I was bored and tried something that I saw in the manual. It is the double line example on manual p.160 : It is as if the blueish part was making a sharp cornered infinity sign outside the clipped part. So I used (with egreg's nice colors)
\documentclass{article}
\usepackage{xcolor}
\usepackage{tikz}
\definecolor{RedNo}{HTML}{EF2B2D}
\definecolor{BlueNo}{HTML}{002868}
\begin{document}
\begin{tikzpicture}
%\clip (0,0) rectangle (22mm,16mm);
\fill[RedNo] (0,0) rectangle (22mm,16mm);
\draw[smooth cycle, draw=white,double=BlueNo,line width=1mm,double distance = 2mm]
(8mm,8mm) -- (24mm,8mm) -- (24mm,18mm) -- (8mm,18mm)--%
(8mm,-2mm) -- (-2mm,-2mm) -- (-2mm,8mm) -- cycle;
\end{tikzpicture}
\end{document}
This is what you get.

Basically, the whole trick is the smooth cycle option. If you uncomment line in between you get the original flag. :)
EDIT : After having fun with the loops, as Torbjørn T. quickly noticed, one can also directly put two strokes of double line over a red rectangle without doing the loop around it.
\documentclass{article}
\usepackage{xcolor}
\usepackage{tikz}
\definecolor{RedNo}{HTML}{EF2B2D}
\definecolor{BlueNo}{HTML}{002868}
\begin{document}
\begin{tikzpicture}
\fill[RedNo] (0,0) rectangle (22mm,16mm);
\draw[draw=white,double=BlueNo,line width=1mm,double distance = 2mm]%
(8mm,0) -- (8mm,16mm) (0,8mm) -- (22mm,8mm);
\end{tikzpicture}
\end{document}
potraceor a similar software? In this example it would be much simpler coding it by hand, anyway. – Martin Scharrer Nov 21 '11 at 15:35converting, don't you try to create the flag by yourself? It's just a red rectangle, and over it two white rectangles and two dark blue rectangles... – Nicolás Ozimica Nov 21 '11 at 15:36potrace? Inkscape has a trace utility built inPath -> Trace Bitmap.... – qubyte Nov 21 '11 at 16:20