-
1
-
-
0001174154
-
Polynomial codes over certain finite fields
-
Reed IS and Solomon G 1960 Polynomial codes over certain finite fields SIAM J. Appl. Math. 8 300
-
(1960)
SIAM J. Appl. Math.
, vol.8
, Issue.2
, pp. 300
-
-
Reed, I.S.1
Solomon, G.2
-
3
-
-
84925405668
-
Low density parity check codes
-
Gallager R 1962 Low density parity check codes IRE Trans. Inf. Theory 8 21
-
(1962)
IRE Trans. Inf. Theory
, vol.8
, Issue.1
, pp. 21
-
-
Gallager, R.1
-
5
-
-
0030219216
-
Near Shannon limit performance of low density parity check codes
-
MacKay DJC and Neal RM 1996 Near Shannon limit performance of low density parity check codes IEE Electron. Lett. 32 1645
-
(1996)
IEE Electron. Lett.
, vol.32
, Issue.18
, pp. 1645
-
-
MacKay, D.J.C.1
Neal, R.M.2
-
6
-
-
0033099611
-
Good error-correcting codes based on very sparse matrices
-
Mackay DJ C 1999 Good error-correcting codes based on very sparse matrices IEEE Trans. Inf. Theory 45 399
-
(1999)
IEEE Trans. Inf. Theory
, vol.45
, Issue.2
, pp. 399
-
-
MacKay Dj, C.1
-
7
-
-
0035396485
-
Errata for 'good error-correcting codes based on very sparse matrices'
-
MacKay DJC 2001 Errata for 'Good error-correcting codes based on very sparse matrices' IEEE Trans. Inform. Theory 47 2101
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, Issue.5
, pp. 2101
-
-
MacKay, D.J.C.1
-
8
-
-
0041919281
-
The renaissance of Gallager's low-density parity-check codes
-
Richardson TJ and Urbanke RL 2003 The renaissance of Gallager's low-density parity-check codes IEEE Commun. Mag. 41 126
-
(2003)
IEEE Commun. Mag.
, vol.41
, Issue.8
, pp. 126
-
-
Richardson, T.J.1
Urbanke, R.L.2
-
9
-
-
0001331546
-
Spin-glass models as error-correcting codes
-
Sourlas N 1989 Spin-glass models as error-correcting codes Nature 339 693
-
(1989)
Nature
, vol.339
, Issue.6227
, pp. 693
-
-
Sourlas, N.1
-
10
-
-
0000069303
-
Finite-connectivity systems as error-correcting codes
-
Vicente R, Saad D and Kabashima Y 1999 Finite-connectivity systems as error-correcting codes Phys. Rev. E 60 5352
-
(1999)
Phys. Rev.
, vol.60
, Issue.5
, pp. 5352
-
-
Vicente, R.1
Saad, D.2
Kabashima, Y.3
-
11
-
-
0000210350
-
The glassy phase of Gallager codes
-
Montanari A 2001 The glassy phase of Gallager codes Eur. Phys. J. B 23 121
-
(2001)
Eur. Phys. J.
, vol.23
, Issue.1
, pp. 121
-
-
Montanari, A.1
-
13
-
-
0032590169
-
Statistical mechanics of error-correcting codes
-
Kabashima Y and Saad D 1999 Statistical mechanics of error-correcting codes Europhys. Lett. 45 97
-
(1999)
Europhys. Lett.
, vol.45
, Issue.1
, pp. 97
-
-
Kabashima, Y.1
Saad, D.2
-
14
-
-
0034239179
-
Statistical physics of regular low-density parity-check error-correcting codes
-
Murayama T, Kabashima Y, Saad D and Vicente R 2000 Statistical physics of regular low-density parity-check error-correcting codes Phys. Rev. E 62 1577
-
(2000)
Phys. Rev.
, vol.62
, Issue.2
, pp. 1577
-
-
Murayama, T.1
Kabashima, Y.2
Saad, D.3
Vicente, R.4
-
15
-
-
42749106258
-
Magnetisation enumerator for real valued symmetric channels in Gallager error-correcting codes
-
Skantzos NS, van Mourik J and Saad D 2003 Magnetisation enumerator for real valued symmetric channels in Gallager error-correcting codes Phys. Rev. E 67 037101
-
(2003)
Phys. Rev.
, vol.67
, Issue.3
, pp. 037101
-
-
Skantzos, N.S.1
Van Mourik, J.2
Saad, D.3
-
16
-
-
0242678314
-
Typical performance of regular low-density parity-check codes over general symmetric channels
-
Tanaka T and Saad D 2003 Typical performance of regular low-density parity-check codes over general symmetric channels J. Phys. A: Math. Gen. 36 11143
-
(2003)
J. Phys. A: Math. Gen.
, vol.36
, Issue.43
, pp. 11143
-
-
Tanaka, T.1
Saad, D.2
-
17
-
-
0034702988
-
Statistical physics of irregular low-density parity-check nodes
-
Vicente R, Saad D and Kabashima Y 2000 Statistical physics of irregular low-density parity-check nodes J. Phys. A: Math. Gen. 33 6527
-
(2000)
J. Phys. A: Math. Gen.
, vol.33
, Issue.37
, pp. 6527
-
-
Vicente, R.1
Saad, D.2
Kabashima, Y.3
-
19
-
-
33751182829
-
Statistical mechanics of error exponents for error-correcting codes
-
Mora T and Rivoire O 2006 Statistical mechanics of error exponents for error-correcting codes Phys. Rev. E 74 056110
-
(2006)
Phys. Rev.
, vol.74
, Issue.5
, pp. 056110
-
-
Mora, T.1
Rivoire, O.2
-
20
-
-
1342265651
-
Statistical mechanics of low-density parity-checks codes
-
Kabashima Y and Saad D 2004 Statistical mechanics of low-density parity-checks codes J. Phys. A: Math. Gen. 37 R1
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
, Issue.6
, pp. 1
-
-
Kabashima, Y.1
Saad, D.2
-
22
-
-
0038401954
-
The Bethe lattice spin glass revisited
-
Mézard M and Parisi G 2001 The Bethe lattice spin glass revisited Eur. Phys. J. B 20 217
-
(2001)
Eur. Phys. J.
, vol.20
, Issue.2
, pp. 217
-
-
Mézard, M.1
Parisi, G.2
-
23
-
-
33344455912
-
Finite-connectivity spin-glass phase diagrams and low-density parity check codes
-
Migliorini G and Saad D 2006 Finite-connectivity spin-glass phase diagrams and low-density parity check codes Phys. Rev. E 73 026122
-
(2006)
Phys. Rev.
, vol.73
, Issue.2
, pp. 026122
-
-
Migliorini, G.1
Saad, D.2
-
24
-
-
33747194964
-
Survey propagation for the cascading sourlas code
-
Hatchett JPL and Kabashima Y 2006 Survey propagation for the cascading sourlas code J. Phys. A: Math. Gen. 39 10659
-
(2006)
J. Phys. A: Math. Gen.
, vol.39
, Issue.34
, pp. 10659
-
-
Hatchett, J.P.L.1
Kabashima, Y.2
-
25
-
-
31344435904
-
Survey propagation at finite temperature: Application to a sourlas code as a toy model
-
Wemmenhove B and Kappen B 2006 Survey propagation at finite temperature: application to a sourlas code as a toy model J. Phys. A: Math. Gen. 39 1265
-
(2006)
J. Phys. A: Math. Gen.
, vol.39
, Issue.6
, pp. 1265
-
-
Wemmenhove, B.1
Kappen, B.2
-
30
-
-
84856043672
-
A mathematical theory of communication
-
Shannon CE 1948 A mathematical theory of communication Bell Syst. Tech. J. 27 379 623
-
(1948)
Bell Syst. Tech. J.
, vol.27
, pp. 379
-
-
Shannon, C.E.1
-
33
-
-
0033612060
-
The Nishimori line and bayesian statistics
-
Iba Y 1999 The Nishimori line and bayesian statistics J. Phys. A: Math. Gen. 32 3875
-
(1999)
J. Phys. A: Math. Gen.
, vol.32
, Issue.21
, pp. 3875
-
-
Iba, Y.1
-
35
-
-
0000244178
-
Internal energy, specific heat and correlation function of the bond-random Ising model
-
Nishimori H 1981 Internal energy, specific heat and correlation function of the bond-random Ising model J. Phys. Soc. Japan 66 1169
-
(1981)
J. Phys. Soc. Japan
, vol.66
, pp. 1169
-
-
Nishimori, H.1
-
36
-
-
21344477135
-
Optimum decoding temperature for error-correcting codes
-
Nishimori H 1993 Optimum decoding temperature for error-correcting codes J. Phys. Soc. Japan 62 2973
-
(1993)
J. Phys. Soc. Japan
, vol.62
, Issue.9
, pp. 2973
-
-
Nishimori, H.1
-
37
-
-
1842481669
-
On the application of ldpc codes to arbitrary discrete-memoryless channels
-
Bennatan A and Burstein D 2004 On the application of ldpc codes to arbitrary discrete-memoryless channels IEEE Trans. Inf. Theory 50 417
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.3
, pp. 417
-
-
Bennatan, A.1
Burstein, D.2
-
38
-
-
35949021286
-
Thermodynamic origin of order parameters in mean-field models of spin glasses
-
Derrida B 1980 Thermodynamic origin of order parameters in mean-field models of spin glasses Phys. Rev. Lett. 45 79
-
(1980)
Phys. Rev. Lett.
, vol.45
, Issue.2
, pp. 79
-
-
Derrida, B.1
-
39
-
-
0039768792
-
Universality classes for extreme value statistics
-
Bouchaud JP and Mézard M 1997 Universality classes for extreme value statistics J. Phys. A: Math. Gen. 30 7997
-
(1997)
J. Phys. A: Math. Gen.
, vol.30
, Issue.23
, pp. 7997
-
-
Bouchaud, J.P.1
Mézard, M.2
-
41
-
-
0001775471
-
Mean-field theory of spin-glasses with finite coordination number
-
Kanter I and Sompolinsky H 1987 Mean-field theory of spin-glasses with finite coordination number Phys. Rev. Lett. 58 164
-
(1987)
Phys. Rev. Lett.
, vol.58
, Issue.2
, pp. 164
-
-
Kanter, I.1
Sompolinsky, H.2
-
42
-
-
0040445062
-
Graph bipartitioning and spin glasses on a random network of fixed finite valence
-
Wong KYM and Sherrington D 1987 Graph bipartitioning and spin glasses on a random network of fixed finite valence J. Phys. A: Math. Gen. 20 L793
-
(1987)
J. Phys. A: Math. Gen.
, vol.20
, Issue.12
, pp. 793
-
-
Wong, K.Y.M.1
Sherrington, D.2
-
44
-
-
0242565431
-
Two solutions to diluted p-spin models and xorsat problems
-
Mézard M, Ricci-Tersenghi F and Zecchina R 2003 Two solutions to diluted p-spin models and xorsat problems J. Stat. Phys. 111 505
-
(2003)
J. Stat. Phys.
, vol.111
, Issue.3-4
, pp. 505
-
-
Mézard, M.1
Ricci-Tersenghi, F.2
Zecchina, R.3
-
45
-
-
0001240288
-
Spin glasses with p-spin interactions
-
Gardner E 1985 Spin glasses with p-spin interactions Nucl. Phys. B 257 747
-
(1985)
Nucl. Phys.
, vol.257
, pp. 747
-
-
Gardner, E.1
-
46
-
-
0035797649
-
A ferromagnet with a glass transition
-
Franz S, Mézard M, Ricci-Tersenghi F, Weigt M and Zecchina R 2001 A ferromagnet with a glass transition Europhys. Lett. 55 465
-
(2001)
Europhys. Lett.
, vol.55
, Issue.4
, pp. 465
-
-
Franz, S.1
Mézard, M.2
Ricci-Tersenghi, F.3
Weigt, M.4
Zecchina, R.5
-
47
-
-
37649032703
-
Frozen glass phase in the multi-index matching problem
-
Martin OC, Mézard M and Rivoire O 2004 Frozen glass phase in the multi-index matching problem Phys. Rev. Lett. 93 217205
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.21
, pp. 217205
-
-
Martin, O.C.1
Mézard, M.2
Rivoire, O.3
-
48
-
-
31444443182
-
A survey of max-type recursive distributional equations
-
Aldous DJ and Bandyopadhyay A 2005 A survey of max-type recursive distributional equations Ann. Appl. Probab. 15 1047
-
(2005)
Ann. Appl. Probab.
, vol.15
, Issue.2
, pp. 1047
-
-
Aldous, D.J.1
Bandyopadhyay, A.2
-
49
-
-
23844490573
-
-
Rivoire O 2005 Phases Vitreuses, Optimisation et Grandes Déviations PhD Thesis Université Paris-Sud
-
(2005)
PhD Thesis
-
-
Rivoire, O.1
-
51
-
-
0040426391
-
Optimization problems and replica symmetry breaking in the finite connectivity spin glasses
-
Monasson R 1998 Optimization problems and replica symmetry breaking in the finite connectivity spin glasses J. Phys. A: Math. Gen. 31 513
-
(1998)
J. Phys. A: Math. Gen.
, vol.31
, Issue.2
, pp. 513
-
-
Monasson, R.1
-
52
-
-
0242481661
-
On the nature of the low-temperature phase in discontinuous mean-field spin glasses
-
Montanari A and Ricci-Tersenghi F 2003 On the nature of the low-temperature phase in discontinuous mean-field spin glasses Eur. Phys. J. B 33 339
-
(2003)
Eur. Phys. J.
, vol.33
, Issue.3
, pp. 339
-
-
Montanari, A.1
Ricci-Tersenghi, F.2
-
53
-
-
84860104474
-
Cavity method for supersymmetry-breaking spin glasses
-
Cavagna A, Giardina I and Parisi G 2005 Cavity method for supersymmetry-breaking spin glasses Phys. Rev. B 71 024422
-
(2005)
Phys. Rev.
, vol.71
, Issue.2
, pp. 024422
-
-
Cavagna, A.1
Giardina, I.2
Parisi, G.3
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