(Enter summary)
Abstract: This paper gives concatenated
codes with uniform construction complexity of order n (Update)
Context of citations to this paper: More
.... hard e.g. approximation [2, 20] to within error bounded by distance [23] xed number of errors [21] See also the survey by Barg [5]. In this section we will not deal with such problems, but focus on this problem for xed classes of (algebraic) codes. Even after we x the...
...such that any vector x X n has a relatively light subvector xz on some decomposition Z Z . Lemma 11 is discussed in detail in [6] and [4], where the set ( is written out explicitly. Here we omit the lengthy proof. Instead, we consider two examples that illuminate general...
Cited by: More
A Fast Provably Secure Cryptographic Hash Function - Augot, Finiasz, Sendrier (2003)
(Correct)
On the Groebner bases of some symmetric systems and their.. - Mora, Sala (2003)
(Correct)
Error Exponents of Expander Codes Under Linear-Complexity Decoding - Barg (2002)
(Correct)
Active bibliography (related documents): More All
6.3: On the Complexity of Minimum Distance Decoding of Long.. - Barg, Krouk, van Tilborg (1999)
(Correct)
1.4: Minimal Vectors in Linear Codes - Ashikhmin, Barg
(Correct)
1.1: Linear-Time Binary Codes Correcting Localized Erasures - Alexander Barg (1997)
(Correct)
Similar documents based on text: More All
0.2: Fast Local Covers - Iliopoulos, Mouchard (1998)
(Correct)
0.1: A Normalform for Classes of Concatenation Hierarchies - Glaßer (1998)
(Correct)
0.1: Learning Concatenations of Locally Testable Languages from.. - Kobayashi, Yokomori (1994)
(Correct)
Related documents from co-citation: More All
4: The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1977
4: Low-density parity-check codes (context) - Gallager - 1962
3: A class of constructive asymptotically good algebraic codes (context) - Justesen - 1972
BibTeX entry: (Update)
A. Barg, "Complexity issues in coding theory," in V. Pless and W. Cary Huffman, Eds., Handbook of Coding Theory, Elsevier Science, to be published. http://citeseer.ist.psu.edu/barg97complexity.html More
@article{ barg97complexity,
author = "Alexander Barg",
title = "Complexity Issues in Coding Theory",
journal = "Electronic Colloquium on Computational Complexity (ECCC)",
volume = "4",
number = "046",
year = "1997",
url = "citeseer.ist.psu.edu/barg97complexity.html" }
Citations (may not include all citations):
4212
Computers and Intractability: A Guide to the Theory of NP-Co.. (context) - Garey, Johnson - 1978
3972
Introduction to Algorithms (context) - Cormen, Leiserson et al. - 1990
2003
The Art of Computer Programming (context) - Knuth - 1973
951
Computational Complexity (context) - Papadimitriou - 1995 ACM
442
Optimal decoding of linear codes for minimizing symbol error.. (context) - Bahl, Cocke et al. - 1974
341
Low-Density Parity-Check Codes (context) - Gallager - 1963
229
Theory of Recursive Functions and Effective Computability (context) - Rogers - 1967 ACM
164
Polynomial-time algorithm for prime factorization and discre..
- Shor - 1994
158
Matroid Theory (context) - Welsh - 1977
148
Ramanujan graphs (context) - Lubotzky, Phillips et al. - 1988 DBLP
113
Reliable broadband communication using a burst erasure corre..
- McAuley - 1990
112
Average case complete problems (context) - Levin - 1986 ACM DBLP
109
Practical loss-resilient codes
- Luby, Mitzenmacher et al. - 1997 ACM DBLP
90
Spectral Graph Theory (context) - Chung - 1997
88
A recursive approach to low complexity codes (context) - Tanner - 1981
73
the inherent intractability of certain coding problems (context) - Berlekamp, McEliece et al. - 1978
63
A public-key cryptosystem based on algebraic coding theory (context) - McEliece - 1978
60
Efficient dispersal of information for security, load balanc.. (context) - Rabin - 1989 ACM DBLP
59
IEEE Trans (context) - the, of et al. - 1992
58
Construction of asymptotically good low-rate error-correctin.. (context) - Alon, Bruck et al. - 1992
57
Probabilistic Methods in Combinatorics
- Erdos, Spencer - 1974
54
Explicit constructions of concentrators (context) - Margulis - 1973
52
Good quantum error-correcting codes exist
- Calderbank, Shor - 1996
35
Explicit constructions of linear sized tolerant networks (context) - Alon, Chung - 1988
32
Machine models and simulations (context) - Boas - 1990
30
Ullman The Design and Analysis of Computer Algorithms (context) - Aho, Hoprcroft - 1974
28
A class of constructive, asymptotically good algebraic codes (context) - Justesen - 1972
28
Computational Complexity (context) - Wagner, Wechsung - 1986 ACM
28
A polynomial-time algorithm to find the shortest cycle basis.. (context) - Horton - 1987 ACM DBLP
26
Generalized minimum distance decoding (context) - Forney - 1966
24
Algebraic-Geometric Codes (context) - Tsfasman, Vladut - 1991
24
Efficient maximum likelihood decoding of linear codes using .. (context) - Wolf - 1978
24
Computational and Algorithmic Problems in Finite Fields (context) - Shparlinski - 1992
20
New York (context) - Theory, Communication - 1968
18
The intractability of computing the minimum distance of a co.. (context) - Vardy - 1997
17
Transparent proofs and limits to approximation
- Babai - 1994 ACM
17
Theory of codes with maximum rank distance (context) - Gabidulin - 1985
17
A Course in Mathematical Logic (context) - Manin - 1976
16
The hardness of decoding linear codes with preprocessing (context) - Bruck, Naor - 1990
15
Finite Fields: Structure and Arithmetics (context) - Jungnickel - 1992
14
Handbook of Theoretical Computer Science (context) - of, classes et al. - 1990 ACM
13
Conservative weightings and ear-decompositions of graphs (context) - Frank - 1993 ACM DBLP
13
A Justesen construction of binary concatenated codes which a.. (context) - Shen - 1993
12
On covering problems of codes (context) - Frances, Litman - 1997 DBLP
11
New constructions for covering designs (context) - Gordon, Patashnik et al. - 1995
11
Error-Correcting Coding for Digital Communication (context) - Clark, Cain - 1981
11
Decoding linear block codes for minimizing word error rate (context) - Hwang - 1979
10
On finding a cycle basis with a shortest maximal cycle (context) - Chickering, Geiger et al. - 1995 ACM DBLP
9
The use of coding theory in computational complexity
- Feigenbaum - 1995
8
Coding for memory with defective cells (context) - Kuznetsov, Tsybakov - 1974
8
An estimate of complexity of constructing binary linear casc.. (context) - Zyablov - 1971
7
Decoding the Golay codes (context) - Pless - 1986
7
Voronoi regions for binary linear block codes (context) - Agrell - 1996
7
The Hamming-sphere has minimum boundary (context) - Katona - 1975
7
An explicit construction of a sequence of codes attaining th..
- Voss, Hoholdt - 1997
7
Minimal permutation sets for decoding the binary Golay code (context) - Gordon - 1982
7
Graph-theoretic error-correcting codes (context) - Hakimi, Bredeson - 1968
6
Efficient priority first search maximum-likelihood soft deci.. (context) - Han, Hartmann et al. - 1993
6
Weight spectrum of the binary Bose--Chaudhuri--Hocquenghem c.. (context) - Sidelnikov - 1971
6
More efficient soft decoding of the Golay codes (context) - Vardy, Be'ery - 1991
6
the Complexity of Coding (context) - Gelfand, Dobrushin et al. - 1973
5
IEEE Trans (context) - decoding, block - 1980
5
Complexity and sliding-block decodability (context) - Ashley, Karabed et al. - 1996
5
Computing automorphism groups of error-correcting codes (context) - Leon - 1982
5
Spectral techniques for expander codes
- Lafferty, Rockmore - 1997 ACM DBLP
5
Testing and weight distributions of dual codes
- Kiwi DBLP
5
Superimposed concatenated codes (context) - Sugiyama, Kasahara et al. - 1980
4
the complexity of some coding problems (context) - Ntafos, Hakimi - 1981
4
The complexity of computing the covering radius of a code (context) - McLoughlin - 1984
4
Some new NP-complete coding problems (context) - Barg - 1994
4
On decoding by error location and dependent sets of error po.. (context) - Pellikaan - 1992 ACM
4
Asymptotically optimal covering designs (context) - Gordon, Kuperberg et al. - 1996 ACM
4
Algorithms: Main Ideas and Applications (context) - Uspensky, Semenov - 1993 ACM
3
Code design (context) - Honkala, Ostergard - 1997
3
Matchings and coverings in hypergraphs (context) - Furedi - 1988
3
Lower asymptotic bound on the number of linear code words in.. (context) - Blinovskii - 1987
3
Bounded distance + 1 soft decision Reed--Solomon decoding (context) - Berlekamp - 1996
3
Asymptotically good codes correcting insertions, deletions, .. (context) - Shulman, Zuckerman - 1997 ACM
3
A new approach to the general minimum distance decoding prob.. (context) - Levitin, Hartmann - 1985
3
Is code equivalence easy to decide
- Petrank, Roth - 1997
3
Average case complete problems (context) - Gurevich - 1991 ACM DBLP
3
Minimal vectors in linear codes and sharing of secrets
- Ashikhmin, Barg - 1994
3
Complexity of decoding for linear codes (context) - Evseev - 1983
3
On generator matrices of codes (context) - Simonis - 1992
3
A new Reed--Solomon code decoding algorithm based on Newton'.. (context) - Sorger - 1993
3
Fast generalized minimum distance decoding of algebraic-geom.. (context) - Kotter - 1996
3
The Radon transform on Z k 2 (context) - Diaconis, Graham - 1985
3
Computationally efficient soft-decision decoding of linear b.. (context) - Fossorier, Lin - 1996
3
The weight distribution of extended binary primitive BCH cod.. (context) - Desaki, Fujiwara et al. - 1997
2
Asymptotically optimal binary codes of polynomial complexity.. (context) - Ahlswede, Bassalygo et al. - 1995
2
Estimation of the error-correcting complexity of Gallager lo.. (context) - Zyablov, Pinsker - 1975
2
Bounds to the trellis decoding complexity of linear block co.. (context) - Zyablov, Sidorenko - 1993
2
The hardness of approximating optima in lattices, codes, and.. (context) - Arora, Babai et al. - 1993
2
Linear complexity in coding theory (context) - Massey, Schaub - 1988 ACM DBLP
2
Decoding algorithms of error-correcting codes by use of anal.. (context) - Miyakawa, Kaneko - 1975
2
The use of information sets in decoding cyclic codes (context) - Prange - 1962
2
Pooling, splitting and restituting information to overcome t.. (context) - Asmuth, Blakley - 1982
2
Variations on minimal codewords in linear codes
- Ashikhmin, Barg et al. - 1995 ACM DBLP
2
the basic averaging arguments for linear codes (context) - Loeliger - 1994
2
Concatenated decoding algorithm with incomplete inspection o.. (context) - Barg, Dumer - 1986
2
Codes for channels with localized errors (context) - Bassalygo, Gelfand et al. - 1989
2
Decoding complexity bound for linear block codes (context) - Krouk - 1989
2
Decoding by generalized information sets (context) - Krouk, Fedorenko - 1995
2
IEEE Trans (context) - algorithm, minimum et al. - 1988
2
Location-correcting codes
- Roth, Seroussi - 1996
2
Problems of Info (context) - uniform, spectra et al. - 1990
2
Limit probabilities for coranks of matrices over GF (q (context) - Gerth - 1986
2
New approaches to reduced complexity decoding (context) - Coffey, Goodman et al. - 1991
2
the McEliece public-key cryptosystem (context) - van Tilburg - 1990
2
Approximating the number of error locations within a constan.. (context) - Stern - 1993
2
with applications to coding theory (context) - over, field - 1978
2
Two decoding algorithms for linear codes (context) - Dumer - 1989
2
an and R. A. Games, "(n; k; t)-covering systems and error-tr.. (context) - Ch - 1981
2
Problems of Info (context) - linear, defects et al. - 1990
2
Error-locating pairs for cyclic codes
- Duursma, Kotter - 1994
2
The complexity of information set decoding (context) - Coffey, Goodman - 1990
1
Maximal-rank array codes and their application to crisscross.. (context) - Roth - 1991
1
on Foundations of Computer Science (context) - codes, inapproximability et al. - 1995
1
Problems of Info (context) - low-density - 1991
1
New York: Wiley-Interscience Publications (context) - Savage, of - 1976
1
Finding the permutation between equivalent binary codes (context) - Sendrier - 1997
1
Chichester: Wiley-Interscience (context) - Alon, Spencer et al. - 1992
1
Random methods in design theory: A survey (context) - Grable, Phelps - 1995
1
Problems of Info (context) - decoding - 1981
1
A permutation decoding of the (24; 12; 8) Golay code (context) - Wolfmann - 1983
1
Problems of complexity in the theory of error-correcting cod.. (context) - Bassalygo, Zyablov et al. - 1977
1
Algebraic decoding of the (23; 12; 7) Golay code (context) - Elia - 1987
1
also Proc (context) - decoding, presorting - 1997
1
Simple combinatorial decoding of the [23,12,7] Golay code (context) - Blaum, Bruck - 1990
1
th Joint SovietSwedish Int (context) - distance, linear et al. - 1991
1
Regular codes in regular graphs are difficult (context) - Kratochvil - 1994 ACM
1
Kluwer: Boston (context) - Coding - 1997
1
Distance distributions of functions over Hamming spaces (context) - Delsarte - 1975
1
A note on rank and nullity in coding theory (context) - Calabi - 1961 DBLP
1
Plane Models of Drinfeld Modular Curves (context) - Jim'enez - 1996
1
The Nordstrom-Robinson code: representation over GF(4) and e.. (context) - Vardy - 1994
1
Decoding of Reed--Solomon codes beyond (context) - Reed, beyond et al. - 1994
1
Two classes of generalized minimum distance decoding algorit.. (context) - Kovalev - 1986
1
Proc. 4th Intern. Workshop (context) - algebra, coding - 1994
1
Partial ordering of error patterns for maximum likelihood so.. (context) - Snyders - 1992 ACM DBLP
1
Block codes from convolutional codes (context) - Kudryashov, Zakharova - 1989
1
A decoding procedure for multiple-error-correcting cyclic co.. (context) - Kasami - 1964
1
New York: Springer (context) - for, of et al. - 1989
1
Coding decreases delay of messages (context) - Kabatianski, Krouk - 1993
1
Problems of Info (context) - constructions, schemes et al. - 1988
1
A new algorithm for finding minimum-weight codewords in a li.. (context) - Canteaut, Chabaud - 1995
1
Reliability-based code-search algorithms for maximum-likelih.. (context) - Gazelle, Snyders - 1997 DBLP
1
Tools for coset weight enumerators of some codes (context) - Charpin - 1994
1
Complexity of asymptotically optimal code realization by con.. (context) - Gelfand, Dobrushin - 1972
1
Linear-time binary codes correcting localized erasures
- Barg, Zhou - 1997
1
Decoding algorithms of linear block codes (context) - Fedorenko - 1993
1
Description of minimum weight codewords of cyclic codes by a..
- Augot - 1996
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.uni-paderborn.de/fachbereich/AG/agmadh/WWW/english/scripts.html): More
Coding and Cryptography - Körner (1998)
(Correct)
Advanced Algorithms - Network flows - Goemans (1994)
(Correct)
Applicative Programming and Specification - Gilmore (1993)
(Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC