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relative postioning in tikzpictures
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@@ -91,53 +91,72 @@ $\texttt{shk} = \texttt{KEM.Decaps}(\texttt{sk}, \texttt{ct})$
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\end{frame}
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\begin{frame}{Minimal key exchange using KEMs}
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\begin{tikzpicture}
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\draw (-3,0) -- (-3,-5) (3,0) -- (3,-5);
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\node at (-3,.3) {Initiator};
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\node at (3,.3) {Responder};
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\draw[<-] (-3,-1) -- node[midway,above] {pk} (3,-1);
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\draw[->] (-3,-3) -- node[midway,above] {ct} (3,-3);
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\draw[<-] (-3,-4) -- node[midway,above] {(ack)} (3,-4);
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\begin{tikzpicture}[shorten > = 1pt,shorten < = 1pt]
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\draw (-3,0) node[above](initiator){Initiator\strut} -- coordinate[pos=.2](pk-y) coordinate[pos=.6](ct-y)coordinate[pos=.8](ack-y)+(0,-5);
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\draw (3,0) node[above](responder){Responder}-- +(0,-5);
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\draw[<-](pk-y-|initiator) -- node[above]{pk} (pk-y-|responder);
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\draw[->](ct-y-|initiator) -- node[above] {ct} (ct-y-|responder);
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\draw[<-](ack-y-|initiator) -- node[above] {(ack)} (ack-y-|responder);
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\end{tikzpicture}
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\end{frame}
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\begin{frame}{Three encapsulations: Achieving mutual authentication \& forward secrecy}
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\tikzset{shorten > = 1pt,shorten < = 1pt}
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\begin{columns}
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\begin{column}{.30\textwidth}
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\begin{tikzpicture}
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\draw (-1,0) -- (-1,-5) (1,0) -- (1,-5);
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\node at (-1,.1) {Initiator};
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\node at (1,.1) {Responder};
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\draw[<-] (-1,-1) -- node[midway,above] {spkr} (1,-1);
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\draw[->] (-1,-3) -- node[midway,above] {sctr} (1,-3);
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\draw[<-] (-1,-3.8) -- node[midway,above] {(ack)} (1,-3.8);
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\draw (-1,0) node[above](initiator){Initiator\strut} --
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coordinate[pos=.2](spkr-y)
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coordinate[pos=.6](sctr-y)
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coordinate[pos=.76](ack-y)+(0,-5);
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\draw (1,0) node[above](responder){Responder}-- +(0,-5);
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\draw[<-](spkr-y-|initiator) -- node[above]{spkr} (spkr-y-|responder);
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\draw[->](sctr-y-|initiator) -- node[above] {sctr} (sctr-y-|responder);
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\draw[<-](ack-y-|initiator) -- node[above] {(ack)} (ack-y-|responder);
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\end{tikzpicture}
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Responder Auth
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\end{column}
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\begin{column}{.30\textwidth}
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\begin{tikzpicture}
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\draw (-1,0) -- (-1,-5) (1,0) -- (1,-5);
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\node at (-1,.1) {Initiator};
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\node at (1,.1) {Responder};
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\draw[->] (-1,-1) -- node[midway,above] {spki} (1,-1);
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\draw[->] (-1,-3) -- node[midway,above] {H(spki)} (1,-3);
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\draw[<-] (-1,-3.8) -- node[midway,above] {scti} (1,-3.8);
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\draw[->] (-1,-4.6) -- node[midway,above] {(ack)} (1,-4.6);
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\draw (-1,0) node[above](initiator){Initiator\strut} --
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coordinate[pos=.2](spki-y)
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coordinate[pos=.6](Hspki-y)
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coordinate[pos=.76] (scti-y)
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coordinate[pos=.92](ack-y)+(0,-5);
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\draw (1,0) node[above](responder){Responder}-- +(0,-5);
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\draw[->](spki-y-|initiator) -- node[above]{spki} (spki-y-|responder);
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\draw[->](Hspki-y-|initiator) -- node[above] {H(spki)} (Hspki-y-|responder);
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\draw[<-](scti-y-|initiator) -- node[above]{scti} (scti-y-|responder);
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\draw[->](ack-y-|initiator) -- node[above] {(ack)} (ack-y-|responder);
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\end{tikzpicture}
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Initiator Auth
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\end{column}
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\begin{column}{.30\textwidth}
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\begin{tikzpicture}
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\draw (-1,0) -- (-1,-5) (1,0) -- (1,-5);
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\node at (-1,.1) {Initiator};
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\node at (1,.1) {Responder};
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\draw[->] (-1,-3) -- node[midway,above] {epki} (1,-3);
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\draw[<-] (-1,-3.8) -- node[midway,above] {ecti} (1,-3.8);
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\draw[->] (-1,-4.6) -- node[midway,above] {(ack)} (1,-4.6);
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\draw (-1,0) node[above](initiator){Initiator\strut} --
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coordinate[pos=.6](epki-y)
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coordinate[pos=.76] (ecti-y)
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coordinate[pos=.92](ack-y)+(0,-5);
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\draw (1,0) node[above](responder){Responder}-- +(0,-5);
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\draw[->](epki-y-|initiator) -- node[above]{epki} (epki-y-|responder);
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\draw[<-](ecti-y-|initiator) -- node[above]{ecti} (ecti-y-|responder);
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\draw[->](ack-y-|initiator) -- node[above] {(ack)} (ack-y-|responder);
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\end{tikzpicture}
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Forward secrecy
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\end{column}
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@@ -147,16 +166,20 @@ Forward secrecy
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\begin{frame}{Combining the three encapsulations in one protocol}
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\begin{tikzpicture}
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\draw (-3,0) -- (-3,-5) (3,0) -- (3,-5);
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\node at (-3,.1) {Initiator};
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\node at (3,.1) {Responder};
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\draw[->] (-3,-1) -- node[midway,above] {spki} (3,-1);
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\draw[<-] (-3,-1.8) -- node[midway,above] {spkr} (3,-1.8);
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\begin{tikzpicture}[shorten > = 1pt,shorten < = 1pt]
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\draw (-3,0) node[above](initiator){Initiator\strut} -- coordinate[pos=.2](spki-y)
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coordinate[pos=.35](spkr-y)
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coordinate[pos=.6](epki-y)
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coordinate[pos=.75](scti-y)
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coordinate[pos=.9](ack-y)+(0,-5);
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\draw (3,0) node[above](responder){Responder}-- +(0,-5);
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\draw[->](spki-y-|initiator) -- node[above] {spki} (spki-y-|responder);
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\draw[<-](spkr-y-|initiator) -- node[above] {spkr} (spkr-y-|responder);
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\draw[->](epki-y-|initiator) -- node[above] {epki, sctr, H(spki)} (epki-y-|responder);
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\draw[<-](scti-y-|initiator) -- node[above] {scti,ecti} (scti-y-|responder);
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\draw[->](ack-y-|initiator) -- node[above] {(ack)} (ack-y-|responder);
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\draw[->] (-3,-3) -- node[midway,above] {epki, sctr, H(spki)} (3,-3);
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\draw[<-] (-3,-3.8) -- node[midway,above] {scti,ecti} (3,-3.8);
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\draw[->] (-3,-4.6) -- node[midway,above] {(ack)} (3,-4.6);
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\end{tikzpicture}
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Note that the initiator is not authenticated until they send `(ack)`.
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