-
1
-
-
4544245136
-
Exact thresholds and optimal codes for the binary symmetric channel and Gallager's decoding algorithm A
-
Also available at submitted for publication
-
L. Bazzi, T. Richardson, and R. Urbanke, "Exact thresholds and optimal codes for the binary symmetric channel and Gallager's decoding algorithm A," IEEE Trans. Inform. Theory. Also available at http://cm.bell-labs.com/cm/ms/who/tjr/pub.html, submitted for publication.
-
IEEE Trans. Inform. Theory
-
-
Bazzi, L.1
Richardson, T.2
Urbanke, R.3
-
2
-
-
0036160741
-
Bounds on the performance of belief propagation decoding
-
Jan
-
D. Burshtein and G. Miller, "Bounds on the performance of belief propagation decoding," IEEE Trans. Inform. Theory, vol. 48, pp. 112-122, Jan. 2002.
-
(2002)
IEEE Trans. Inform. Theory
, vol.48
, pp. 112-122
-
-
Burshtein, D.1
Miller, G.2
-
3
-
-
21144460202
-
Solving linear equations over GF(2): Block Lanczos algorithm
-
D. Coppersmith, "Solving linear equations over GF(2): Block Lanczos algorithm," Linear Alg. Applic., vol. 192, pp. 33-60, 1993.
-
(1993)
Linear Alg. Applic.
, vol.192
, pp. 33-60
-
-
Coppersmith, D.1
-
4
-
-
84968521645
-
Solving homogeneous linear equations over GF(2) via block Wiedemann algorithm
-
Jan
-
D. Coppersmith, "Solving homogeneous linear equations over GF(2) via block Wiedemann algorithm," Math. of Comput., vol. 62, no. 205, pp. 333-350, Jan. 1994.
-
(1994)
Math. of Comput.
, vol.62
, Issue.205
, pp. 333-350
-
-
Coppersmith, D.1
-
5
-
-
0022953575
-
Discrete logarithms in GF(p)
-
D. Coppersmith, A. Odlyzko, and R. Schroeppel, "Discrete logarithms in GF(p)," Algorithmica, vol. 1, pp. 1-15, 1986.
-
(1986)
Algorithmica
, vol.1
, pp. 1-15
-
-
Coppersmith, D.1
Odlyzko, A.2
Schroeppel, R.3
-
9
-
-
0000135303
-
Methods of conjugate gradients for solving linear systems
-
M. R. Hestenes and E. Stiefel, "Methods of conjugate gradients for solving linear systems," J. Res. Nat. Bur. Stand., vol. 49, pp. 409-436, 1952.
-
(1952)
J. Res. Nat. Bur. Stand.
, vol.49
, pp. 409-436
-
-
Hestenes, M.R.1
Stiefel, E.2
-
10
-
-
84988216913
-
Solving large sparse linear systems over finite fields
-
A. Menezes and S. Vanstone, Eds. Berlin, Germany: Springer-Verlag
-
B. A. LaMacchia and A. M. Odlyzko, "Solving large sparse linear systems over finite fields," in Advances in Cryptology: CRYPTO '90 (Lecture Notes in Computer Science), A. Menezes and S. Vanstone, Eds. Berlin, Germany: Springer-Verlag, 1991, vol. 537, pp. 109-133.
-
(1991)
Advances in Cryptology: CRYPTO '90 (Lecture Notes in Computer Science)
, vol.537
, pp. 109-133
-
-
LaMacchia, B.A.1
Odlyzko, A.M.2
-
11
-
-
0002814189
-
Solution of systems of linear equations by minimized iterations
-
C. Lanczos, "Solution of systems of linear equations by minimized iterations," J. Res. Nat. Bur. Stand., vol. 49, pp. 33-53, 1952.
-
(1952)
J. Res. Nat. Bur. Stand.
, vol.49
, pp. 33-53
-
-
Lanczos, C.1
-
12
-
-
0032258155
-
Analysis of random processes via and-or tree evaluation
-
San Francisco, CA
-
M. Luby, M. Mitzenmacher, and M. A. Shokrollahi, "Analysis of random processes via and-or tree evaluation," in Proc. 9th Annu. ACM-SIAM Symp. Discrete Algorithms, San Francisco, CA, 1998, pp. 364-373.
-
(1998)
Proc. 9th Annu. ACM-SIAM Symp. Discrete Algorithms
, pp. 364-373
-
-
Luby, M.1
Mitzenmacher, M.2
Shokrollahi, M.A.3
-
13
-
-
0035246316
-
Efficient erasure correcting codes
-
Feb
-
M. G. Luby, M. Mitzenmacher, M. A. Shokrollahi, and D. A. Spielman, "Efficient erasure correcting codes," IEEE Trans. Inform. Theory, vol. 47, pp. 569-584, Feb. 2001.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, pp. 569-584
-
-
Luby, M.G.1
Mitzenmacher, M.2
Shokrollahi, M.A.3
Spielman, D.A.4
-
14
-
-
0035246580
-
Improved low-density parity-check codes using irregular graphs
-
Feb
-
M. G. Luby, "Improved low-density parity-check codes using irregular graphs," 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
-
15
-
-
85075674312
-
A block Lanczos algorithm for finding dependencies over GF(2)
-
L. C. Guillou and J. J. Quisquater, Eds. Berlin, Germany: Springer-Verlag
-
P. L. Montgomery, "A block Lanczos algorithm for finding dependencies over GF(2)," in Advances in Cryptology: EUROCRYPT '95 (Lecture Notes in Computer Science), L. C. Guillou and J. J. Quisquater, Eds. Berlin, Germany: Springer-Verlag, 1995, vol. 921, pp. 106-120.
-
(1995)
Advances in Cryptology: EUROCRYPT '95 (Lecture Notes in Computer Science)
, vol.921
, pp. 106-120
-
-
Montgomery, P.L.1
-
16
-
-
84957014368
-
Discrete logarithms in finite fields and their cryptographic significance
-
T. Beth, N. Cot, and I. Ingemarsson, Eds. Berlin, Germany: Springer-Verlag
-
A. M. Odlyzko, "Discrete logarithms in finite fields and their cryptographic significance," in Advances in Cryptology: Proceedings of Eurocrypt '84 (Lecture Notes in Computer Science), T. Beth, N. Cot, and I. Ingemarsson, Eds. Berlin, Germany: Springer-Verlag, 1985, vol. 209, pp. 224-314.
-
(1985)
Advances in Cryptology: Proceedings of Eurocrypt '84 (Lecture Notes in Computer Science)
, vol.209
, pp. 224-314
-
-
Odlyzko, A.M.1
-
17
-
-
0001534053
-
Discrete logarithms: The past and the future
-
Mar
-
A. M. Odlyzko, "Discrete logarithms: The past and the future" Des., Codes Cryptogr., vol. 19, no. 2-3, pp. 129-145, Mar. 2000.
-
(2000)
Des., Codes Cryptogr.
, vol.19
, Issue.2-3
, pp. 129-145
-
-
Odlyzko, A.M.1
-
18
-
-
0035246320
-
Efficient encoding of low-density parity-check codes
-
Feb
-
T. Richardson and R. Urbanke, "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
Urbanke, R.2
-
19
-
-
34250487811
-
Gaussian elimination is not optimal
-
V. Strassen, "Gaussian elimination is not optimal" Numerische Math., vol. 13, pp. 354-356, 1969.
-
(1969)
Numerische Math.
, vol.13
, pp. 354-356
-
-
Strassen, V.1
-
20
-
-
0019608335
-
A recursive approach to low complexity codes
-
Sept
-
R. M. Tanner, "A recursive approach to low complexity codes," IEEE Trans. Inform. Theory, vol. IT-27, pp. 533-547, Sept. 1981.
-
(1981)
IEEE Trans. Inform. Theory
, vol.IT-27
, pp. 533-547
-
-
Tanner, R.M.1
-
21
-
-
0032372015
-
Euclid's algorithm and the Lanczos method over finite fields
-
Oct
-
J. Teitelbaum, "Euclid's algorithm and the Lanczos method over finite fields," Math. Comput., vol. 67, no. 224, pp. 1665-1678, Oct. 1998.
-
(1998)
Math. Comput.
, vol.67
, Issue.224
, pp. 1665-1678
-
-
Teitelbaum, J.1
-
22
-
-
0022583143
-
Solving sparse linear equations over finite fields
-
Jan
-
D. Wiedemann, "Solving sparse linear equations over finite fields," IEEE Trans. Inform. Theory, vol. IT-32, pp. 54-62, Jan. 1986.
-
(1986)
IEEE Trans. Inform. Theory
, vol.IT-32
, pp. 54-62
-
-
Wiedemann, D.1
|