52 lines
1.5 KiB
TeX
52 lines
1.5 KiB
TeX
% Games
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\newcommand{\game}{\textbf{Game}\xspace}
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\newcommand{\oracle}{\textbf{Oracle}\xspace}
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\newcommand{\inp}{\cdot}
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\newcommand{\field}[1]{\mathbb{Z}_{#1}}
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\newcommand{\secparamter}{\lambda}
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\newcommand{\randomsample}{\leftarrow}
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\newcommand{\randomassign}{\leftarrow}
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\newcommand{\assign}{:=} % TODO: \coloneqq
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\newcommand{\encoded}[1]{\underline{#1}}
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\newcommand{\m}{m}
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\newcommand{\signature}{\sigma}
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\newcommand{\pubkey}{pk}
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\newcommand{\privkey}{sk}
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\newcommand{\groupelement}[1]{#1}
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\newcommand{\agmgroupelement}[2]{[\groupelement{#1}]_{\overset{\rightharpoonup}{#2}}}
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\newcommand{\group}[1]{\mathbb{#1}}
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\newcommand{\oraclequeries}{q_o}
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\newcommand{\hashqueries}{q_h}
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\newcommand{\test}{\overset{?}{=}}
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\newcommand{\ch}{\textbf{ch}}
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\newcommand{\messagespace}{\mathcal{M}}
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\newcommand{\pset}[1]{\mathbf{#1}}
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% Special Dlog
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\newcommand{\sdlog}{\text{Ed-DLog}\xspace}
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\newcommand{\somdl}{\text{Ed-OMDL}\xspace}
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% SIM algotithm
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\newcommand{\simalg}{\textit{Sim}\xspace}
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% Intermediate Game
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\newcommand{\igame}{\text{Ed-IDLOG}\xspace}
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\newcommand{\ioracle}{\textit{Chall}\xspace}
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% EdDSA procedures
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\newcommand{\keygen}{\textit{KeyGen}\xspace}
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\newcommand{\sign}{\textit{Sign}\xspace}
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\newcommand{\verify}{\textit{Verify}\xspace}
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% Security Notions
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\newcommand{\cma}{\text{SUF-CMA}\xspace}
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\newcommand{\adversary}[1]{\mathcal{#1}}
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\newcommand{\advantage}[2]{\text{Adv}_{#1}^{#2}}
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\newcommand{\prone}[1]{\Pr[#1 \Rightarrow 1]}
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% Oracle
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\newcommand{\Osign}{\textit{Sign}\xspace}
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\newcommand{\Odl}{\textif{DL}\xspace}
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% Structrues
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\newcommand{\curve}{E} |