119 lines
4.6 KiB
TeX
119 lines
4.6 KiB
TeX
\usepackage[asymptotics,mm,notions,adversary]{cryptocode}
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% Layout
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\newcommand{\scbf}[1]{\noindent\textbf{\textsc{#1}}}
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% Abbreviations
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%% Algorithms
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\newcommand{\TrapGen}{\textsf{TrapGen}\xspace}
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\newcommand{\ExtBasis}{\textsf{ExtBasis}\xspace}
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\newcommand{\SampleR}{\textsf{SampleRight}\xspace}
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\newcommand{\SampleL}{\textsf{SampleLeft}\xspace}
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\newcommand{\GPVSample}{\textsf{GPVSample}\xspace}
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%% Complexity
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\newcommand{\NP}{\textsf{NP}\xspace}
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\newcommand{\redto}{\ensuremath{\preceq_P}}
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%% Primitives
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\newcommand{\ZK}{\textsf{ZK}\xspace}
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\newcommand{\ZKAoK}{\textsf{ZKAoK}\xspace}
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\newcommand{\NIZK}{\textsf{NIZK}\xspace}
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\newcommand{\QANIZK}{\textsf{QA-NIZK}\xspace}
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\newcommand{\PKE}{\textsf{PKE}\xspace}
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\newcommand{\OT}{\textsf{OT}\xspace}
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%% Common
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\newcommand{\Setup}{\ensuremath{\mathsf{Setup}}\xspace}
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\newcommand{\Keygen}{\ensuremath{\mathsf{Keygen}}\xspace}
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\newcommand{\param}{\ensuremath{\mathsf{par}}\xspace}
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\newcommand{\pk}{\ensuremath{\mathsf{pk}}\xspace}
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\newcommand{\sk}{\ensuremath{\mathsf{sk}}\xspace}
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%% ZK
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\newcommand{\trans}{\textsf{trans}\xspace}
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\newcommand{\cmt}{\textsf{cmt}\xspace}
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\newcommand{\com}{\ensuremath{\mathsf{com}}\xspace}
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\newcommand{\chall}{\textsf{chall}\xspace}
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\newcommand{\rsp}{\textsf{response}\xspace}
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\newcommand{\extr}{\textsf{extract}\xspace}
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\newcommand{\Commit}{\ensuremath{\mathsf{Commit}}\xspace}
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\newcommand{\Verify}{\ensuremath{\mathsf{Verify}}\xspace}
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\newcommand{\open}{\ensuremath{\mathsf{open}}\xspace}
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\newcommand{\Open}{\textsf{Open}\xspace}
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% Assumptions/Problems
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%% Pairings
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\newcommand{\DLP}{\textsf{DLP}\xspace}
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\newcommand{\DDH}{\textsf{DDH}\xspace}
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\newcommand{\SXDH}{\textsf{SXDH}\xspace}
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\newcommand{\SDL}{\textsf{SDL}\xspace}
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%% Lattices
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\newcommand{\ISIS}{\ensuremath{\mathsf{ISIS}}\xspace}
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\newcommand{\SIS}{\ensuremath{\mathsf{SIS}}\xspace}
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\newcommand{\LWE}{\ensuremath{\mathsf{LWE}}\xspace}
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\newcommand{\SIVP}{\ensuremath{\textsf{SIVP}_\gamma}\xspace}
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%% Codes
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\newcommand{\SDP}{\ensuremath{\mathsf{SDP}}\xspace}
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%% Models
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\newcommand{\UC}{\textsf{UC}\xspace}
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\newcommand{\ROM}{\textsf{ROM}\xspace}
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%% Experience/Games
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\newcommand{\Exp}[2]{\ensuremath{\mathsf{Exp}^{#1}_{#2}}\xspace}
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\newcommand{\Expt}{\ensuremath{\mathbf{Exp}}\xspace}
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\newcommand{\advantage}[2]{\ensuremath{\mathrm{Advt}^{#1}_{#2}}\xspace}
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\newcommand{\oracle}[2]{\ensuremath{\mathcal O^{\,\mathsf{#1}(\,#2\,)}_{}}\xspace}
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\newcommand{\ensemble}[1]{\ensuremath{\mathcal S_{\mathsf{#1}}^{}}\xspace}
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\newcommand{\Proba}[1]{\ensuremath{\Pr\left[#1\right]}\xspace}
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% Operators
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\newcommand{\iseq}{\overset{?}{=}}
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\newcommand{\sample}{\xspace\ensuremath{\hookleftarrow}\xspace}
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\newcommand{\bigO}{\ensuremath{\mathcal{O}}}
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\newcommand{\softO}{\ensuremath{\tilde{\mathcal{O}}}}
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\newcommand{\Span}{\ensuremath{\mathrm{span}}\xspace}
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\newcommand{\U}{\ensuremath{\mathcal U}}
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% Sets
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%% Usual sets
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\newcommand{\FF}{\xspace\ensuremath{\mathbb{F}}\xspace}
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\newcommand{\RR}{\xspace\ensuremath{\mathbb{R}}\xspace}
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\newcommand{\ZZ}{\xspace\ensuremath{\mathbb{Z}}\xspace}
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\newcommand{\NN}{\xspace\ensuremath{\mathbb{N}}\xspace}
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\newcommand{\CC}{\xspace\ensuremath{\mathbb{C}}\xspace}
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\newcommand{\QQ}{\xspace\ensuremath{\mathbb{Q}}\xspace}
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\newcommand{\Zq}{\xspace\ensuremath{\mathbb{Z}_q}\xspace}
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\newcommand{\bit}{\xspace\ensuremath{\{0,1\}}\xspace}
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\newcommand{\nbit}{\xspace\ensuremath{\{-1,0,1\}}\xspace}
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\newcommand{\permutations}{\ensuremath{\mathfrak S}\xspace}
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%% Pairings
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\newcommand{\Zp}{\xspace\ensuremath{\mathbb{Z}_p}\xspace}
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\newcommand{\GG}{\xspace\ensuremath{\mathbb{G}}\xspace}
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\newcommand{\Gh}{\xspace\ensuremath{\widehat{\mathbb{G}}}\xspace}
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\newcommand{\GT}{\xspace\ensuremath{\mathbb{G}_T}\xspace}
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\newcommand{\atob}[2]{\xspace\ensuremath{\{#1,\ldots,\#2\}}}
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% Primitives
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%% Dynamic Group Signatures
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\newcommand{\crt}{\mathsf{cert}}
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\newcommand{\scr}{\mathsf{sec}}
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\newcommand{\usk}{\mathsf{usk}}
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\newcommand{\upk}{\mathsf{upk}}
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\newcommand{\Ngs}{{N_\mathsf{gs}}}
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\newcommand{\gspk}{\mathcal{Y}}
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\newcommand{\join}{\mathsf{J}}
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\newcommand{\Sign}{\mathsf{Sign}}
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\newcommand{\user}{\mathsf{user}}
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\newcommand{\users}{\mathsf{users}}
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\newcommand{\GM}{\mathsf{GM}}
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\newcommand{\OA}{\mathsf{OA}}
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\newcommand{\ok}{\mathsf{ok}}
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\newcommand{\transcripts}{\mathsf{transcripts}}
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\newcommand{\transcript}{\mathsf{transcript}}
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\newcommand{\trace}{\mathsf{trace}}
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\newcommand{\ajoin}{\mathsf{a}\textrm{-}\mathsf{join}}
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\newcommand{\bjoin}{\mathsf{b}\textrm{-}\mathsf{join}}
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\newcommand{\pjoin}{\mathsf{p}\textrm{-}\mathsf{join}}
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\newcommand{\interface}{\mathcal{I}}
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\newcommand{\ssigma}{\boldsymbol{\sigma}\xspace}
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\newcommand{\ID}{\ensuremath{\mathsf{ID}}\xspace}
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% Other
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\newcommand{\TODO}{\textbf{\textcolor{red}{TODO}}}
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