diff --git a/macros.tex b/macros.tex
index 29ad914..03596ce 100644
--- a/macros.tex
+++ b/macros.tex
@@ -4,11 +4,21 @@
 %% Algorithms
 \newcommand{\TrapGen}{\textsf{TrapGen}\xspace}
 \newcommand{\ExtBasis}{\textsf{ExtBasis}\xspace}
-\newcommand{\SampleR}{\textsf{SampleR}\xspace}
+\newcommand{\SampleR}{\textsf{SampleRight}\xspace}
+\newcommand{\SampleL}{\textsf{SampleLeft}\xspace}
+\newcommand{\GPVSample}{\textsf{GPVSample}\xspace}
+
+% Assumptions/Problems
+\newcommand{\SIS}{\textsf{SIS}\xspace}
+\newcommand{\LWE}{\textsf{LWE}\xspace}
+\newcommand{\SIVP}{\ensuremath{\textsf{SIVP}_\gamma}\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
@@ -16,3 +26,9 @@
 \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{\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\}}}