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» List Decoding for Binary Goppa Codes
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CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 5 months ago
Error Exponents of Erasure/List Decoding Revisited via Moments of Distance Enumerators
The analysis of random coding error exponents pertaining to erasure/list decoding, due to Forney, is revisited. Instead of using Jensen’s inequality as well as some other inequa...
Neri Merhav
IJNSEC
2007
118views more  IJNSEC 2007»
13 years 5 months ago
Code-based Ring Signature Scheme
McEliece is one of the oldest known public key cryptosystems, however it was not quite as successful as RSA. One main reason is that it is widely believed that code-based cryptosy...
Dong Zheng, Xiangxue Li, Kefei Chen
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 5 months ago
Explicit capacity-achieving list-decodable codes
For every 0 < R < 1 and > 0, we present an explicit construction of error-correcting codes of rate R that can be list decoded in polynomial time up to a fraction (1 - R ...
Venkatesan Guruswami, Atri Rudra
TIT
2010
136views Education» more  TIT 2010»
13 years 7 days ago
The existence of concatenated codes list-decodable up to the hamming bound
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra