141 lines
4.5 KiB
TeX
141 lines
4.5 KiB
TeX
%% Common header
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\usepackage{amsmath,amsfonts,amssymb,url}
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\usepackage{mdwlist}
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\usepackage{graphicx,graphpap}
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\usepackage{soul}
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\usepackage{color}
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\newcommand{\todo}[1]{\color{red}{\bf To do: #1} \color{black}}
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\newcommand{\myul}[2][red]{\setulcolor{#1}\ul{#2}\setulcolor{red}}
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\newcommand{\squish}{
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\setlength{\topsep}{0pt}
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\setlength{\itemsep}{0ex}
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\vspace{-1ex}
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\setlength{\parskip}{0pt}}
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\newcommand{\squishend}{\vskip -1ex\relax}
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\newenvironment{gamequote}
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{\list{}{\rightmargin0pt\relax}\item\relax}
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{\endlist}
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\newcommand{\Adv}{\mathcal{A}}
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\newcommand{\game}{\mathrm{Game~}}
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\newcommand{\negl}{\mathit{negl}}
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\newcommand{\hash}{\ensuremath{F}}
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\newcommand{\hashone}{\ensuremath{H_1}}
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\newcommand{\hashtwo}{\ensuremath{H_2}}
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\newcommand{\bigO}{\ensuremath{\mathcal{O}}}
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\newcommand{\Z}{\ensuremath{\mathbb{Z}}}
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\newcommand{\F}{\ensuremath{\mathbb{F}}}
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\newcommand{\R}{\ensuremath{\mathbb{R}}}
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\newcommand{\C}{\ensuremath{\mathbb{C}}}
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\newcommand{\Q}{\ensuremath{\mathbb{Q}}}
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\newcommand{\G}{\ensuremath{\mathbb{G}}}
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\newcommand{\GT}{\ensuremath{\mathbb{G}_T}}
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\newcommand{\map}{e}
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\newcommand{\BMsetup}{\mathsf{BSetup}}
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\newtheorem{theorem}{Theorem}[section]
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{claim}[theorem]{Claim}
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\newtheorem{cor}[theorem]{Corollary}
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\newtheorem{fact}[theorem]{Fact}
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%\theoremstyle{definition}
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\newtheorem{definition}[theorem]{Definition}
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\newcommand{\bit}{\{0,1\}}
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\newcommand{\half}{{\frac{1}{2}}}
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\newcommand{\Zp}{\ensuremath{{\Z_p}}}
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\newcommand{\Zps}{\ensuremath{{\Z_p^*}}}
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\newcommand{\SSS}{\ensuremath{\Sigma}}
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\newcommand{\Attrmax}{\ensuremath{Attr_{\mathrm{max}}}}
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\newcommand{\lmax}{\ensuremath{\ell_{\mathrm{max}}}}
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\newcommand{\nmax}{\ensuremath{n_{\mathrm{max}}}}
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\newcommand{\kmax}{\ensuremath{k_{\mathrm{max}}}}
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\newcommand{\MM}{\ensuremath{\mathcal{M}}}
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\newcommand{\weil}{\ensuremath{\hat{e}}}
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\newcommand{\tuple}[1]{\langle #1 \rangle}
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\newcommand{\e}{\epsilon}
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%\newcommand{\st}{\;\;\mbox{s.t.}\;\;}
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\newcommand{\rgets}{\stackrel{\scriptscriptstyle{R}}{\leftarrow}}
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\newcommand{\Setup}{\mathsf{Setup}}
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\newcommand{\Encrypt}{\mathsf{Encrypt}}
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\newcommand{\Decrypt}{\mathsf{Decrypt}}
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\newcommand{\KeyGen}{\mathsf{KeyGen}}
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%\newcommand{\Pr}{\ensuremath{\mathrm{Pr}}}
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\newcommand{\CT}{\ensuremath{\mathrm{CT}}}
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\newcommand{\TK}{\ensuremath{\mathrm{TK}}}
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\newcommand{\SK}{\ensuremath{\mathrm{SK}}}
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\newcommand{\MK}{\ensuremath{\mathrm{MK}}}
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\newcommand{\PK}{\ensuremath{\mathrm{PK}}}
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\newcommand{\PP}{\ensuremath{\mathrm{PP}}}
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\newcommand{\MSK}{\ensuremath{\mathrm{MSK}}}
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\newcommand{\GP}{\ensuremath{\mathrm{GP}}}
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\newcommand{\ASK}{\ensuremath{\mathrm{ASK}}}
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\newcommand{\GID}{\ensuremath{\mathrm{GID}}}
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\newcommand{\Phve}{P^{\scriptscriptstyle{\mathrm{HVE}}}}
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\newcommand{\AlgA}{\ensuremath{{\cal A}}}
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\newcommand{\AlgB}{\ensuremath{{\cal B}}}
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\newcommand{\Pdist}[1]{{\cal P}_{#1}}
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\newcommand{\Rdist}[1]{{\cal R}_{#1}}
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\newcommand{\EXP}[1]{\mathsf{EXP}_{\scriptscriptstyle{\text{#1}}}}
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\newcommand{\deq}{\mathrel{:=}}
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\newcommand{\GG}{\ensuremath{\mathcal{G}}}
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\newcommand{\PhiHVE}{\ensuremath{\Phi_{\scriptscriptstyle \mathrm{HVE}}}}
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\newcommand{\PhiEq}{\ensuremath{\Phi_{\mathrm{eq}}}}
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\newcommand{\true}{\ensuremath{\textsf{true}}}
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\newcommand{\ID}{\ensuremath{\mathcal{I}}}
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\newcommand{\EE}{\ensuremath{\mathcal{E}}}
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\newcommand{\Etr}{\ensuremath{\mathcal{E}_{\scriptscriptstyle{\text{TR}}}}}
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\newcommand{\abort}{\ensuremath{\mathsf{abort}}}
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\newcommand{\valid}{\ensuremath{\mathsf{valid}}}
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\newcommand{\invalid}{\ensuremath{\mathsf{invalid}}}
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\newcommand{\eDBDH}{\ensuremath{\e_{\scriptscriptstyle{DBDH}}}}
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\newcommand{\eDTPDH}{\ensuremath{\e_{\scriptscriptstyle{D3DH}}}}
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\newcommand{\eSD}{\ensuremath{\e_{\scriptscriptstyle{SD}}}}
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\newcommand{\eBSD}{\ensuremath{\e_{\scriptscriptstyle{BSD}}}}
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\newcommand{\eDSTPDH}{\ensuremath{\e_{\scriptscriptstyle{DS3DH}}}}
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\newcommand{\inputenc}{I_{enc}}
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\newcommand{\inputkey}{I_{key}}
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\newtheorem{defn}{Definition}
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\def\x{{\vec{x}}}
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\def\y{{\vec{y}}}
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\newenvironment{tightenum}
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{\begin{enumerate}
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\setlength{\itemsep}{1pt}
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\setlength{\parskip}{0pt}
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\setlength{\parsep}{0pt}}
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{\end{enumerate}}
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\newcommand{\qed}{\hfill\Box}
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\newenvironment{proof}{
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\vspace*{-\parskip}\noindent\textit{Proof.}}{$\qed$
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\medskip
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}
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\newenvironment{proofsketch}{
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\vspace*{-\parskip}\noindent\textit{Proof sketch.}}{$\qed$
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\medskip
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}
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\newcommand{\ourparagraph}[1]{\smallskip\noindent {\bf #1} }
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\newcommand{\betterparagraph}[1]{\smallskip\noindent {\em #1.} }
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\newcommand{\etal}{{\em et al.}}
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\newcommand{\var}{\mathrm}
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