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Dense locally testable codes cannot have constant rate and distance
Dense locally testable codes constant rate distance
2011/3/2
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 question is whether there ...
For an operator T ∈ B(X, Y ), we denote by am(T ), cm(T ), dm(T ), and tm(T ) its pproximation, Gelfand, Kolmogorov, and absolute numbers. We show that,for any infinite dimensional Banach spaces X and...
A new sufficient condition for sum-rate tightness in quadratic Gaussian multiterminal source coding
sufficient condition sum-rate tightness quadratic Gaussian multiterminal source coding
2010/12/3
This work considers the quadratic Gaussian multiterminal (MT) source coding problem and provides a new sufficient condition for the Berger-Tung sum-rate bound to be tight. The converse proof utilizes ...