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Keywords
(1)
Error Correction Code
Related Publications
(1)
Algorithmic Issues in Coding Theory
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The theory of error correcting codes
The theory of error correcting codes,F. J. Macwiliams,N. J. A. Sloane
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The theory of error correcting codes
(
Citations: 3278
)
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F. J. Macwiliams
,
N. J. A. Sloane
Published in 1977.
Cumulative
Annual
Citation Context
(1667)
...For linear block codes, MacWilliams identities are classical duality results that relate weight generating functions of linear codes and their duals [
14
]...
...We willfirst consider what MacWilliams and Sloane [
14
] call exactweightgeneratingfunctions,whereeverysymbolalphabet is given its own set of indeterminates...
G. David Forney Jr.
.
Codes on Graphs: Duality and MacWilliams Identities
...(Not to be confused with the degree of a vertex.) 6 For a formal definition of code equivalence, see, for example, [
34
]...
...Because of the importance of the codingtheoretic notion of shortening [
34
] for this subsection, we briefly revisit this concept...
Ali Emre Pusane
,
et al.
Deriving Good LDPC Convolutional Codes from LDPC Block Codes
...In the sequel, we use many standard notions from coding theory such as (Hamming) weight, minimum distance, dual distance, linear [n;k;d]q codes, dual codes, MDS codes (for instance, see [
14
])...
Son Hoang Dau
,
et al.
On the Security of Index Coding with Side Information
...To prove the results in this paper, we have to introduce the famous BCH bound and the definition of BCH code in coding theory [
16
]...
Ziran Tu
,
et al.
A conjecture about binary strings and its applications on constructing...
...In order to achieve this goal, we resort to Cauchy matrix [
20
], of which any square submatrix has full rank if the entries are chosen carefully...
...If , the Cauchy matrix becomes square, and its determinant is [
20
]...
Ahmed E. Kamal
,
et al.
Overlay Protection Against Link Failures Using Network Coding
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Citations
(3278)
Codes on Graphs: Duality and MacWilliams Identities
(
Citations: 4
)
G. David Forney Jr.
Journal:
IEEE Transactions on Information Theory  TIT
, vol. 57, no. 3, pp. 13821397, 2011
Deriving Good LDPC Convolutional Codes from LDPC Block Codes
(
Citations: 5
)
Ali Emre Pusane
,
Roxana Smarandache
,
Pascal O. Vontobel
Journal:
IEEE Transactions on Information Theory  TIT
, vol. 57, no. 2, pp. 835857, 2011
ErrorCorrecting Codes in Projective Space
(
Citations: 3
)
Tuvi Etzion
,
Alexander Vardy
Journal:
IEEE Transactions on Information Theory  TIT
, vol. 57, no. 2, pp. 11651173, 2011
On the Security of Index Coding with Side Information
(
Citations: 2
)
Son Hoang Dau
,
Vitaly Skachek
,
Yeow Meng Chee
Conference:
IEEE International Symposium on Information Theory  ISIT
, vol. abs/1102.2, pp. 983987, 2011
A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity
(
Citations: 1
)
Ziran Tu
,
Yingpu Deng
Journal:
Designs, Codes and Cryptography  DCC
, vol. 60, no. 1, pp. 114, 2011