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» Combinatorial bounds for list decoding
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DCC
2010
IEEE
13 years 2 months ago
Parameter choices and a better bound on the list size in the Guruswami-Sudan algorithm for algebraic geometry codes
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Nathan Drake, Gretchen L. Matthews
TIT
2008
110views more  TIT 2008»
13 years 7 months ago
Explicit Codes Achieving List Decoding Capacity: Error-Correction With Optimal Redundancy
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
Venkatesan Guruswami, Atri Rudra
TIT
2008
90views more  TIT 2008»
13 years 7 months ago
An Improved Sphere-Packing Bound for Finite-Length Codes Over Symmetric Memoryless Channels
This paper derives an improved sphere-packing (ISP) bound for finite-length error-correcting codes whose transmission takes place over symmetric memoryless channels, and the codes...
Gil Wiechman, Igal Sason
CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 7 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
SIGECOM
2008
ACM
155views ECommerce» more  SIGECOM 2008»
13 years 7 months ago
Tight information-theoretic lower bounds for welfare maximization in combinatorial auctions
We provide tight information-theoretic lower bounds for the welfare maximization problem in combinatorial auctions. In this problem, the goal is to partition m items among k bidde...
Vahab S. Mirrokni, Michael Schapira, Jan Vondr&aac...