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- W2964054932 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, we use this fact to improve on the first linear programming bound on the rate of low-density parity check (LDPC) codes, as the function of their minimal relative distance. This improvement, combined with the techniques of Ben-Haim and Litsyn, improves the rate versus distance bounds for LDPC codes in a significant subrange of relative distances." @default.
- W2964054932 created "2019-07-30" @default.
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- W2964054932 date "2015-08-01" @default.
- W2964054932 modified "2023-10-16" @default.
- W2964054932 title "On Coset Leader Graphs of LDPC Codes" @default.
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- W2964054932 doi "https://doi.org/10.1109/tit.2015.2438716" @default.
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