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» Subspace Polynomials and List Decoding of Reed-Solomon Codes
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ICCD
2006
IEEE
113views Hardware» more  ICCD 2006»
14 years 4 months ago
High-speed Factorization Architecture for Soft-decision Reed-Solomon Decoding
Reed-Solomon (RS) codes are among the most widely utilized error-correcting codes in modern communication and computer systems. Among the decoding algorithms of RS codes, the rece...
Xinmiao Zhang
CATS
2007
13 years 8 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
FPGA
2006
ACM
195views FPGA» more  FPGA 2006»
13 years 11 months ago
An adaptive Reed-Solomon errors-and-erasures decoder
The development of Reed-Solomon (RS) codes has allowed for improved data transmission over a variety of communication media. Although Reed-Solomon decoding provides a powerful def...
Lilian Atieno, Jonathan Allen, Dennis Goeckel, Rus...
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 8 months ago
Artin automorphisms, cyclotomic function fields, and folded list-decodable codes
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...
Venkatesan Guruswami
STOC
2000
ACM
123views Algorithms» more  STOC 2000»
13 years 11 months ago
List decoding algorithms for certain concatenated codes
We give efficient (polynomial-time) list-decoding algorithms for certain families of errorcorrecting codes obtained by "concatenation". Specifically, we give list-decodi...
Venkatesan Guruswami, Madhu Sudan