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ICALP
2005
Springer
13 years 10 months ago
Improved Lower Bounds for Locally Decodable Codes and Private Information Retrieval
We prove new lower bounds for locally decodable codes and private information retrieval. We show that a 2-query LDC encoding nbit strings over an ℓ-bit alphabet, where the decode...
Stephanie Wehner, Ronald de Wolf
EUROCRYPT
2005
Springer
13 years 10 months ago
Approximate Quantum Error-Correcting Codes and Secret Sharing Schemes
It is a standard result in the theory of quantum error-correcting codes that no code of length n can fix more than n/4 arbitrary errors, regardless of the dimension of the coding ...
Claude Crépeau, Daniel Gottesman, Adam Smit...
TIT
2002
86views more  TIT 2002»
13 years 4 months ago
A low-rate bound on the reliability of a quantum discrete memoryless channel
We extend a low-rate improvement of the random coding bound on the reliability of a classical discrete memoryless channel (DMC) to its quantum counterpart. The key observation that...
Alexander Barg
ASIACRYPT
2009
Springer
13 years 11 months ago
Security Bounds for the Design of Code-Based Cryptosystems
Code-based cryptography is often viewed as an interesting “Post-Quantum” alternative to the classical number theory cryptography. Unlike many other such alternatives, it has th...
Matthieu Finiasz, Nicolas Sendrier