160 search results - page 3 / 32 » On the List-Decodability of Random Linear Codes |
ESA
2000
Springer
13 years 10 months ago
2000
Springer
Abstract. We show that all algebraic-geometric codes possess a succinct representation that allows for the list decoding algorithms of [15, 7] to run in polynomial time. We do this...
CORR
2007
Springer
13 years 6 months ago
2007
Springer
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...
TIT
2010
13 years 1 months ago
2010
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...
STOC
2004
ACM
14 years 6 months ago
2004
ACM
We present an explicit construction of codes that can be list decoded from a fraction (1 - ) of errors in sub-exponential time and which have rate / logO(1) (1/). This comes close...
FOCS
2002
IEEE
13 years 11 months ago
2002
IEEE
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...