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Complexity Issues in Coding Theory (1997)  (Make Corrections)  (10 citations)
Alexander Barg
Electronic Colloquium on Computational Complexity (ECCC)



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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...

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Error Exponents of Expander Codes Under Linear-Complexity Decoding - Barg (2002)   (Correct)

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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)

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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" }
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