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TIT
2002
56views more  TIT 2002»
14 years 9 months ago
Improvement of Ashikhmin-Litsyn-Tsfasman bound for quantum codes
Ryutaroh Matsumoto
ICALP
2005
Springer
15 years 3 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
15 years 3 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»
14 years 9 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
15 years 4 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