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» On Unique Decodability
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ISCC
2003
IEEE
13 years 11 months ago
Fair Noiseless Broadcast Source Coding
We present a noiseless source coding problem in a broadcast environment and supply a simple solution to this problem. A transmitter wishes to transmit a binary random vector Ò ½...
Serdar Boztas
FOCS
1999
IEEE
13 years 10 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan
ECCC
1998
118views more  ECCC 1998»
13 years 6 months ago
Chinese Remaindering with Errors
The Chinese Remainder Theorem states that a positive integer m is uniquely speci ed by its remainder modulo k relatively prime integers p1;:::;pk, provided m < Qk i=1 pi. Thus ...
Oded Goldreich, Dana Ron, Madhu Sudan
FOCS
2009
IEEE
14 years 1 months ago
Agnostic Learning of Monomials by Halfspaces Is Hard
— We prove the following strong hardness result for learning: Given a distribution on labeled examples from the hypercube such that there exists a monomial (or conjunction) consi...
Vitaly Feldman, Venkatesan Guruswami, Prasad Ragha...
ICC
2008
IEEE
141views Communications» more  ICC 2008»
14 years 22 days ago
Multilevel Structured Low-Density Parity-Check Codes
— Low-Density Parity-Check (LDPC) codes are typically characterized by a relatively high-complexity description, since a considerable amount of memory is required in order to sto...
Nicholas Bonello, Sheng Chen, Lajos Hanzo