diff options
| -rwxr-xr-x | ma/resources/signature key chain.drawio | 1 | ||||
| -rwxr-xr-x | ma/resources/signature_key_chain.pdf | bin | 0 -> 42183 bytes | |||
| -rwxr-xr-x | ma/resources/transmitter scope key illustration.drawio | 1 | ||||
| -rwxr-xr-x | ma/resources/transmitter scope key illustration.svg | 790 | ||||
| -rwxr-xr-x | ma/resources/transmitter_scope_key_illustration.pdf | bin | 0 -> 26512 bytes | |||
| -rw-r--r-- | ma/safety_reset.tex | 84 |
6 files changed, 859 insertions, 17 deletions
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In the chain of valid si disarm signature. Reset and disarm signatures would alternate in this scheme. By skipping a disarm signature two resets can still be triggered directly after one another. -% FIXME diagram -% FIXME include domain mechanism +In practice it may be useful to have some control over which particular meters reset. An attack exploiting a particular +network protocol implementation flaw might only affect one series of meters made by one manufacturer. Resetting +\emph{all} meters may be too much in this case. A simple solution for this is to define adressable subsets of meters. +``All meters'' along with ``meters made by manufacturer $x$'' and ``meters of model $y$'' are good choices for such +scopes. On the cryptographic level the protocol state is simply duplicated for each scope. This incurs memory and +computation overhead linear in the number of scopes. Device memory requirements are small at a few bytes only and +computation is of no concern due to the very slow channel so this simple solution is adequate. The transmitter has to +either store copies of all scope's keys or derive these keys from a root key using the scope's identifier. Keys are +small and the transmitter would be using a regular server or hardware security module so either easily feasible. + +A diagram of the key structure in this key management scheme is shown in Figure \ref{fig:sig_key_chain}. The +transmitter key management is shown in Figure \ref{fig:tx_scope_key_illu}. This scheme is simplistic but suffices for +our prototype in Section \ref{sec-prototype} and may even be useful in a practical implementation. During +standardization of a safety reset system the key management system would most likely have to be customized to the +particular application's requirements. Developing an universal solution is outside the scope of this work. +\begin{figure} + \centering + \begin{minipage}[c]{0.5\textwidth} + \includegraphics{resources/signature_key_chain} + \end{minipage} + \begin{minipage}[c]{0.45\textwidth} + \caption{ + The hash chain between secret transmitter key and public device key. Each step represents one invocation of the + hash function. To generate a new chain a random transmitter key is generated, then hashed $n$ times to + generate the corresponding device key. A new trigger message can be generated by generating the key at depth + $m-1$ where $m$ is the height of the last used trigger, or $n$ initially. Every second trigger message is a + disarm message and every second one a reset message. Depending on which is needed the other one may be skipped. + } + \label{fig:sig_key_chain} + \end{minipage} +\end{figure} + +\begin{figure} + \centering + \includegraphics{resources/transmitter_scope_key_illustration} + \caption{ + An illustration of a key management system using a shared master key. The transmitter derives one secret key for + each adressable group from the master key. Then public device keys are generated like in Figure + \ref{fig:sig_key_chain}. Finally for each device the manufacturer picks the group public keys matching the + device. In this example one device is a series A meter made by manufacturer B so it gets provisioned with the + keys for the ``all devices'', ``manufacturer B'' and ``series A'' keys. The other device is also made by + manufacturer B but is a series C device so it gets provisioned with the ``all devices'', ``manufacturer B'' and + ``series C'' public device keys. In this example the transmitter stores (or is able to derive) all six shown + group keys, but each device only needs to store the three applying to it for the three scopes ``all devices'', + ``manufacturer'' and ``series''. + } + \label{fig:tx_scope_key_illu} +\end{figure} \chapter{Practical implementation} @@ -1702,12 +1748,11 @@ transmission networks to characterize the operational state of the network. From a superficial viewpoint measuring mains frequency might seem like a simple problem. Take the mains voltage waveform, measure time between two rising-edge (or falling-edge) zero-crossings and take the inverse $f = t^{-1}$. In -practice, phasor measurement units are significantly more complex than this. This discrepancy is due to the unhealthy -% FIXME is this pun ok? -combination of both high precision and quick response that is demanded from these units. High precision is necessary -since variations of mains frequency under normal operating conditions are quite small--in the range of -\SIrange{5}{10}{\milli\hertz} over short intervals of time. Relative to the nominal \SI{50}{\hertz} this is a derivation of -less than \SI{100}{ppm} Relative to the corresponding \SI{20}{\milli\second} period that means a time derivation of +practice, phasor measurement units are significantly more complex than this. This discrepancy is due to the combination +of both high precision and quick response that is demanded from these units. High precision is necessary since +variations of mains frequency under normal operating conditions are quite small--in the range of +\SIrange{5}{10}{\milli\hertz} over short intervals of time. Relative to the nominal \SI{50}{\hertz} this is a derivation +of less than \SI{100}{ppm} Relative to the corresponding \SI{20}{\milli\second} period that means a time derivation of about $2 \mu\text{s}$ from cycle to cycle. From this it is already obvious why a simplistic measurement cannot yield the required precision for manageable averaging times--we would need either a ADC sampling rate in the order of megabits or for a reconstruction through interpolated readings an impractically high ADC resolution. @@ -2077,7 +2122,7 @@ gold code looks to yield good enough performance at manageable data rates. \begin{figure} \centering - \includegraphics{../lab-windows/fig_out/dsss_gold_nbits_overview} + \includegraphics[width=0.6\textwidth]{../lab-windows/fig_out/dsss_gold_nbits_overview} \caption{ Symbol Error Rate (SER) as a function of transmission amplitude. The line represents the mean of several measurements for each parameter set. The shaded areas indicate one standard deviation from the mean. Background @@ -2095,14 +2140,18 @@ gold code looks to yield good enough performance at manageable data rates. \begin{figure} \centering - \includegraphics{../lab-windows/fig_out/dsss_gold_nbits_sensitivity} - \caption{ - Amplitude at a SER of 0.5\ in mHz depending on symbol length. Here we can observe an increase of sensitivity - with increasing symbol length, but we can clearly see diminishing returns above 6 bit (63 chips). Considering - that each bit roughly doubles overall transmission time for a given data length it seems lower bit counts are - preferrable if the necessary transmitter power can be realized. - } - \label{dsss_gold_nbits_sensitivity} + \begin{minipage}[c]{0.5\textwidth} + \includegraphics{../lab-windows/fig_out/dsss_gold_nbits_sensitivity} + \end{minipage} + \begin{minipage}[c]{0.45\textwidth} + \caption{ + Amplitude at a SER of 0.5\ in mHz depending on symbol length. Here we can observe an increase of sensitivity + with increasing symbol length, but we can clearly see diminishing returns above 6 bit (63 chips). Considering + that each bit roughly doubles overall transmission time for a given data length it seems lower bit counts are + preferrable if the necessary transmitter power can be realized. + } + \label{dsss_gold_nbits_sensitivity} + \end{minipage} \end{figure} \subsection{Sensitivity versus peak detection threshold factor} @@ -2239,6 +2288,7 @@ the results for both are very close in absolute value. \end{figure} \section{Implementation of a demonstrator unit} +\label{sec-prototype} To demonstrate the viability of our reset architecture we decided to implement a demonstrator system. In this demonstrator we use JTAG to reset part of a commodity smart meter from an externally-connected reset controller. The |
