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- W1490299412 abstract "For a class $mathcal{C}$ of binary linear codes, we write $theta_{mathcal{C}}colon (0,1) to [0,frac{1}{2}]$ for the maximum-likelihood decoding threshold function of $mathcal{C}$, the function whose value at $R in (0,1)$ is the largest bit-error rate $p$ that codes in $mathcal{C}$ can tolerate with a negligible probability of maximum-likelihood decoding error across a binary symmetric channel. We show that, if $mathcal{C}$ is the class of cycle codes of graphs, then $theta_{mathcal{C}}(R) le frac{(1-sqrt{R})^2}{2(1+R)}$ for each $R$, and show that equality holds only when $R$ is asymptotically achieved by cycle codes of regular graphs." @default.
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- W1490299412 date "2015-04-20" @default.
- W1490299412 modified "2023-09-27" @default.
- W1490299412 title "The maximum-likelihood decoding threshold for graphic codes." @default.
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