diff --git a/exam/ex.tex b/exam/ex.tex index 1643459..8e23599 100644 --- a/exam/ex.tex +++ b/exam/ex.tex @@ -2,6 +2,7 @@ \usepackage[english]{babel} \usepackage{amsmath,amssymb,amsthm} \usepackage{color} +\usepackage{units} \newcommand{\TODO}{\textcolor{red}{TO DO}} @@ -115,7 +116,11 @@ $M_1,\cdots,M_l$. Finally, the padding (if any) has to be removed from $M_1,\cdots,M_l$ to obtain the original message block (102 bits). - \item \TODO + \item The length of the message $M$ is limited by the counter, which is at + most 26 bits long. Since the very first counter ($\langle 0\rangle_{26}$) + is reserved for the tag, $2^{26}-2$ message blocks remain. Every block + (without the counter) is at most 102 bits long which gives a maximum + message length of $102\cdot (2^{26}-2) = \unit[6845103924]{bits}$. \item \TODO