Sciweavers

19 search results - page 3 / 4
» List Decoding for Binary Goppa Codes
Sort
View
COCOON
2009
Springer
14 years 25 days ago
Limits to List Decoding Random Codes
It has been known since [Zyablov and Pinsker 1982] that a random q-ary code of rate 1 − Hq(ρ) − ε (where 0 < ρ < 1 − 1/q, ε > 0 and Hq(·) is the q-ary entropy ...
Atri Rudra
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
JSAC
2010
180views more  JSAC 2010»
13 years 1 months ago
List Decoding Techniques for Intersymbol Interference Channels Using Ordered Statistics
In this paper, we present a generalization of the ordered statistics decoding (OSD) techniques for the class of intersymbol interference (ISI) channels, and show decoding results f...
Fabian Lim, Aleksandar Kavcic, Marc P. C. Fossorie...
STOC
2009
ACM
161views Algorithms» more  STOC 2009»
14 years 6 months ago
List decoding tensor products and interleaved codes
We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. ? We show that for every code, the rat...
Parikshit Gopalan, Venkatesan Guruswami, Prasad Ra...
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 6 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