\usepackage[asymptotics,mm]{cryptocode}
% Abbreviations
%% Algorithms
\newcommand{\TrapGen}{\textsf{TrapGen}\xspace}
\newcommand{\ExtBasis}{\textsf{ExtBasis}\xspace}
\newcommand{\SampleR}{\textsf{SampleRight}\xspace}
\newcommand{\SampleL}{\textsf{SampleLeft}\xspace}
\newcommand{\GPVSample}{\textsf{GPVSample}\xspace}
%% Complexity
\newcommand{\NP}{\textsf{NP}\xspace}
\newcommand{\redto}{\ensuremath{\preceq_P}}

% Assumptions/Problems
%% Pairings
\newcommand{\DLP}{\textsf{DLP}\xspace}
\newcommand{\DDH}{\textsf{DDH}\xspace}
\newcommand{\SXDH}{\textsf{SXDH}\xspace}
%% Lattices
\newcommand{\SIS}{\textsf{SIS}\xspace}
\newcommand{\LWE}{\textsf{LWE}\xspace}
\newcommand{\SIVP}{\ensuremath{\textsf{SIVP}_\gamma}\xspace}
%% Models
\newcommand{\UC}{\textrm{UC}\xspace}



% Operators
\newcommand{\sample}{\xspace\ensuremath{\hookleftarrow}\xspace}
\newcommand{\bigO}{\ensuremath{\mathcal{O}}}
\newcommand{\softO}{\ensuremath{\tilde{\mathcal{O}}}}
\newcommand{\Span}{\ensuremath{\mathrm{span}}\xspace}

% Sets
%% Usual sets
\newcommand{\RR}{\xspace\ensuremath{\mathbb{R}}\xspace}
\newcommand{\ZZ}{\xspace\ensuremath{\mathbb{Z}}\xspace}
\newcommand{\CC}{\xspace\ensuremath{\mathbb{C}}\xspace}
\newcommand{\QQ}{\xspace\ensuremath{\mathbb{Q}}\xspace}
\newcommand{\Zq}{\xspace\ensuremath{\mathbb{Z}_q}\xspace}
\newcommand{\bit}{\xspace\ensuremath{\{0,1\}}\xspace}
%% Pairings
\newcommand{\Zp}{\xspace\ensuremath{\mathbb{Z}_p}\xspace}
\newcommand{\GG}{\xspace\ensuremath{\mathbb{G}}\xspace}
\newcommand{\Gh}{\xspace\ensuremath{\hat{\mathbb{G}}}\xspace}
\newcommand{\GT}{\xspace\ensuremath{\mathbb{G}_T}\xspace}
\newcommand{\atob}[2]{\xspace\ensuremath{\{#1,\ldots,\#2\}}}