-
1
-
-
2642581618
-
Decoding Error-Correcting Codes Via Linear Programming,
-
Ph.D. dissertation, MIT, Cambridge, MA
-
J. Feldman, "Decoding Error-Correcting Codes Via Linear Programming," Ph.D. dissertation, MIT, Cambridge, MA, 2003.
-
(2003)
-
-
Feldman, J.1
-
2
-
-
15044355718
-
Using linear programming to decode binary linear codes
-
Mar
-
J. Feldman, M. J. Wainwright, and D. R. Karger, "Using linear programming to decode binary linear codes," IEEE Trans. Inf. Theory vol. 51, no. 3, pp. 954-972, Mar. 2005.
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.3
, pp. 954-972
-
-
Feldman, J.1
Wainwright, M.J.2
Karger, D.R.3
-
3
-
-
0035246307
-
The capacity of low-density parity-check codes under message-passing decoding
-
Feb
-
T. J. Richardson and R. L. Urbanke, "The capacity of low-density parity-check codes under message-passing decoding," IEEE Trans. on Inform. Theory, vol. 47, no. 2, pp. 599-618, Feb. 2001.
-
(2001)
IEEE Trans. on Inform. Theory
, vol.47
, Issue.2
, pp. 599-618
-
-
Richardson, T.J.1
Urbanke, R.L.2
-
5
-
-
5044250397
-
Graph covers and iterative decoding of finite-length codes
-
Brest, France, Sep
-
R. Koetter and P. O. Vontobel, "Graph covers and iterative decoding of finite-length codes," in Proc. 3rd Int. Symp. Turbo Codes and Related Topics, Brest, France, Sep. 2003, pp. 75-82.
-
(2003)
Proc. 3rd Int. Symp. Turbo Codes and Related Topics
, pp. 75-82
-
-
Koetter, R.1
Vontobel, P.O.2
-
6
-
-
84888034719
-
Graph-cover decoding and finite-length analysis of message-passing iterative decoding of LDPC codes
-
Online. Available:, submitted for publication
-
P. O. Vontobel and R. Koetter, "Graph-cover decoding and finite-length analysis of message-passing iterative decoding of LDPC codes," IEEE Trans. Inf. Theory Online. Available: http://www.arxiv.org/abs/cs.IT/0512078, submitted for publication
-
IEEE Trans. Inf. Theory
-
-
Vontobel, P.O.1
Koetter, R.2
-
7
-
-
33746626860
-
On the relationship between linear programming decoding and min-sum algorithm decoding
-
Parma, Italy, Oct
-
P. O. Vontobel and R. Koetter, "On the relationship between linear programming decoding and min-sum algorithm decoding," in Proc. Int. Symp. Information Theory and its Applications (ISITA), Parma, Italy, Oct. 2004, pp. 991-996.
-
(2004)
Proc. Int. Symp. Information Theory and its Applications (ISITA)
, pp. 991-996
-
-
Vontobel, P.O.1
Koetter, R.2
-
8
-
-
0034206426
-
Iterative decoding of one-step majority logic decodable codes based on belief propagation
-
Jun
-
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, no. 6, pp. 931-937, Jun. 2000.
-
(2000)
IEEE Trans. Commun
, vol.48
, Issue.6
, pp. 931-937
-
-
Lucas, R.1
Fossorier, M.2
Kou, Y.3
Lin, S.4
-
9
-
-
0035504019
-
Low-density parity-check codes based on finite geometries: A rediscovery and new results
-
Nov
-
Y. Kou, S. Lin, and M. P. C. Fossorier, "Low-density parity-check codes based on finite geometries: A rediscovery and new results," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 2711-2736, Nov. 2001.
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, Issue.7
, pp. 2711-2736
-
-
Kou, Y.1
Lin, S.2
Fossorier, M.P.C.3
-
11
-
-
33745673169
-
Projective Geometries over Finite Fields
-
2nd ed. New York: Clarendon/Oxford Univ. Press
-
J. W. P. Hirschfeld, Projective Geometries over Finite Fields, ser. Oxford Mathematical Monographs, 2nd ed. New York: Clarendon/Oxford Univ. Press, 1998.
-
(1998)
ser. Oxford Mathematical Monographs
-
-
Hirschfeld, J.W.P.1
-
12
-
-
0019608335
-
A recursive approach to low-complexity codes
-
Sep
-
R. M. Tanner, "A recursive approach to low-complexity codes," IEEE Trans. Inf. Theory, vol. IT-27, no. 5, pp. 533-547, Sep. 1981.
-
(1981)
IEEE Trans. Inf. Theory
, vol.IT-27
, Issue.5
, pp. 533-547
-
-
Tanner, R.M.1
-
13
-
-
0029769150
-
Voronoi regions for binary linear block codes
-
Jan
-
E. Agrell, "Voronoi regions for binary linear block codes," IEEE Trans. Inf. Theory, vol. 42, no. 1, pp. 310-316, Jan. 1996.
-
(1996)
IEEE Trans. Inf. Theory
, vol.42
, Issue.1
, pp. 310-316
-
-
Agrell, E.1
-
14
-
-
0003334530
-
Geometry of Cuts and Metrics
-
Berlin, Germany: Springer-Verlag
-
M. M. Deza and M. Laurent, Geometry of Cuts and Metrics, ser. Algorithms and Combinatorics. Berlin, Germany: Springer-Verlag, 1997, vol. 15.
-
(1997)
ser. Algorithms and Combinatorics
, vol.15
-
-
Deza, M.M.1
Laurent, M.2
-
15
-
-
0018544749
-
Decoding linear block codes for minimizing word error rate
-
Nov
-
T. Y. Hwang, "Decoding linear block codes for minimizing word error rate," IEEE Trans. Inf. Theory, vol. IT-25, no. 6, pp. 733-737, Nov. 1979.
-
(1979)
IEEE Trans. Inf. Theory
, vol.IT-25
, Issue.6
, pp. 733-737
-
-
Hwang, T.Y.1
-
17
-
-
0348104460
-
Minimal codewords and secret sharing
-
Mölle, Sweden, Aug
-
J. L. Massey, "Minimal codewords and secret sharing," in Proc. 6th Joint Swedish-Russian Int. Workshop on Information Theory, Mölle, Sweden, Aug. 1993, pp. 276-279.
-
(1993)
Proc. 6th Joint Swedish-Russian Int. Workshop on Information Theory
, pp. 276-279
-
-
Massey, J.L.1
-
18
-
-
0032165566
-
Minimal vectors in linear codes
-
Sep
-
A. Ashikhmin and A. Barg, "Minimal vectors in linear codes," IEEE Trans. Inf. Theory, vol. 44, no. 5, pp. 2010-2017, Sep. 1998.
-
(1998)
IEEE Trans. Inf. Theory
, vol.44
, Issue.5
, pp. 2010-2017
-
-
Ashikhmin, A.1
Barg, A.2
-
19
-
-
34447312678
-
Variations on minimal codewords in linear codes
-
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes Paris, Berlin, Germany: Springer-Verlag
-
A. Ashikhmin, A. Barg, G. Cohen, and L. Huguet, "Variations on minimal codewords in linear codes," in Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (Paris, 1995) (Lecture Notes in Computer Science). Berlin, Germany: Springer-Verlag, 1995, vol. 948, pp. 96-105.
-
(1995)
Lecture Notes in Computer Science
, vol.948
, pp. 96-105
-
-
Ashikhmin, A.1
Barg, A.2
Cohen, G.3
Huguet, L.4
-
20
-
-
34247259422
-
Characterizations of pseudo-codewords of LDPC codes
-
Aug
-
R. Koetter, W.-C. W. Li, P. O. Vontobel, and J. L.Walker, "Characterizations of pseudo-codewords of LDPC codes," Adv. Math. vol. 213, no. 1, pp. 205-229, Aug. 2007.
-
(2007)
Adv. Math
, vol.213
, Issue.1
, pp. 205-229
-
-
Koetter, R.1
Li, W.-C.W.2
Vontobel, P.O.3
Walker, J.L.4
-
21
-
-
0003846836
-
Codes and decoding on general graphs,
-
Ph.D. dissertation, Linköping Univ, Linköping, Sweden
-
N. Wiberg, "Codes and decoding on general graphs," Ph.D. dissertation, Linköping Univ., Linköping, Sweden, 1996.
-
(1996)
-
-
Wiberg, N.1
-
22
-
-
34447344426
-
-
G. D. Forney, Jr., R.Koetter, F. R. Kschischang, and A. Reznik, On the effective weights of pseudocodewords for codes defined on graphs with cycles, in Codes, Systems, and Graphical Models (Minneapolis, MN, 1999), B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, 2001, 123, pp. 101-112.
-
G. D. Forney, Jr., R.Koetter, F. R. Kschischang, and A. Reznik, "On the effective weights of pseudocodewords for codes defined on graphs with cycles," in Codes, Systems, and Graphical Models (Minneapolis, MN, 1999), B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, 2001, vol. 123, pp. 101-112.
-
-
-
-
24
-
-
5044247072
-
Lower bounds on the minimum pseudo-weight of linear codes
-
Chicago, IL, Jun
-
P. O.Vontobel and R.Koetter, "Lower bounds on the minimum pseudo-weight of linear codes," in Proc. IEEE Int. Symp. Information Theory, Chicago, IL, Jun. 2004, p. 70.
-
(2004)
Proc. IEEE Int. Symp. Information Theory
, pp. 70
-
-
Vontobel, P.O.1
Koetter, R.2
-
25
-
-
38349192245
-
Minimum pseudo-weight and minimum pseudo-codewords of LDPC codes
-
Online. Available:, submitted for publication
-
S.-T. Xia and F.-W. Fu, "Minimum pseudo-weight and minimum pseudo-codewords of LDPC codes," IEEE Trans. Inf. Theory Online. Available: http://www.arxiv.org/abs/cs.IT/060605, submitted for publication
-
IEEE Trans. Inf. Theory
-
-
Xia, S.-T.1
Fu, F.-W.2
-
26
-
-
0348132170
-
Linear intersecting codes
-
G. Cohen and A. Lempel, "Linear intersecting codes," Discr. Math vol. 56, pp. 35-43, 1985.
-
(1985)
Discr. Math
, vol.56
, pp. 35-43
-
-
Cohen, G.1
Lempel, A.2
-
27
-
-
34447311593
-
-
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 (Minneapolis, MN, 1999), B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, 2001, pp. 113-130.
-
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 (Minneapolis, MN, 1999), B. Marcus and J. Rosenthal, Eds. New York: Springer-Verlag, 2001, pp. 113-130.
-
-
-
-
28
-
-
33749436858
-
Improved reversible LDPC codes
-
Adelaide, Australia, Sep
-
D. Haley and A. Grant, "Improved reversible LDPC codes," in Proc. IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 1367-1371.
-
(2005)
Proc. IEEE Int. Symp. Information Theory
, pp. 1367-1371
-
-
Haley, D.1
Grant, A.2
-
29
-
-
0035246564
-
Factor graphs and the sum-product algorithm
-
Feb
-
F. R. Kschischang, B. J. Frey, and H.-A. Loeliger, "Factor graphs and the sum-product algorithm," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 498-519, Feb. 2001.
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, Issue.2
, pp. 498-519
-
-
Kschischang, F.R.1
Frey, B.J.2
Loeliger, H.-A.3
-
30
-
-
0032202120
-
A lower bound on the error probability for signals in white Gaussian noise
-
Nov
-
G. E. Séguin, "A lower bound on the error probability for signals in white Gaussian noise," IEEE Trans. Inf. Theory, vol. 44, no. 7, pp. 3168-3175, Nov. 1998.
-
(1998)
IEEE Trans. Inf. Theory
, vol.44
, Issue.7
, pp. 3168-3175
-
-
Séguin, G.E.1
-
31
-
-
0010606787
-
LRS: A revised implementation of the reverse search vertex enumeration algorithm
-
G. Kalai and G. M. Ziegler, Eds. Basel, Switzerland: Birkhäser Verlag, Online.Available
-
D. Avis, "LRS: A revised implementation of the reverse search vertex enumeration algorithm," in Polytopes - Combinatorics and Computation G. Kalai and G. M. Ziegler, Eds. Basel, Switzerland: Birkhäser Verlag, 2000, pp. 177-198 Online.Available: http://cgm.cs.mcgill.ca/~avis/C/lrs.html
-
(2000)
Polytopes - Combinatorics and Computation
, pp. 177-198
-
-
Avis, D.1
-
32
-
-
0141973785
-
Stopping sets in codes from designs
-
Yokohama, Japan, Jul, Online. Available
-
N. Kashyap and A. Vardy, "Stopping sets in codes from designs," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, Jul. 2003, p. 122 Online. Available: http://www.mast.queensu.ca/~nkashyap
-
(2003)
Proc. IEEE Int. Symp. Information Theory
, pp. 122
-
-
Kashyap, N.1
Vardy, A.2
-
33
-
-
34447296126
-
LDPC Codes Based on Projective Geometries,
-
Master's thesis, Dept. Math. Statist, San Diego State Univ, San Diego, CA
-
M. Wauer, "LDPC Codes Based on Projective Geometries," Master's thesis, Dept. Math. Statist., San Diego State Univ., San Diego, CA, 2005.
-
(2005)
-
-
Wauer, M.1
-
34
-
-
34447330631
-
Bounds on the pseudo-weight of minimal pseudo-codewords of projective geometry codes
-
D. V. Huynh, S. K. Jain, and S. R. Lopez-Permouth, Eds. Providence, RI: Amer. Math. Soc, Dec, Online. Available
-
R. Smarandache and M. Wauer, "Bounds on the pseudo-weight of minimal pseudo-codewords of projective geometry codes," in Contemporary Mathematics, Algebra and Its Applications, D. V. Huynh, S. K. Jain, and S. R. Lopez-Permouth, Eds. Providence, RI: Amer. Math. Soc., Dec. 2006, vol. 419, pp. 285-296 Online. Available: http://www.arxiv.org/abs/ cs.IT/0510049
-
(2006)
Contemporary Mathematics, Algebra and Its Applications
, vol.419
, pp. 285-296
-
-
Smarandache, R.1
Wauer, M.2
-
35
-
-
36348999345
-
Pseudocodewords of Tanner graphs
-
Online. Available:, submitted for publication
-
C. Kelley and D. Sridhara, "Pseudocodewords of Tanner graphs," IEEE Trans. Inf. Theory Online. Available: http://www.arxiv.org/abs/cs.IT/ 0504013, submitted for publication
-
IEEE Trans. Inf. Theory
-
-
Kelley, C.1
Sridhara, D.2
-
36
-
-
84962045983
-
Complete ML decoding for the (73,45) PG code
-
Monticello, IL, Sep
-
J. Justesen, T. Høholdt, and J. Hjaltason, "Complete ML decoding for the (73,45) PG code," in Proc. 43rd Allerton Conf. Communications, Control, and Computing, Monticello, IL, Sep. 2005, pp. 1076-1086.
-
(2005)
Proc. 43rd Allerton Conf. Communications, Control, and Computing
, pp. 1076-1086
-
-
Justesen, J.1
Høholdt, T.2
Hjaltason, J.3
-
38
-
-
33846072228
-
Algorithmic and combinatorial analysis of trapping sets in structured LDPC codes
-
Maui, HI, Jun
-
S. Laendner and O. Milenkovic, "Algorithmic and combinatorial analysis of trapping sets in structured LDPC codes," in Proc. 2005 Int. Conf. Wireless Networks, Communications, and Mobile Computing (Wirelesscom 2005), Maui, HI, Jun. 2005.
-
(2005)
Proc. 2005 Int. Conf. Wireless Networks, Communications, and Mobile Computing (Wirelesscom 2005)
-
-
Laendner, S.1
Milenkovic, O.2
-
39
-
-
33749431122
-
Euclidean geometry codes, minimum weight words and decodable error-patterns using bit-flipping
-
Adelaide, Australia, Sep
-
T. Høholdt, J. Justesen, and B. Jonsson, "Euclidean geometry codes, minimum weight words and decodable error-patterns using bit-flipping," in Proc. IEEE Int. Symp. Information Theory, Adelaide, Australia, Sep. 2005, pp. 2171-2173.
-
(2005)
Proc. IEEE Int. Symp. Information Theory
, pp. 2171-2173
-
-
Høholdt, T.1
Justesen, J.2
Jonsson, B.3
-
40
-
-
34447320398
-
-
Dec, personal communication
-
T. Høholdt, Dec. 2005, personal communication.
-
(2005)
-
-
Høholdt, T.1
-
41
-
-
84961912318
-
On minimal pseudo-codewords of Tanner graphs from projective planes
-
Monticello, IL, Sep, Online. Available
-
P. O. Vontobel and R. Smarandache, "On minimal pseudo-codewords of Tanner graphs from projective planes," in Proc. 43rd Allerton Conf. Communications, Control, and Computing, Monticello, IL, Sep. 2005, pp. 20-30 Online. Available: http://www.arxiv.org/abs/cs.IT/0510043
-
(2005)
Proc. 43rd Allerton Conf. Communications, Control, and Computing
, pp. 20-30
-
-
Vontobel, P.O.1
Smarandache, R.2
-
42
-
-
33751058304
-
Bounds on the threshold of linear programming decoding
-
Punta del Este, Uruguay, Mar, Online. Available
-
P. O. Vontobel and R. Koetter, "Bounds on the threshold of linear programming decoding," in Proc. IEEE Inf. Theory Workshop, Punta del Este, Uruguay, Mar. 2006, pp. 175-179 Online. Available: http://www.arxiv.org/abs/cs.IT/0602087
-
(2006)
Proc. IEEE Inf. Theory Workshop
, pp. 175-179
-
-
Vontobel, P.O.1
Koetter, R.2
-
43
-
-
84961927189
-
Lower bounds on stopping distance of linear codes and their applications
-
Monticello, IL, Sep
-
M. Zhu and K. M. Chugg, "Lower bounds on stopping distance of linear codes and their applications," in Proc. 43rd Allerton Conf. Communications, Control, and Computing, Monticello, IL, Sep. 2005, pp. 1778-1787.
-
(2005)
Proc. 43rd Allerton Conf. Communications, Control, and Computing
, pp. 1778-1787
-
-
Zhu, M.1
Chugg, K.M.2
-
44
-
-
34447322749
-
An efficient pseudo-codeword search algorithm for linear programming decoding of LDPC codes
-
Sep, Online. Available:, submitted for publication
-
M. Chertkov and M. G. Stepanov, "An efficient pseudo-codeword search algorithm for linear programming decoding of LDPC codes," IEEE Trans. Inf. Theory, Sep. 2006 Online. Available: http://www.arxiv.org/abs/cs.IT/0601113, submitted for publication
-
(2006)
IEEE Trans. Inf. Theory
-
-
Chertkov, M.1
Stepanov, M.G.2
-
45
-
-
0035246312
-
Minimum-distance bounds by graph analysis
-
Feb
-
R. M. Tanner, "Minimum-distance bounds by graph analysis," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 808-821, Feb. 2001.
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, Issue.2
, pp. 808-821
-
-
Tanner, R.M.1
|