minimum distance d is decodable with a list of size up to radius e, is determined for all d 2e...
Yeow Meng Chee, Gennian Ge, Lijun Ji, San Ling, Ji...
CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 6 months ago
Bounds for binary codes relative to pseudo-distances of k points
We apply Schrijver's semidefinite programming method to obtain improved upper bounds on generalized distances and list decoding radii of binary codes.
Christine Bachoc, Gilles Zémor
CATS
2007
13 years 7 months ago
Quantum List Decoding from Quantumly Corrupted Codewords for Classical Block Codes of Polynomially Small Rate
d Abstract) Tomoyuki Yamakami Department of Computer Software, University of Aizu 90 Kami-Iawase, Tsuruga, Ikki-machi, Fukushima 965-8580, Japan Our task of quantum list decoding ...
Tomoyuki Yamakami
APPROX
2005
Springer
111views Algorithms» more  APPROX 2005»
13 years 11 months ago
A Lower Bound on List Size for List Decoding
A q-ary error-correcting code C ⊆ {1, 2, . . . , q}n is said to be list decodable to radius ρ with list size L if every Hamming ball of radius ρ contains at most L codewords o...
Venkatesan Guruswami, Salil P. Vadhan
CORR
2010
Springer
131views Education» more  CORR 2010»
13 years 4 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