X-Git-Url: https://git.distorted.org.uk/~mdw/doc/ips/blobdiff_plain/76f457cbe78101034f0254a9ea940ca65cee1535..53aa10b5d9431ced4e98673cc872c6627cac1d5f:/enc-ies.tex diff --git a/enc-ies.tex b/enc-ies.tex index cd0f5c6..7150019 100644 --- a/enc-ies.tex +++ b/enc-ies.tex @@ -1,9 +1,10 @@ \xcalways\section{Integrated public-key encryption schemes}\x The formulation here is original work by the author. I've tried to -generalize the work by (among others), Shoup, and Abdalla, Bellare and -Rogaway. The final proof is from a Usenet article prompted by David -Hopwood, but based on the DHAES proof by ABR. +generalize the work by (among others), Shoup \cite{Shoup:2001:PIS}, and +Abdalla, Bellare and Rogaway \cite{Abdalla:2001:DHIES}. The final proof is +from a Usenet article prompted by David Hopwood, but based on the DHIES proof +in \cite{Abdalla:2001:DHIES}. \xcalways\subsection{Introduction and definitions}\x @@ -133,8 +134,8 @@ Hopwood, but based on the DHAES proof by ABR. \[ \Pr[S] = \frac{\Adv{ohd}{\Xid{\mathcal{K}}{OWF}^{\mathcal{T}, H}}(A)}{2} + \frac{1}{2}. \]% - Let $F$ be the event that $A$ queries $H$ at $x^*$. Then by Shoup's Lemma - (lemma~\ref{lem:shoup}, page~\pageref{lem:shoup}), + Let $F$ be the event that $A$ queries $H$ at $x^*$. Then by + Lemma~\ref{lem:shoup} (slide~\pageref{lem:shoup}), \[ \left|\Pr[S] - \frac{1}{2}\right| \le \Pr[F]. \] Now consider this adversary $I$, attempting to invert the one-way function.