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» On the Relative Generalized Hamming Weights of Linear Codes ...
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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...
ECCC
2011
204views ECommerce» more  ECCC 2011»
12 years 8 months ago
Dense locally testable codes cannot have constant rate and distance
A q-query locally testable code (LTC) is an error correcting code that can be tested by a randomized algorithm that reads at most q symbols from the given word. An important questi...
Irit Dinur, Tali Kaufman