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doc: typo#39

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wenjin1997 wants to merge 3 commits into
z2o-k7e:mainfrom
wenjin1997:patch-2
Open

doc: typo#39
wenjin1997 wants to merge 3 commits into
z2o-k7e:mainfrom
wenjin1997:patch-2

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@wenjin1997

@wenjin1997 wenjin1997 commented Nov 26, 2023

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$$ srs=\left( \begin{array}{ccccc} [1]_1, & [\chi]_1, & [\chi^2]_1, &\cdots, & [\chi^D]_1,\\ [\rho]_1, & [\rho\chi]_1, & [\rho\chi^2]_1, &\cdots, & [\rho\chi^D]_1,\\ \end{array} \right),([1]_1, [\rho]_1,[1]_1,[\chi]_2) $$

上述系统参数中至少应该有 $[1]_2$ ,因为在检查求值阶段会用到该参数 $[1]_2$

$$ e(C_f - y\cdot[1]_1-y'\cdot[\rho]_1, [1]_2) \overset{?}{=} e([q(X)]_1, [\chi]_2-\zeta\cdot[1]_2) $$

为保持一致性,个人认为生成在群 $H$ 上的系统参数应该由 $([1]_1, [\rho]_1,[1]_1,[\chi]_2)$ 改为 $([1]_2, [\rho]_2,[1]_2,[\chi]_2)$。关于这点也不是特别确定后续是否会用到 $[\rho]_2$ ,不过既然是系统参数,个人认为还是应该要生成的。

如有理解不对的地方,还请指正。

$$
{id_a}(X) = X, \quad {id_b}(X) = k_1\cdot X, \quad  {id_a}(X) = k_2\cdot X
$$
改为:
$$
{id_a}(X) = X, \quad {id_b}(X) = k_1\cdot X, \quad  {id_c}(X) = k_2\cdot X
$$
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