Reorder sentences in 4d
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\item LEDAcrypt is based on the hardness of the decoding problem for linear
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codes. Given a parity-check matrix $H$ and a received codeword $y$, the
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syndrome is $s=yH$. Find a minimum-weight solution $z_0$ for the equation
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$s=zH$. The best estimate for the received codeword is $x=y+z_0$. Finding
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a minimum-weight solution to $s=zH$ given $s$ and $H$ is
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syndrome is $s=yH$. The best estimate for the received codeword is
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$x=y+z_0$. Find a minimum-weight solution $z_0$ for the equation $s=zH$.
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Finding a minimum-weight solution to $s=zH$ given $s$ and $H$ is
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$\mathsf{NP}$-hard.
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\item \TODO
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