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» Parallel error correcting codes
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83
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TIT
2008
84views more  TIT 2008»
15 years 10 days ago
Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel
Error correction procedures are considered which are designed specifically for the amplitude damping channel. Amplitude damping errors are analyzed in the stabilizer formalism. Thi...
Andrew S. Fletcher, Peter W. Shor, Moe Z. Win
92
Voted
EUROCRYPT
2005
Springer
15 years 6 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...
92
Voted
ECCC
2010
79views more  ECCC 2010»
15 years 16 days ago
IP = PSPACE using Error Correcting Codes
The IP theorem, which asserts that IP = PSPACE (Lund et. al., and Shamir, in J. ACM 39(4)), is one of the major achievements of complexity theory. The known proofs of the theorem ...
Or Meir
ICICS
2001
Springer
15 years 4 months ago
Cryptanalysis of the Hwang-Rao Secret Error-Correcting Code Schemes
Abstract. In this paper, the cryptanalytic strength of two HwangRao Secret Error-Correcting Code (SECC) schemes is examined under a known-plaintext attack. In particular, we found ...
Kencheng Zeng, Chung-Huang Yang, T. R. N. Rao
101
Voted
TIT
2008
87views more  TIT 2008»
15 years 10 days ago
On Correcting Bursts (and Random Errors) in Vector Symbol (n, k) Cyclic Codes
Simple methods are shown for correcting bursts of large size and bursts combined with random errors using vector symbols and primarily vector XOR and feedback shift register operat...
John J. Metzner