ma: Add illustrations on key generation and improve figure layout
This commit is contained in:
jaseg
parent
a4559b89ff
commit
dbb94996ba
6 changed files with 859 additions and 17 deletions
1
ma/resources/signature key chain.drawio
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1
ma/resources/signature key chain.drawio
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BIN
ma/resources/signature_key_chain.pdf
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ma/resources/signature_key_chain.pdf
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ma/resources/transmitter scope key illustration.drawio
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<xhtml:div>Series C</xhtml:div>
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<path
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<path
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After Width: | Height: | Size: 30 KiB |
BIN
ma/resources/transmitter_scope_key_illustration.pdf
Executable file
BIN
ma/resources/transmitter_scope_key_illustration.pdf
Executable file
Binary file not shown.
|
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@ -1674,8 +1674,54 @@ least significant bit of $n$ in our $H^n$ construction. In the chain of valid si
|
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disarm signature. Reset and disarm signatures would alternate in this scheme. By skipping a disarm signature two resets
|
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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
|
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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.
|
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}
|
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\label{fig:sig_key_chain}
|
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\end{minipage}
|
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\end{figure}
|
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|
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\begin{figure}
|
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\centering
|
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\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
|
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keys for the ``all devices'', ``manufacturer B'' and ``series A'' keys. The other device is also made by
|
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manufacturer B but is a series C device so it gets provisioned with the ``all devices'', ``manufacturer B'' and
|
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``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'',
|
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``manufacturer'' and ``series''.
|
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}
|
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\label{fig:tx_scope_key_illu}
|
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\end{figure}
|
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|
||||
\chapter{Practical implementation}
|
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|
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|
|
@ -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
|
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\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.
|
||||
}
|
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\label{dsss_gold_nbits_sensitivity}
|
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\begin{minipage}[c]{0.5\textwidth}
|
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\includegraphics{../lab-windows/fig_out/dsss_gold_nbits_sensitivity}
|
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\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}
|
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\end{minipage}
|
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\end{figure}
|
||||
|
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\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
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue