Add to ORKGWe prove that if a linear error correcting code C : f0; 1g is such that a bit of the message can be probabilistically reconstructed by looking at two entries of a corrupted codeword, then m = 2\Omega\Gamma n) . We also present several extensions of this result
Locally decodable codes (LDCs) are error correcting codes that allow for decoding of a single messag...
Locally decodable codes are error correcting codes with the extra property that, in order to retriev...
We consider the problem of constructing efficient locally decodable codes in the presence of a compu...
We prove that if a linear error-correcting code C:{0, 1}^n→{0, 1}^m is such that a bit of the messag...
Abstract. This paper presents essentially optimal lower bounds on the size of linear codes C: {0, 1}...
We prove that if a linear error-correcting code C: {0, 1}^n → {0, 1}^m is such that a bit of the mes...
We prove new lower bounds for locally decodable codes and private information retrieval. We show tha...
An error-correcting code is said to be locally decodable if a randomized algorithm can recover any s...
Motivated by applications to distributed storage, Gopalan et al recently introduced the interesting ...
A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such th...
An error-correcting code is said to be locally decodable if a randomized algorithm can recover any s...
Abstract A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x)...
A locally decodable code (LDC) maps $K$ source symbols, each of size $L_w$ bits, to $M$ coded symbol...
Locally decodable codes (LDCs) are error correcting codes that allow for decoding of a single messag...
A family of error-correcting codes is listdecodable from error fraction p if, for every code in the ...
Locally decodable codes (LDCs) are error correcting codes that allow for decoding of a single messag...
Locally decodable codes are error correcting codes with the extra property that, in order to retriev...
We consider the problem of constructing efficient locally decodable codes in the presence of a compu...
We prove that if a linear error-correcting code C:{0, 1}^n→{0, 1}^m is such that a bit of the messag...
Abstract. This paper presents essentially optimal lower bounds on the size of linear codes C: {0, 1}...
We prove that if a linear error-correcting code C: {0, 1}^n → {0, 1}^m is such that a bit of the mes...
We prove new lower bounds for locally decodable codes and private information retrieval. We show tha...
An error-correcting code is said to be locally decodable if a randomized algorithm can recover any s...
Motivated by applications to distributed storage, Gopalan et al recently introduced the interesting ...
A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such th...
An error-correcting code is said to be locally decodable if a randomized algorithm can recover any s...
Abstract A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x)...
A locally decodable code (LDC) maps $K$ source symbols, each of size $L_w$ bits, to $M$ coded symbol...
Locally decodable codes (LDCs) are error correcting codes that allow for decoding of a single messag...
A family of error-correcting codes is listdecodable from error fraction p if, for every code in the ...
Locally decodable codes (LDCs) are error correcting codes that allow for decoding of a single messag...
Locally decodable codes are error correcting codes with the extra property that, in order to retriev...
We consider the problem of constructing efficient locally decodable codes in the presence of a compu...