-
2
-
-
0017973512
-
On the intractability of certain coding problems
-
May
-
E. R. Berlekamp, R. J. McEliece, and H. C. A. van Tilborg, "On the intractability of certain coding problems," IEEE Trans. Inform. Theory, vol. IT-24, pp. 384-386, May 1978.
-
(1978)
IEEE Trans. Inform. Theory
, vol.IT-24
, pp. 384-386
-
-
Berlekamp, E.R.1
McEliece, R.J.2
van Tilborg, H.C.A.3
-
3
-
-
0001398327
-
Good quantum error-correcting codes exist
-
A. R. Calderbank and P. W. Shor, "Good quantum error-correcting codes exist," Phys. Rev. A, vol. 54, pp. 1098-1106, 1996.
-
(1996)
Phys. Rev. A
, vol.54
, pp. 1098-1106
-
-
Calderbank, A.R.1
Shor, P.W.2
-
6
-
-
0035981729
-
Topological quantum memory
-
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, "Topological quantum memory," J. Math. Phys., vol. 43, pp. 4452-4505, 2002.
-
(2002)
J. Math. Phys.
, vol.43
, pp. 4452-4505
-
-
Dennis, E.1
Kitaev, A.2
Landahl, A.3
Preskill, J.4
-
8
-
-
84925405668
-
Low density parity check codes
-
Jan
-
R. G. Gallager, "Low density parity check codes," IRE Trans. Inform. Theory, vol. IT-8, pp. 21-28, Jan. 1962.
-
(1962)
IRE Trans. Inform. Theory
, vol.IT-8
, pp. 21-28
-
-
Gallager, R.G.1
-
9
-
-
0003595298
-
-
Cambridge, MA: MIT Press, Number 21 in MIT Research monograph series. Available from
-
R. G. Gallager, Low Density Parity Check Codes. Cambridge, MA: MIT Press, 1963. Number 21 in MIT Research monograph series. Available from www.inference.phy.cam.ac.uk/mackay/gallager/papers.
-
(1963)
Low Density Parity Check Codes
-
-
Gallager, R.G.1
-
11
-
-
0036354269
-
Graphs, quadratic forms, and quantum codes
-
Lausanne, Switzerland, June/July
-
M. Grassl, A. Klappenecker, and M. Rötteler, "Graphs, quadratic forms, and quantum codes," in Proc. IEEE Int. Symp. Information Theory, Lausanne, Switzerland, June/July 2002, p. 45.
-
(2002)
Proc. IEEE Int. Symp. Information Theory
, pp. 45
-
-
Grassl, M.1
Klappenecker, A.2
Rötteler, M.3
-
12
-
-
0000153039
-
A semi-systolic decoder for the PDSC-73 error-correcting code
-
K. Karplus and H. Krit, "A semi-systolic decoder for the PDSC-73 error-correcting code," Discr. Appl. Math., vol. 33, pp. 109-128, 1991.
-
(1991)
Discr. Appl. Math.
, vol.33
, pp. 109-128
-
-
Karplus, K.1
Krit, H.2
-
13
-
-
0037268624
-
Fault-tolerant quantum computation by anyons
-
A. Y. Kitaev, "Fault-tolerant quantum computation by anyons," Ann. Phys., vol. 303, pp. 2-30, 2003.
-
(2003)
Ann. Phys.
, vol.303
, pp. 2-30
-
-
Kitaev, A.Y.1
-
14
-
-
0035395806
-
Asymptotically good quantum codes exceeding the Ashikhmin-Litsyn-Tsfasman bound
-
July
-
S. Ling, H. Chen, and C. Xing, "Asymptotically good quantum codes exceeding the Ashikhmin-Litsyn-Tsfasman bound," IEEE Trans. Inform. Theory, vol. 47, pp. 2055-2058, July 2001.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 2055-2058
-
-
Ling, S.1
Chen, H.2
Xing, C.3
-
15
-
-
0036539259
-
On ensembles of low-density parity-check codes: Asymptotic distance distributions
-
Apr
-
S. Litsyn and V. Shevelev, "On ensembles of low-density parity-check codes: Asymptotic distance distributions," IEEE Trans. Inform. Theory, vol. 48, pp. 887-908, Apr. 2002.
-
(2002)
IEEE Trans. Inform. Theory
, vol.48
, pp. 887-908
-
-
Litsyn, S.1
Shevelev, V.2
-
17
-
-
0035246580
-
Improved low-density parity-check codes using irregular graphs and belief propagation
-
Feb
-
M. G. Luby, M. Mitzenmacher, M. A. Shokrollahi, and D. A. Spielman, "Improved low-density parity-check codes using irregular graphs and belief propagation," IEEE Trans. Inform. Theory, vol. 47, pp. 585-598, Feb. 2001.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 585-598
-
-
Luby, M.G.1
Mitzenmacher, M.2
Shokrollahi, M.A.3
Spielman, D.A.4
-
18
-
-
0034206426
-
Iterative decoding of one-step majority logic decodable codes based on belief propagation
-
June
-
R. Lucas, M. Fossorier, Y. Kou, and S. Lin, "Iterative decoding of one-step majority logic decodable codes based on belief propagation," IEEE Trans. Commun., vol. 48, pp. 931-937, June 2000.
-
(2000)
IEEE Trans. Commun.
, vol.48
, pp. 931-937
-
-
Lucas, R.1
Fossorier, M.2
Kou, Y.3
Lin, S.4
-
19
-
-
0033099611
-
Good error correcting codes based on very sparse matrices
-
Mar
-
D. J. C. MacKay, "Good error correcting codes based on very sparse matrices," IEEE Trans. Inform. Theory, vol. 45, pp. 399-431, Mar. 1999.
-
(1999)
IEEE Trans. Inform. Theory
, vol.45
, pp. 399-431
-
-
MacKay, D.J.C.1
-
20
-
-
0004272772
-
-
Cambridge, U.K.: Cambridge Univ. Press, Available from
-
D. J. C. MacKay, Information Theory, Inference, and Learning Algorithms. Cambridge, U.K.: Cambridge Univ. Press, 2003. Available from www.inference.phy.cam.ac.uk/mackay/itila.
-
(2003)
Information Theory, Inference, and Learning Algorithms
-
-
MacKay, D.J.C.1
-
21
-
-
0000199830
-
Evaluation of Gallager codes for short block length and high rate applications
-
B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, IMA Volumes in Mathematics and its Applications
-
D. J. C. MacKay and M. C. Davey, "Evaluation of Gallager codes for short block length and high rate applications," in Codes, Systems and Graphical Models, B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, 2000, vol. 123, IMA Volumes in Mathematics and its Applications, pp. 113-130.
-
(2000)
Codes, Systems and Graphical Models
, vol.123
, pp. 113-130
-
-
MacKay, D.J.C.1
Davey, M.C.2
-
23
-
-
0030219216
-
Near Shannon limit performance of low density parity check codes
-
Aug
-
D. J. C. MacKay and R. M. Neal, "Near Shannon limit performance of low density parity check codes," Electron. Lett., vol. 32, no. 18, pp. 1645-1646, Aug. 1996.
-
(1996)
Electron. Lett.
, vol.32
, Issue.18
, pp. 1645-1646
-
-
MacKay, D.J.C.1
Neal, R.M.2
-
24
-
-
23844506274
-
Weaknesses of Margulis and Ramanujan-Margulis low-density parity-check codes
-
Amsterdam, The Netherlands: Elsevier
-
D. J. C. MacKay and M. J. Postol, "Weaknesses of Margulis and Ramanujan-Margulis low-density parity-check codes," in Proc. MFCSIT2002, Galway (Electronic Notes in Theoretical Computer Science). Amsterdam, The Netherlands: Elsevier, 2003, vol. 74.
-
(2003)
Proc. MFCSIT2002, Galway (Electronic Notes in Theoretical Computer Science)
, pp. 74
-
-
MacKay, D.J.C.1
Postol, M.J.2
-
25
-
-
0036649704
-
Improvement of Ashikhmin-Litsyn-Tsfasman bound for quantum codes
-
July
-
R. Matsumoto, "Improvement of Ashikhmin-Litsyn-Tsfasman bound for quantum codes," IEEE Trans. Inform. Theory, vol. 48, pp. 2122-2124, July 2002.
-
(2002)
IEEE Trans. Inform. Theory
, vol.48
, pp. 2122-2124
-
-
Matsumoto, R.1
-
29
-
-
0035246127
-
Design of capacity-approaching irregular low-density parity check codes
-
Feb
-
T. Richardson, M. A. Shokrollahi, and R. Urbanke, "Design of capacity-approaching irregular low-density parity check codes," IEEE Trans. Inform. Theory, vol. 47, pp. 619-537, Feb. 2001.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 537-619
-
-
Richardson, T.1
Shokrollahi, M.A.2
Urbanke, R.3
-
30
-
-
0035246307
-
The capacity of low-density parity check codes under message-passing decoding
-
Feb
-
T. Richardson and R. Urbanke, "The capacity of low-density parity check codes under message-passing decoding," IEEE Trans. Inform. Theory, vol. 47, pp. 599-618, Feb. 2001.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 599-618
-
-
Richardson, T.1
Urbanke, R.2
-
31
-
-
0035246320
-
Efficient encoding of low-density parity-check codes
-
Feb
-
T. Richardson, "Efficient encoding of low-density parity-check codes," IEEE Trans. Inform. Theory, vol. 47, pp. 638-656, Feb. 2001.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 638-656
-
-
Richardson, T.1
-
32
-
-
0242634028
-
Stabilizer codes can be realized as graph codes
-
D. Schlingemann and R. F. Werner, "Stabilizer codes can be realized as graph codes," Quant. Inf. Comp., vol. 2, pp. 307-323, 2002.
-
(2002)
Quant. Inf. Comp.
, vol.2
, pp. 307-323
-
-
Schlingemann, D.1
Werner, R.F.2
-
33
-
-
33746738958
-
Scheme for reducing decoherence in quantum computer memory
-
P. W. Shor, "Scheme for reducing decoherence in quantum computer memory," Phys. Rev. A, vol. 52R, pp. 2493-2496, 1995.
-
(1995)
Phys. Rev. A
, vol.52 R
, pp. 2493-2496
-
-
Shor, P.W.1
-
34
-
-
0007244732
-
Multiple particle interference and quantum error correction
-
A. Steane, "Multiple particle interference and quantum error correction," Proc. Roy. Soc. London A, vol. 452, pp. 2551-2577, 1996.
-
(1996)
Proc. Roy. Soc. London A
, vol.452
, pp. 2551-2577
-
-
Steane, A.1
-
35
-
-
0032606638
-
Enlargement of Calderbank-Shor-Steane quantum codes
-
Nov
-
A. Steane, "Enlargement of Calderbank-Shor-Steane quantum codes," IEEE Trans. Inform. Theory, vol. 45, pp. 2492-2495, Nov. 1999.
-
(1999)
IEEE Trans. Inform. Theory
, vol.45
, pp. 2492-2495
-
-
Steane, A.1
-
36
-
-
5144231855
-
Quantum computing and error correction
-
P. Turchi and A. Gonis, Eds. Amsterdam, The Netherlands: IOS Press, NATO Science Series: Computer and Systems Sciences
-
A. Steane, "Quantum computing and error correction," in Decoherence and its Implications in Quantum Computation and Information Transfer, P. Turchi and A. Gonis, Eds. Amsterdam, The Netherlands: IOS Press, 2001, vol. 182, NATO Science Series: Computer & Systems Sciences, pp. 284-298.
-
(2001)
Decoherence and Its Implications in Quantum Computation and Information Transfer
, vol.182
, pp. 284-298
-
-
Steane, A.1
-
38
-
-
0142016107
-
Constructing free energy approximations and generalized belief propagation algorithms
-
Tech. Rep. TR-2002-35
-
J. S. Yedidia, W. T. Freeman, and Y. Weiss, "Constructing free energy approximations and generalized belief propagation algorithms," Mitsubishi Electric Res. Lab., Tech. Rep. TR-2002-35,
-
(2002)
Mitsubishi Electric Res. Lab.
-
-
Yedidia, J.S.1
Freeman, W.T.2
Weiss, Y.3
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