-
1
-
-
0001623687
-
A theorem on matrices over a field and its applications
-
L. Hua, "A theorem on matrices over a field and its applications," Chinese Math. Soc., vol. 1, no. 2, pp. 109-163, 1951.
-
(1951)
Chinese Math. Soc
, vol.1
, Issue.2
, pp. 109-163
-
-
Hua, L.1
-
2
-
-
0009068065
-
Bilinear forms over a finite field, with applications to coding theory
-
P. Delsarte, "Bilinear forms over a finite field, with applications to coding theory," J. Combinat. Theory A, vol. 25, pp. 226-241, 1978.
-
(1978)
J. Combinat. Theory A
, vol.25
, pp. 226-241
-
-
Delsarte, P.1
-
3
-
-
0242302496
-
Maximum rank distance codes as space-time codes
-
Oct
-
P. Lusina, E. M. Gabidulin, and M. Bossert, "Maximum rank distance codes as space-time codes," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2757-2760, Oct. 2003.
-
(2003)
IEEE Trans. Inf. Theory
, vol.49
, Issue.10
, pp. 2757-2760
-
-
Lusina, P.1
Gabidulin, E.M.2
Bossert, M.3
-
4
-
-
84935622001
-
Ideals over a noncommutative ring and their application in cryptology
-
Berlin, Germany: Springer-Verlag
-
E. M. Gabidulin, A. V. Paramonov, and O. V. Tretjakov, "Ideals over a noncommutative ring and their application in cryptology," in Lecture Notes in Computer Science. Berlin, Germany: Springer-Verlag, 1991, vol. 573, pp. 482-489.
-
(1991)
Lecture Notes in Computer Science
, vol.573
, pp. 482-489
-
-
Gabidulin, E.M.1
Paramonov, A.V.2
Tretjakov, O.V.3
-
5
-
-
45749115355
-
Optimal codes correcting lattice-pattern errors
-
E. M. Gabidulin, "Optimal codes correcting lattice-pattern errors," Probl. Inf. Transm., vol. 21, no. 2, pp. 3-11, 1985.
-
(1985)
Probl. Inf. Transm
, vol.21
, Issue.2
, pp. 3-11
-
-
Gabidulin, E.M.1
-
6
-
-
0026116647
-
Maximum-rank array codes and their application to criss-cross error correction
-
Mar
-
R. M. Roth, "Maximum-rank array codes and their application to criss-cross error correction," IEEE Trans. Inf. Theory, vol. 37, no. 2, pp. 328-336, Mar. 1991.
-
(1991)
IEEE Trans. Inf. Theory
, vol.37
, Issue.2
, pp. 328-336
-
-
Roth, R.M.1
-
7
-
-
51349146209
-
A rank-metric approach to error control in random network coding
-
Online, Available:, submitted for publication
-
D. Silva, F. R. Kschischang, and R. Koetter, "A rank-metric approach to error control in random network coding," IEEE Trans. Inf. Theory [Online]. Available: http://arxiv.org/abs/0711.0708, submitted for publication
-
IEEE Trans. Inf. Theory
-
-
Silva, D.1
Kschischang, F.R.2
Koetter, R.3
-
8
-
-
51349099895
-
Constant-rank codes
-
Toronto, ON, Canada, Jul
-
M. Gadouleau and Z. Yan, "Constant-rank codes," in Proc. IEEE Int. Symp. Information Theory, Toronto, ON, Canada, Jul. 2008, pp. 876-880.
-
(2008)
Proc. IEEE Int. Symp. Information Theory
, pp. 876-880
-
-
Gadouleau, M.1
Yan, Z.2
-
10
-
-
0021941233
-
Theory of codes with maximum rank distance
-
Jan
-
E. M. Gabidulin, "Theory of codes with maximum rank distance," Probl. Inf. Transm., vol. 21, no. 1, pp. 1-12, Jan. 1985.
-
(1985)
Probl. Inf. Transm
, vol.21
, Issue.1
, pp. 1-12
-
-
Gabidulin, E.M.1
-
11
-
-
51349109273
-
Studies on rank distance codes,
-
Ph.D. dissertation, IIT Madras, Madras, India, Feb
-
N. Suresh-Babu, "Studies on rank distance codes," Ph.D. dissertation, IIT Madras, Madras, India, Feb. 1995.
-
(1995)
-
-
Suresh-Babu, N.1
-
12
-
-
0040199456
-
On the nonexistence of perfect codes with rank distance
-
K. Chen, "On the nonexistence of perfect codes with rank distance," Mathematische Nachrichten, vol. 182, pp. 89-98, 1996.
-
(1996)
Mathematische Nachrichten
, vol.182
, pp. 89-98
-
-
Chen, K.1
-
13
-
-
34547242538
-
On the covering radius of rank-distance codes
-
W. B. Vasantha and N. Suresh-Babu, "On the covering radius of rank-distance codes," Ganita Sandesh, vol. 13, pp. 43-48, 1999.
-
(1999)
Ganita Sandesh
, vol.13
, pp. 43-48
-
-
Vasantha, W.B.1
Suresh-Babu, N.2
-
15
-
-
5044246918
-
Fast decoding of rank-codes with rank errors and column erasures
-
Jun
-
G. Richter and S. Plass, "Fast decoding of rank-codes with rank errors and column erasures," in Proc. IEEE Int. Symp. Inf. Theory, Jun. 2004, pp. 398-.
-
(2004)
Proc. IEEE Int. Symp. Inf. Theory
, pp. 398
-
-
Richter, G.1
Plass, S.2
-
18
-
-
37149051669
-
A Welch-Berlekamp like algorithm for decoding Gabidulin codes
-
P. Loidreau, "A Welch-Berlekamp like algorithm for decoding Gabidulin codes," in Proc. Int. Workshop Coding and Cryptography, 2005, pp. 36-45.
-
(2005)
Proc. Int. Workshop Coding and Cryptography
, pp. 36-45
-
-
Loidreau, P.1
-
19
-
-
50949112855
-
Properties of codes with the rank metric
-
Nov
-
M. Gadouleau and Z. Yan, "Properties of codes with the rank metric," Proc. IEEE Globecom, pp. 1-5, Nov. 2006.
-
(2006)
Proc. IEEE Globecom
, pp. 1-5
-
-
Gadouleau, M.1
Yan, Z.2
-
20
-
-
45749132560
-
Decoder error probability of MRD codes
-
Oct, Online, Available
-
M. Gadouleau and Z. Yan, "Decoder error probability of MRD codes," in Proc. IEEE Int. Theory Workshop, Oct. 2006, pp. 264-268 [Online]. Available:http://arxiv.org/abs/cs/0610148
-
(2006)
Proc. IEEE Int. Theory Workshop
, pp. 264-268
-
-
Gadouleau, M.1
Yan, Z.2
-
21
-
-
46749089110
-
On the decoder error probability of bounded rank-distance decoders for maximum rank distance codes
-
Online, Available:, to be published
-
M. Gadouleau and Z. Yan, "On the decoder error probability of bounded rank-distance decoders for maximum rank distance codes," IEEE Trans. Inf. Theory [Online]. Available: http://arxiv.org/pdf/cs.IT/0612051, to be published
-
IEEE Trans. Inf. Theory
-
-
Gadouleau, M.1
Yan, Z.2
-
23
-
-
0015735548
-
Four fundamental parameters of a code and their combinatorial significance
-
P. Delsarte, "Four fundamental parameters of a code and their combinatorial significance," Inf. Control, vol. 23, pp. 407-438, 1973.
-
(1973)
Inf. Control
, vol.23
, pp. 407-438
-
-
Delsarte, P.1
-
24
-
-
0004222683
-
Rate Distortion Theory: A Mathematical Basis for Data Compression
-
T. Kailath, Ed. Englewood Cliffs, NJ: Prentice-Hall
-
T. Berger, Rate Distortion Theory: A Mathematical Basis for Data Compression, ser. Information and System Sciences, T. Kailath, Ed. Englewood Cliffs, NJ: Prentice-Hall, 1971.
-
(1971)
ser. Information and System Sciences
-
-
Berger, T.1
-
27
-
-
33746623742
-
Ŕtude et Optimisation de Cryptosystèmes à Clé Publique Fondés sur 1a Théorie des Codes Correcteurs,
-
Ph.D. dissertation, École Polytechnique, Paris, France, May
-
P. Loidreau, "Ŕtude et Optimisation de Cryptosystèmes à Clé Publique Fondés sur 1a Théorie des Codes Correcteurs," Ph.D. dissertation, École Polytechnique, Paris, France, May 2001.
-
(2001)
-
-
Loidreau, P.1
-
28
-
-
0003341319
-
The theory of partitions
-
G.-C. Rota, Ed. Reading, MA: Addison-Wesley
-
G. E. Andrews, "The theory of partitions," in Encyclopedia of Mathematics and its Applications, G.-C. Rota, Ed. Reading, MA: Addison-Wesley, 1976, vol. 2.
-
(1976)
Encyclopedia of Mathematics and its Applications
, vol.2
-
-
Andrews, G.E.1
-
29
-
-
0039879672
-
On a combinatorial conjecture of Erdös
-
D. J. Kleitman, "On a combinatorial conjecture of Erdös," J. Combinat. Theory, vol. 1, pp. 209-214, 1966.
-
(1966)
J. Combinat. Theory
, vol.1
, pp. 209-214
-
-
Kleitman, D.J.1
-
30
-
-
0032182893
-
Association schemes and coding theory
-
Oct
-
P. Delsarte and V. I. Levenshtein, "Association schemes and coding theory," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2477-2504, Oct. 1998.
-
(1998)
IEEE Trans. Inf. Theory
, vol.44
, Issue.6
, pp. 2477-2504
-
-
Delsarte, P.1
Levenshtein, V.I.2
-
31
-
-
0022777610
-
Further results on the covering radius of codes
-
Sep
-
G. D. Cohen, A. C. Lobstein, and N. J. A. Sloane, "Further results on the covering radius of codes," IEEE Trans. Inf. Theory, vol. IT-32, no. 5, pp. 680-694, Sep. 1986.
-
(1986)
IEEE Trans. Inf. Theory
, vol.IT-32
, Issue.5
, pp. 680-694
-
-
Cohen, G.D.1
Lobstein, A.C.2
Sloane, N.J.A.3
-
32
-
-
0023981711
-
Improved sphere bounds on the covering radius of codes
-
Mar
-
G. van Wee, "Improved sphere bounds on the covering radius of codes," IEEE Trans. Inf. Theory, vol. IT-34, no. 2, pp. 237-245, Mar. 1988.
-
(1988)
IEEE Trans. Inf. Theory
, vol.IT-34
, Issue.2
, pp. 237-245
-
-
van Wee, G.1
-
33
-
-
0013542256
-
Bounds on packings and coverings by spheres in q-ary and mixed Hamming spaces
-
G. van Wee, "Bounds on packings and coverings by spheres in q-ary and mixed Hamming spaces," J. Combinat. Theory A, vol. 57, pp. 116-129, 1991.
-
(1991)
J. Combinat. Theory A
, vol.57
, pp. 116-129
-
-
van Wee, G.1
-
34
-
-
51349124452
-
The best bounds of harmonic sequence
-
Jun. 20A3 [Online, Available
-
C.-P. Chen and F. Qi, "The best bounds of harmonic sequence," Jun. 20A3 [Online]. Available: http://arxiv:math.ca/0306233v1
-
-
-
Chen, C.-P.1
Qi, F.2
-
35
-
-
51349126420
-
-
The MathWorks, Inc, Natick, MA [Online, Available
-
The MathWorks, Inc., "MATLAB communications toolbox function reference: gf," Natick, MA [Online]. Available: http://www.mathworks.com/access/helpdesk/help/toolbox/comm/ug/gf.html
-
MATLAB communications toolbox function reference: Gf
-
-
-
36
-
-
0025519305
-
A new table of constant weight codes
-
Nov
-
A. E. Brouwer, J. B. Shearer, N. J. A. Sloane, and W. D. Smith, "A new table of constant weight codes," IEEE Trans. Inf. Theory, vol. 36, no. 6, pp. 1334-1380, Nov. 1990.
-
(1990)
IEEE Trans. Inf. Theory
, vol.36
, Issue.6
, pp. 1334-1380
-
-
Brouwer, A.E.1
Shearer, J.B.2
Sloane, N.J.A.3
Smith, W.D.4
|