40 lines
1.4 KiB
TeX
40 lines
1.4 KiB
TeX
% Abbreviations
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%% Usual
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\newcommand{\PPT}{\textsf{PPT}\xspace}
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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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% Assumptions/Problems
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%% Pairings
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\newcommand{\DDH}{\textsf{DDH}\xspace}
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\newcommand{\SXDH}{\textsf{SXDH}\xspace}
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%% Lattices
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\newcommand{\SIS}{\textsf{SIS}\xspace}
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\newcommand{\LWE}{\textsf{LWE}\xspace}
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\newcommand{\SIVP}{\ensuremath{\textsf{SIVP}_\gamma}\xspace}
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% Operators
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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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% Sets
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%% Usual sets
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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{\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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%% 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{\hat{\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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