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» 3-query locally decodable codes of subexponential length
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ICC
2007
IEEE
14 years 2 months ago
A Multirate code for wired Local Area Networks
— A matrix is described that transforms input vectors (blocks) of length (K − 2), consisting of digital PAM vector components, into output vectors (blocks) of length K. The mat...
J. Alexander Peek, J. B. Hans Peek
ICMCS
2005
IEEE
82views Multimedia» more  ICMCS 2005»
14 years 1 months ago
Globally Optimal Uneven Erasure-Protected Multi-Group Packetization of Scalable Codes
We study the problem of rate-distortion optimal packetization with uneven erasure protection (UEP) of scalable source sequence, into multiple groups of packets. The grouping of pa...
Sorina Dumitrescu, Xiaolin Wu
ECCC
2010
122views more  ECCC 2010»
13 years 6 months ago
Query Complexity Lower Bounds for Reconstruction of Codes
We investigate the problem of local reconstruction, as defined by Saks and Seshadhri (2008), in the context of error correcting codes. The first problem we address is that of me...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah
STACS
2009
Springer
14 years 2 months ago
Error-Correcting Data Structures
We study data structures in the presence of adversarial noise. We want to encode a given object in a succinct data structure that enables us to efficiently answer specific queries...
Ronald de Wolf
STOC
2009
ACM
133views Algorithms» more  STOC 2009»
14 years 8 months ago
New direct-product testers and 2-query PCPs
The "direct product code" of a function f gives its values on all k-tuples (f(x1), . . . , f(xk)). This basic construct underlies "hardness amplification" in c...
Russell Impagliazzo, Valentine Kabanets, Avi Wigde...