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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»
15 years 7 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
14 years 11 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
94
Voted
FPGA
2006
ACM
195views FPGA» more  FPGA 2006»
15 years 1 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...
74
Voted
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
15 years 10 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
78
Voted
STOC
2000
ACM
123views Algorithms» more  STOC 2000»
15 years 1 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