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- W4300609972 abstract "Our main technical result is that, in the coset leader graph of a linear binary code of block length n, the metric balls spanned by constant-weight vectors grow exponentially slower than those in ${0,1}^n$. Following the approach of Friedman and Tillich (2006), we use this fact to improve on the first linear programming bound on the rate of LDPC codes, as the function of their minimal distance. This improvement, combined with the techniques of Ben-Haim and Lytsin (2006), improves the rate vs distance bounds for LDPC codes in a significant sub-range of relative distances." @default.
- W4300609972 created "2022-10-03" @default.
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- W4300609972 date "2014-02-20" @default.
- W4300609972 modified "2023-10-06" @default.
- W4300609972 title "On Coset Leader Graphs of LDPC Codes" @default.
- W4300609972 doi "https://doi.org/10.48550/arxiv.1402.5051" @default.
- W4300609972 hasPublicationYear "2014" @default.
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