improve details in presentation

1 files changed, 12 insertions, 12 deletions

diff --git a/presentations/comprehensive/main.tex b/presentations/comprehensive/main.tex
index a0f3a06..354ab94 100644
--- a/presentations/comprehensive/main.tex
+++ b/presentations/comprehensive/main.tex
@@ -1207,7 +1207,7 @@ But of course we use modern instantiations.
 \begin{frame}{Exchange setup: Create a denomination key (RSA)}
    \begin{minipage}{6cm}
     \begin{enumerate}
-    \item Pick random primes $p,q$.
+    \item Generate random primes $p,q$.
     \item Compute $n := pq$, $\phi(n) = (p-1)(q-1)$
     \item Pick small $e < \phi(n)$ such that
           $d := e^{-1} \mod \phi(n)$ exists.
@@ -1236,8 +1236,8 @@ But of course we use modern instantiations.
 \begin{frame}{Merchant: Create a signing key (EdDSA)}
   \begin{minipage}{6cm}
     \begin{itemize}
-  \item pick random $m \mod o$ as private key
-  \item $M = mG$ public key
+  \item Generate random number $m \mod o$ as private key
+  \item Compute public key $M := mG$
   \end{itemize}
   \end{minipage}
   \begin{minipage}{6cm}
@@ -1260,8 +1260,8 @@ But of course we use modern instantiations.
 \begin{frame}{Customer: Create a planchet (EdDSA)}
   \begin{minipage}{8cm}
   \begin{itemize}
-  \item Pick random $c \mod o$ private key
-  \item $C = cG$ public key
+  \item Generate random number $c \mod o$ as private key
+  \item Compute public key $C := cG$
   \end{itemize}
   \end{minipage}
   \begin{minipage}{4cm}
@@ -1286,7 +1286,7 @@ But of course we use modern instantiations.
     \begin{enumerate}
     \item Obtain public key $(e,n)$
     \item Compute $f := FDH(C)$, $f < n$.
-    \item Pick blinding factor $b \in \mathbb Z_n$
+    \item Generate random blinding factor $b \in \mathbb Z_n$
     \item Transmit $f' := f b^e \mod n$
     \end{enumerate}
   \end{minipage}
@@ -1520,8 +1520,8 @@ But of course we use modern instantiations.
   \begin{minipage}{8cm}
    \begin{enumerate}
     \item Create private keys $c,t \mod o$
-    \item Define $C = cG$
-    \item Define $T = tG$
+    \item Compute $C := cG$
+    \item Compute $T := tG$
     \item Compute DH \\ $cT = c(tG) = t(cG) = tC$
     \end{enumerate}
    \end{minipage}
@@ -1545,9 +1545,9 @@ But of course we use modern instantiations.
     Given partially spent private coin key $c_{old}$:
    \begin{enumerate}
 %    \item Let $C_{old} := c_{old}G$ (as before)
-    \item Pick random $c_{new} \mod o$ private key
-    \item $C_{new} = c_{new}G$ public key
-    \item Pick random $b_{new}$
+    \item Generate random $c_{new} \mod o$ as private key
+    \item Compute public key $C_{new} = c_{new}G$
+    \item Generate random $b_{new}$
     \item Compute $f_{new} := FDH(C_{new})$, $m < n$.
     \item Transmit $f'_{new} := f_{new} b_{new}^e \mod n$
    \end{enumerate}
@@ -1585,7 +1585,7 @@ But of course we use modern instantiations.
     Given partially spent private coin key $c_{old}$:
    \begin{enumerate}
     \item Let $C_{old} := c_{old}G$ (as before)
-    \item Create random private transfer key $t \mod o$
+    \item Generate random private transfer key $t \mod o$
     \item Compute $T := tG$
     \item Compute $X := c_{old}(tG) = t(c_{old}G) = tC_{old}$
     \item Derive $c_{new}$ and $b_{new}$ from $X$