update notations and fix typos

This commit is contained in:
Zheyuan Wu
2025-02-25 20:41:35 -06:00
parent 419ea07352
commit 27bff83685
71 changed files with 920 additions and 430 deletions

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@@ -98,7 +98,7 @@ $x_1\equiv x_2\mod N$
So it's one-to-one.
EOP
QED
Let $y\in \mathbb{Z}_N^*$, letting $x=y^d\mod N$, where $d\equiv e^{-1}\mod \phi(N)$
@@ -130,7 +130,7 @@ By RSA assumption
The second equality follows because for any finite $D$ and bijection $f:D\to D$, sampling $y\in D$ directly is equivalent to sampling $x\gets D$, then computing $y=f(x)$.
EOP
QED
#### Theorem If inverting RSA is hard, then factoring is hard.