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    88. 

  88. <body>
    89. 

  89.   <div class="reveal">
    90. 

  90.     <div class="slides">
    91. 

  91. 

  92. <section id="title-slide">
    93. 

  93.   <h1 class="title">CPA Angriff auf Speck</h1>
    94. 

  94.   <p class="author">Robin Dietrich &amp; Marius Schwarz</p>
    95. 

  95. </section>
    96. 

  96. 

  97. <section id="agenda" class="slide level1">
    98. 

  98. <h1>Agenda</h1>
    99. 

  99. <ul>
    100. 

  100. <li>Speck Schiffre</li>
    101. 

  101. <li>CPA Angriffe</li>
    102. 

  102. <li>CPA auf Speck</li>
    103. 

  103. <li>Gegenmaßnahmen</li>
    104. 

  104. <li>Hiding</li>
    105. 

  105. </ul>
    106. 

  106. </section>
    107. 

  107. <section id="speck" class="slide level1">
    108. 

  108. <h1>Speck</h1>
    109. 

  109. <ul>
    110. 

  110. <li>Symmentrische ARX Schiffre
    111. 

  111. <ul>
    112. 

  112. <li>Add/Rotate/XOR</li>
    113. 

  113. </ul></li>
    114. 

  114. <li>Entworfen von der NSA (Zusammen mit der Schiffre Simon)</li>
    115. 

  115. <li>Performant in Hard-/Software</li>
    116. 

  116. <li>Speck bietet mehrere mögliche Modis
    117. 

  117. <ul>
    118. 

  118. <li>Anzahl Runden, Schlüssellänge, Blocklänge</li>
    119. 

  119. </ul></li>
    120. 

  120. <li>Paper: <a href="https://csrc.nist.gov/csrc/media/events/lightweight-cryptography-workshop-2015/documents/papers/session1-shors-paper.pdf">Simon and Speck: Block Ciphers for the Internet of Things</a></li>
    121. 

  121. </ul>
    122. 

  122. </section>
    123. 

  123. <section id="speck---setups" class="slide level1">
    124. 

  124. <h1>Speck - Setups</h1>
    125. 

  125. <table>
    126. 

  126. <thead>
    127. 

  127. <tr class="header">
    128. 

  128. <th>Speck</th>
    129. 

  129. <th>Blocklänge</th>
    130. 

  130. <th>Schlüssellänge</th>
    131. 

  131. <th>Runden</th>
    132. 

  132. </tr>
    133. 

  133. </thead>
    134. 

  134. <tbody>
    135. 

  135. <tr class="odd">
    136. 

  136. <td><span style="color:#d08a1d"><strong>Speck3264</strong></span></td>
    137. 

  137. <td><span style="color:#d08a1d"><strong>32 Bit</strong></span></td>
    138. 

  138. <td><span style="color:#d08a1d"><strong>64 Bit</strong></span></td>
    139. 

  139. <td><span style="color:#d08a1d"><strong>22</strong></span></td>
    140. 

  140. </tr>
    141. 

  141. <tr class="even">
    142. 

  142. <td>Speck4872</td>
    143. 

  143. <td>48 Bit</td>
    144. 

  144. <td>72 Bit</td>
    145. 

  145. <td>22</td>
    146. 

  146. </tr>
    147. 

  147. <tr class="odd">
    148. 

  148. <td>Speck4896</td>
    149. 

  149. <td>48 Bit</td>
    150. 

  150. <td>96 Bit</td>
    151. 

  151. <td>23</td>
    152. 

  152. </tr>
    153. 

  153. <tr class="even">
    154. 

  154. <td>Speck6496</td>
    155. 

  155. <td>64 Bit</td>
    156. 

  156. <td>96 Bit</td>
    157. 

  157. <td>26</td>
    158. 

  158. </tr>
    159. 

  159. <tr class="odd">
    160. 

  160. <td>Speck64128</td>
    161. 

  161. <td>64 Bit</td>
    162. 

  162. <td>128 Bit</td>
    163. 

  163. <td>27</td>
    164. 

  164. </tr>
    165. 

  165. <tr class="even">
    166. 

  166. <td>Speck9696</td>
    167. 

  167. <td>96 Bit</td>
    168. 

  168. <td>96 Bit</td>
    169. 

  169. <td>28</td>
    170. 

  170. </tr>
    171. 

  171. <tr class="odd">
    172. 

  172. <td>Speck96144</td>
    173. 

  173. <td>96 Bit</td>
    174. 

  174. <td>144 Bit</td>
    175. 

  175. <td>29</td>
    176. 

  176. </tr>
    177. 

  177. <tr class="even">
    178. 

  178. <td>Speck128128</td>
    179. 

  179. <td>128 Bit</td>
    180. 

  180. <td>128 Bit</td>
    181. 

  181. <td>32</td>
    182. 

  182. </tr>
    183. 

  183. <tr class="odd">
    184. 

  184. <td>Speck128192</td>
    185. 

  185. <td>128 Bit</td>
    186. 

  186. <td>192 Bit</td>
    187. 

  187. <td>33</td>
    188. 

  188. </tr>
    189. 

  189. <tr class="even">
    190. 

  190. <td>Speck1281256</td>
    191. 

  191. <td>128 Bit</td>
    192. 

  192. <td>256 Bit</td>
    193. 

  193. <td>34</td>
    194. 

  194. </tr>
    195. 

  195. </tbody>
    196. 

  196. </table>
    197. 

  197. </section>
    198. 

  198. <section id="speck---rundenfunktion" class="slide level1">
    199. 

  199. <h1>Speck - Rundenfunktion</h1>
    200. 

  200. <p><img data-src="img/rundenfunktion.png" width="400" /></p>
    201. 

  201. <ul>
    202. 

  202. <li>Wird während der Key Schedule aufgerufen</li>
    203. 

  203. <li>Wird beim der Verschlüsselung aufgerufen</li>
    204. 

  204. </ul>
    205. 

  205. </section>
    206. 

  206. <section id="speck---pseudocode" class="slide level1">
    207. 

  207. <h1>Speck - Pseudocode</h1>
    208. 

  208. <div class="sourceCode" id="cb1"><pre class="sourceCode c"><code class="sourceCode c"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a>pt <span class="op">=</span> Plaintext Bytes              Pt <span class="op">=</span> Plaintext as <span class="dv">16</span> Bit Words</span>
    209. 

  209. <span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a>ct <span class="op">=</span> Ciphertext Bytes             Ct <span class="op">=</span> Ciphertext as <span class="dv">16</span> Bit Words</span>
    210. 

  210. <span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a>k <span class="op">=</span> Key as Bytes                  K <span class="op">=</span> Key as <span class="dv">16</span> Bit Words</span>
    211. 

  211. <span id="cb1-4"><a href="#cb1-4" aria-hidden="true" tabindex="-1"></a></span>
    212. 

  212. <span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a><span class="co">// Key Schedule</span></span>
    213. 

  213. <span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a>D<span class="op">=</span>K<span class="op">[</span><span class="dv">3</span><span class="op">],</span> C<span class="op">=</span>K<span class="op">[</span><span class="dv">2</span><span class="op">],</span> B<span class="op">=</span>K<span class="op">[</span><span class="dv">1</span><span class="op">],</span> A<span class="op">=</span>K<span class="op">[</span><span class="dv">0</span><span class="op">]</span></span>
    214. 

  214. <span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a></span>
    215. 

  215. <span id="cb1-8"><a href="#cb1-8" aria-hidden="true" tabindex="-1"></a><span class="cf">for</span> i in <span class="fl">0.</span><span class="er">.</span><span class="op">&lt;</span><span class="dv">22</span></span>
    216. 

  216. <span id="cb1-9"><a href="#cb1-9" aria-hidden="true" tabindex="-1"></a>    rk<span class="op">[</span>i<span class="op">]=</span>A</span>
    217. 

  217. <span id="cb1-10"><a href="#cb1-10" aria-hidden="true" tabindex="-1"></a>    ER16<span class="op">(</span>B<span class="op">,</span> A<span class="op">,</span> i<span class="op">++)</span></span>
    218. 

  218. <span id="cb1-11"><a href="#cb1-11" aria-hidden="true" tabindex="-1"></a>    rk<span class="op">[</span>i<span class="op">]=</span>A</span>
    219. 

  219. <span id="cb1-12"><a href="#cb1-12" aria-hidden="true" tabindex="-1"></a>    ER16<span class="op">(</span>C<span class="op">,</span> A<span class="op">,</span> i<span class="op">++)</span></span>
    220. 

  220. <span id="cb1-13"><a href="#cb1-13" aria-hidden="true" tabindex="-1"></a>    rk<span class="op">[</span>i<span class="op">]=</span>A</span>
    221. 

  221. <span id="cb1-14"><a href="#cb1-14" aria-hidden="true" tabindex="-1"></a>    ER16<span class="op">(</span>D<span class="op">,</span> A<span class="op">,</span> i<span class="op">++)</span></span>
    222. 

  222. <span id="cb1-15"><a href="#cb1-15" aria-hidden="true" tabindex="-1"></a></span>
    223. 

  223. <span id="cb1-16"><a href="#cb1-16" aria-hidden="true" tabindex="-1"></a><span class="co">// Encryption</span></span>
    224. 

  224. <span id="cb1-17"><a href="#cb1-17" aria-hidden="true" tabindex="-1"></a>Ct<span class="op">[</span><span class="dv">0</span><span class="op">]=</span>Pt<span class="op">[</span><span class="dv">0</span><span class="op">];</span> Ct<span class="op">[</span><span class="dv">1</span><span class="op">]=</span>Pt<span class="op">[</span><span class="dv">1</span><span class="op">];</span></span>
    225. 

  225. <span id="cb1-18"><a href="#cb1-18" aria-hidden="true" tabindex="-1"></a></span>
    226. 

  226. <span id="cb1-19"><a href="#cb1-19" aria-hidden="true" tabindex="-1"></a><span class="cf">for</span> i in <span class="fl">0.</span><span class="er">.</span><span class="op">&lt;</span><span class="dv">22</span></span>
    227. 

  227. <span id="cb1-20"><a href="#cb1-20" aria-hidden="true" tabindex="-1"></a>    ER16<span class="op">(</span>Ct<span class="op">[</span><span class="dv">1</span><span class="op">],</span> Ct<span class="op">[</span><span class="dv">0</span><span class="op">],</span> rk<span class="op">[</span>i<span class="op">++])</span></span></code></pre></div>
    228. 

  228. </section>
    229. 

  229. <section id="speck---möglicher-angriff" class="slide level1">
    230. 

  230. <h1>Speck - Möglicher Angriff</h1>
    231. 

  231. <ul>
    232. 

  232. <li>Angriff der Rundenfunktion</li>
    233. 

  233. <li>ADD/XOR/ROT Operationen</li>
    234. 

  234. </ul>
    235. 

  235. <div class="sourceCode" id="cb2"><pre class="sourceCode c"><code class="sourceCode c"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="dt">void</span> FuncER16<span class="op">(</span>u16 <span class="op">*</span>x<span class="op">,</span> u16 <span class="op">*</span>y<span class="op">,</span> u16 k<span class="op">)</span></span>
    236. 

  236. <span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a><span class="op">{</span></span>
    237. 

  237. <span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a>    u16 tmp_x <span class="op">=</span> <span class="op">*</span>x<span class="op">;</span></span>
    238. 

  238. <span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a>    u16 tmp_y <span class="op">=</span> <span class="op">*</span>y<span class="op">;</span></span>
    239. 

  239. <span id="cb2-5"><a href="#cb2-5" aria-hidden="true" tabindex="-1"></a></span>
    240. 

  240. <span id="cb2-6"><a href="#cb2-6" aria-hidden="true" tabindex="-1"></a>    <span class="op">*</span>x <span class="op">=</span> <span class="op">(((</span>tmp_x<span class="op">)&gt;&gt;(</span><span class="dv">7</span><span class="op">))</span> <span class="op">|</span> <span class="op">((</span>tmp_x<span class="op">)&lt;&lt;(</span><span class="dv">16</span><span class="op">-(</span><span class="dv">7</span><span class="op">))));</span>  <span class="co">// ROR(7)</span></span>
    241. 

  241. <span id="cb2-7"><a href="#cb2-7" aria-hidden="true" tabindex="-1"></a>    <span class="op">*</span>x <span class="op">+=</span> <span class="op">*</span>y<span class="op">;</span></span>
    242. 

  242. <span id="cb2-8"><a href="#cb2-8" aria-hidden="true" tabindex="-1"></a></span>
    243. 

  243. <span id="cb2-9"><a href="#cb2-9" aria-hidden="true" tabindex="-1"></a>    <span class="op">*</span>x <span class="op">=</span> <span class="op">*</span>x <span class="op">^</span> k<span class="op">;</span></span>
    244. 

  244. <span id="cb2-10"><a href="#cb2-10" aria-hidden="true" tabindex="-1"></a></span>
    245. 

  245. <span id="cb2-11"><a href="#cb2-11" aria-hidden="true" tabindex="-1"></a>    <span class="op">*</span>y <span class="op">=</span> <span class="op">(((</span>tmp_y<span class="op">)&lt;&lt;(</span><span class="dv">2</span><span class="op">))</span> <span class="op">|</span> <span class="op">(</span>tmp_y<span class="op">&gt;&gt;(</span><span class="dv">16</span><span class="op">-(</span><span class="dv">2</span><span class="op">))));</span>   <span class="co">// ROL(2)</span></span>
    246. 

  246. <span id="cb2-12"><a href="#cb2-12" aria-hidden="true" tabindex="-1"></a>    <span class="op">*</span>y <span class="op">=</span> <span class="op">*</span>y <span class="op">^</span> <span class="op">*</span>x<span class="op">;</span></span>
    247. 

  247. <span id="cb2-13"><a href="#cb2-13" aria-hidden="true" tabindex="-1"></a><span class="op">}</span></span></code></pre></div>
    248. 

  248. </section>
    249. 

  249. <section id="speck---möglicher-angriff-1" class="slide level1">
    250. 

  250. <h1>Speck - Möglicher Angriff</h1>
    251. 

  251. <ul>
    252. 

  252. <li>Der Rundenschlüssel steckt in der XOR Operation:</li>
    253. 

  253. </ul>
    254. 

  254. <p><img data-src="img/er16_enc_rk.png" /> <img data-src="img/er16_annot.png" /></p>
    255. 

  255. </section>
    256. 

  256. <section id="correlation-power-analysis" class="slide level1">
    257. 

  257. <h1>Correlation Power Analysis</h1>
    258. 

  258. <ul>
    259. 

  259. <li>Variante von Differential Power Analysis (DPA)</li>
    260. 

  260. <li>Nutzt Pearson Correlation Coefficient (PCC)</li>
    261. 

  261. <li><strong>Bei Speck:</strong> Korrelation zwischen Power-Trace und Rundenschlüssel</li>
    262. 

  262. <li>Vorgehen:
    263. 

  263. <ul>
    264. 

  264. <li>Modell erstellen</li>
    265. 

  265. <li>Finden der Korrelationen im Modell</li>
    266. 

  266. <li>Anwenden auf Hardware Implementierung</li>
    267. 

  267. </ul></li>
    268. 

  268. </ul>
    269. 

  269. </section>
    270. 

  270. <section id="hamming-weight" class="slide level1">
    271. 

  271. <h1>Hamming Weight</h1>
    272. 

  272. <ul>
    273. 

  273. <li>Passendes Modell zum ‘bewerten’ des Stromverbrauchs</li>
    274. 

  274. <li>Chip hat ein gewissen Basisverbrauch (IDLE)</li>
    275. 

  275. <li>Werden Bytes im Chip verändert (<span class="math inline">0 → 1; 1 → 0</span>) wird Strom benötigt</li>
    276. 

  276. <li>Verhalten kann durch die Hamming-Distanz simuliert werden</li>
    277. 

  277. <li><strong>Hamming Distanz:</strong> Anzahl der Veränderter Bits:</li>
    278. 

  278. </ul>
    279. 

  279. <p><span class="math display"><em>H</em><em>a</em><em>m</em><em>m</em><em>i</em><em>n</em><em>g</em><em>D</em><em>i</em><em>s</em><em>t</em><em>a</em><em>n</em><em>c</em><em>e</em>(0100101,0010101) = 2</span></p>
    280. 

  280. <p>Der Unterschied zweier per XOR verknüpfter Daten, wird als Hamming-Gewicht bezeichnet:</p>
    281. 

  281. <p><span class="math display"><em>H</em><em>a</em><em>m</em><em>m</em><em>i</em><em>n</em><em>g</em><em>D</em><em>i</em><em>s</em><em>t</em><em>a</em><em>n</em><em>c</em><em>e</em>(0100101,0010101) = <em>H</em><em>a</em><em>m</em><em>m</em><em>i</em><em>n</em><em>g</em><em>W</em><em>e</em><em>i</em><em>g</em><em>h</em><em>t</em>(0100101⊕0010101)</span></p>
    282. 

  282. </section>
    283. 

  283. <section id="speck---modell" class="slide level1">
    284. 

  284. <h1>Speck - Modell</h1>
    285. 

  285. <ul>
    286. 

  286. <li>Einfaches Modell der Speck Verschlüsselung</li>
    287. 

  287. <li>Kann für die ersten 2 Byte des Rundenschlüssels genutzt werden:</li>
    288. 

  288. </ul>
    289. 

  289. <div class="sourceCode" id="cb3"><pre class="sourceCode python"><code class="sourceCode python"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="kw">def</span> simple_speck(plaintext, key):</span>
    290. 

  290. <span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a>    Ct_0 <span class="op">=</span> (<span class="bu">int</span>(plaintext[<span class="dv">1</span>]) <span class="op">&lt;&lt;</span> <span class="dv">8</span>) <span class="op">+</span> <span class="bu">int</span>(plaintext[<span class="dv">0</span>]) <span class="co"># RIGHT Key</span></span>
    291. 

  291. <span id="cb3-3"><a href="#cb3-3" aria-hidden="true" tabindex="-1"></a>    Ct_1 <span class="op">=</span> (<span class="bu">int</span>(plaintext[<span class="dv">3</span>]) <span class="op">&lt;&lt;</span> <span class="dv">8</span>) <span class="op">+</span> <span class="bu">int</span>(plaintext[<span class="dv">2</span>]) <span class="co"># LEFT Key</span></span>
    292. 

  292. <span id="cb3-4"><a href="#cb3-4" aria-hidden="true" tabindex="-1"></a></span>
    293. 

  293. <span id="cb3-5"><a href="#cb3-5" aria-hidden="true" tabindex="-1"></a>    Ct_1, Ct_0 <span class="op">=</span> ER16(Ct_1, Ct_0, key)     <span class="co"># Calculate Roundfunction</span></span>
    294. 

  294. <span id="cb3-6"><a href="#cb3-6" aria-hidden="true" tabindex="-1"></a></span>
    295. 

  295. <span id="cb3-7"><a href="#cb3-7" aria-hidden="true" tabindex="-1"></a>    <span class="cf">return</span> popcount((Ct_1 <span class="op">&lt;&lt;</span> <span class="dv">8</span>) <span class="op">+</span> Ct_0)    <span class="co"># Return Hamming Weight (aka Popcount)</span></span></code></pre></div>
    296. 

  296. </section>
    297. 

  297. <section id="speck---simulation" class="slide level1">
    298. 

  298. <h1>Speck - Simulation</h1>
    299. 

  299. <ol start="0" type="1">
    300. 

  300. <li>Simulation anhand des Modells mit <span class="math inline"><em>n</em></span> traces</li>
    301. 

  301. <li>Generieren von <span class="math inline"><em>n</em></span> zufälligen Klartexten mit <strong>fixem</strong> Keybyte (+ noise)</li>
    302. 

  302. <li>Simulation aller möglichen Keybytes per Hamming Weight</li>
    303. 

  303. <li>Berechnen des PCC aller Keys über alle traces</li>
    304. 

  304. </ol>
    305. 

  305. <p><img data-src="img/simulation_corr.png" /></p>
    306. 

  306. <p><span class="math inline">→</span> Das korrekte Keybyte ist: 0x68</p>
    307. 

  307. </section>
    308. 

  308. <section id="t-test" class="slide level1">
    309. 

  309. <h1>T-Test</h1>
    310. 

  310. <ul>
    311. 

  311. <li>Wird verwendet um <em>Leakage</em> zu erkennen
    312. 

  312. <ul>
    313. 

  313. <li>Gibt das Berechnen einer Chiffre mehr Information zurück als geplant: Leakage</li>
    314. 

  314. <li>Ausnutzbar z.B. durch die Power Traces</li>
    315. 

  315. </ul></li>
    316. 

  316. <li>Berechnet durch:</li>
    317. 

  317. </ul>
    318. 

  318. <p><img data-src="img/ttest_calc.png" /></p>
    319. 

  319. <ul>
    320. 

  320. <li>Vergleicht zwei unabhängige Stichproben miteinander, und vergleicht Mittelwerte</li>
    321. 

  321. <li>Je unterschiedlicher die Mittelwerte <span class="math inline">→</span> desto weniger Leakage</li>
    322. 

  322. </ul>
    323. 

  323. </section>
    324. 

  324. <section id="t-test-1" class="slide level1">
    325. 

  325. <h1>T-Test</h1>
    326. 

  326. <ul>
    327. 

  327. <li>T-Test der aufgezeichneten Power-Traces:</li>
    328. 

  328. </ul>
    329. 

  329. <p><img data-src="img/t_test_original.png" /></p>
    330. 

  330. </section>
    331. 

  331. <section id="angriff---hardware" class="slide level1">
    332. 

  332. <h1>Angriff - Hardware</h1>
    333. 

  333. <ol type="1">
    334. 

  334. <li>Implementierung von Speck auf CW</li>
    335. 

  335. <li>Aufzeichnen von <span class="math inline"><em>n</em></span> Power Traces</li>
    336. 

  336. <li>Berechnung des Software Modells</li>
    337. 

  337. <li>Berechnen der Korrelationen zwischen Modell/Powertraces
    338. 

  338. <ul>
    339. 

  339. <li>Keybyte für Keybyte</li>
    340. 

  340. <li>Rückrechnen des Rundenschlüssels</li>
    341. 

  341. </ul></li>
    342. 

  342. </ol>
    343. 

  343. </section>
    344. 

  344. <section id="korrelationen-des-ersten-keybytes" class="slide level1">
    345. 

  345. <h1>Korrelationen des ersten Keybytes</h1>
    346. 

  346. <ul>
    347. 

  347. <li>Correlationen des ersten Keybytes</li>
    348. 

  348. <li>Korrelation fällt höher aus als im Modell</li>
    349. 

  349. <li>Deutliches Maximum der Korrelation bei 0x22 (Korrektes Keybyte)</li>
    350. 

  350. </ul>
    351. 

  351. <p><img data-src="img/correlation_first_keybyte.png" width="550" /></p>
    352. 

  352. </section>
    353. 

  353. <section id="problem-blocksize" class="slide level1">
    354. 

  354. <h1>Problem: Blocksize</h1>
    355. 

  355. <ul>
    356. 

  356. <li>Bei <strong>Speck1632:</strong> Operationen nicht auf Byte sondern auf 16-Bit Ebene</li>
    357. 

  357. <li>Erste Idee: Modell und Korrelation auf <span class="math inline">2<sup>16</sup></span> Keys</li>
    358. 

  358. <li><span class="math inline">→</span> Keyspace ist abdeckbar (65536 Keys)</li>
    359. 

  359. <li><span class="math inline">→</span> Zu langsam, Unschön</li>
    360. 

  360. <li><span class="math inline">→</span> Nicht möglich für andere Modis von Speck (32 Bit Subkeys)</li>
    361. 

  361. <li><strong>Lösung:</strong> Modell funktioniert auch auf allen Teilbytes per Shift:</li>
    362. 

  362. </ul>
    363. 

  363. <div class="sourceCode" id="cb4"><pre class="sourceCode python"><code class="sourceCode python"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a>rightkey <span class="op">=</span> <span class="bn">0x00</span></span>
    364. 

  364. <span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a><span class="cf">for</span> guess_key <span class="kw">in</span> <span class="bu">range</span>(<span class="dv">256</span>):</span>
    365. 

  365. <span id="cb4-3"><a href="#cb4-3" aria-hidden="true" tabindex="-1"></a>    leftkey <span class="op">=</span> model( (guess_key <span class="op">&lt;&lt;</span> <span class="dv">8</span>) <span class="op">+</span> righkey )</span>
    366. 

  366. <span id="cb4-4"><a href="#cb4-4" aria-hidden="true" tabindex="-1"></a></span>
    367. 

  367. <span id="cb4-5"><a href="#cb4-5" aria-hidden="true" tabindex="-1"></a><span class="cf">for</span> guess_key <span class="kw">in</span> <span class="bu">range</span>(<span class="dv">256</span>):</span>
    368. 

  368. <span id="cb4-6"><a href="#cb4-6" aria-hidden="true" tabindex="-1"></a>    rightkey <span class="op">=</span> model( (leftkey <span class="op">&lt;&lt;</span> <span class="dv">8</span>) <span class="op">+</span> guess_key )</span></code></pre></div>
    369. 

  369. <ul>
    370. 

  370. <li>Auch umsetzbar auf Speck mit Blocksize &gt; 16 Bit</li>
    371. 

  371. </ul>
    372. 

  372. </section>
    373. 

  373. <section id="problem-nth-keybytes" class="slide level1">
    374. 

  374. <h1>Problem: <span class="math inline"><em>n</em><sup><em>t</em><em>h</em></sup></span> Keybytes</h1>
    375. 

  375. <ul>
    376. 

  376. <li>Modell kann nur für die ersten zwei Keybytes genutzt werden, da:</li>
    377. 

  377. </ul>
    378. 

  378. <div class="sourceCode" id="cb5"><pre class="sourceCode c"><code class="sourceCode c"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a><span class="cf">for</span> i in <span class="fl">0.</span><span class="er">.</span><span class="op">&lt;</span><span class="dv">22</span></span>
    379. 

  379. <span id="cb5-2"><a href="#cb5-2" aria-hidden="true" tabindex="-1"></a>    ER16<span class="op">(</span>Ct<span class="op">[</span><span class="dv">1</span><span class="op">],</span> Ct<span class="op">[</span><span class="dv">0</span><span class="op">],</span> rk<span class="op">[</span>i<span class="op">++])</span></span></code></pre></div>
    380. 

  380. <ul>
    381. 

  381. <li>Die (bereits bekannten) Rundenkeys müssen miteingeschlossen werden</li>
    382. 

  382. <li>Muss an der richtigen Stelle passieren (<span class="math inline">⊕</span>-Operation)</li>
    383. 

  383. </ul>
    384. 

  384. </section>
    385. 

  385. <section id="problem-nth-keybytes-1" class="slide level1">
    386. 

  386. <h1>Problem: <span class="math inline"><em>n</em><sup><em>t</em><em>h</em></sup></span> Keybytes</h1>
    387. 

  387. <ul>
    388. 

  388. <li>Anpassung des Modells:</li>
    389. 

  389. </ul>
    390. 

  390. <div class="sourceCode" id="cb6"><pre class="sourceCode python"><code class="sourceCode python"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a> <span class="co"># -------------- for one key -----------------#</span></span>
    391. 

  391. <span id="cb6-2"><a href="#cb6-2" aria-hidden="true" tabindex="-1"></a>    x <span class="op">=</span> ((x <span class="op">&lt;&lt;</span> (<span class="dv">16</span> <span class="op">-</span> ALPHA)) <span class="op">+</span> (x <span class="op">&gt;&gt;</span> ALPHA)) <span class="op">&amp;</span> mod_mask           <span class="co"># x = ROR(x, 7)</span></span>
    392. 

  392. <span id="cb6-3"><a href="#cb6-3" aria-hidden="true" tabindex="-1"></a>    x <span class="op">=</span> (x <span class="op">+</span> y) <span class="op">&amp;</span> mod_mask                                        <span class="co"># x = ADD(x, y)</span></span>
    393. 

  393. <span id="cb6-4"><a href="#cb6-4" aria-hidden="true" tabindex="-1"></a></span>
    394. 

  394. <span id="cb6-5"><a href="#cb6-5" aria-hidden="true" tabindex="-1"></a>    x <span class="op">=</span> x <span class="op">^</span> knownkey[<span class="dv">0</span>]</span>
    395. 

  395. <span id="cb6-6"><a href="#cb6-6" aria-hidden="true" tabindex="-1"></a></span>
    396. 

  396. <span id="cb6-7"><a href="#cb6-7" aria-hidden="true" tabindex="-1"></a>    <span class="co"># -------------- for second key -----------------#</span></span>
    397. 

  397. <span id="cb6-8"><a href="#cb6-8" aria-hidden="true" tabindex="-1"></a></span>
    398. 

  398. <span id="cb6-9"><a href="#cb6-9" aria-hidden="true" tabindex="-1"></a>    y <span class="op">=</span> ((y <span class="op">&gt;&gt;</span> (<span class="dv">16</span> <span class="op">-</span> BETA)) <span class="op">+</span> (y <span class="op">&lt;&lt;</span> BETA)) <span class="op">&amp;</span> mod_mask            <span class="co"># y = ROL(y, 2)</span></span>
    399. 

  399. <span id="cb6-10"><a href="#cb6-10" aria-hidden="true" tabindex="-1"></a>    y <span class="op">=</span> y <span class="op">^</span> x                                                    <span class="co"># y = XOR(y, x)</span></span>
    400. 

  400. <span id="cb6-11"><a href="#cb6-11" aria-hidden="true" tabindex="-1"></a>    x <span class="op">=</span> ((x <span class="op">&lt;&lt;</span> (<span class="dv">16</span> <span class="op">-</span> ALPHA)) <span class="op">+</span> (x <span class="op">&gt;&gt;</span> ALPHA)) <span class="op">&amp;</span> mod_mask          <span class="co"># x = ROR(x, 7)</span></span>
    401. 

  401. <span id="cb6-12"><a href="#cb6-12" aria-hidden="true" tabindex="-1"></a>    x <span class="op">=</span> (x <span class="op">+</span> y) <span class="op">&amp;</span> mod_mask                                       <span class="co"># x = ADD(x, y)</span></span>
    402. 

  402. <span id="cb6-13"><a href="#cb6-13" aria-hidden="true" tabindex="-1"></a></span>
    403. 

  403. <span id="cb6-14"><a href="#cb6-14" aria-hidden="true" tabindex="-1"></a>    x <span class="op">=</span> x <span class="op">^</span> knownkey[<span class="dv">1</span>]                                          <span class="co"># x = XOR(x, k)</span></span>
    404. 

  404. <span id="cb6-15"><a href="#cb6-15" aria-hidden="true" tabindex="-1"></a></span>
    405. 

  405. <span id="cb6-16"><a href="#cb6-16" aria-hidden="true" tabindex="-1"></a>    <span class="co"># -------------- for third key -----------------#</span></span>
    406. 

  406. <span id="cb6-17"><a href="#cb6-17" aria-hidden="true" tabindex="-1"></a>    <span class="co"># [...]</span></span></code></pre></div>
    407. 

  407. </section>
    408. 

  408. <section id="korrelationen-des-ersten-keybytes-1" class="slide level1">
    409. 

  409. <h1>Korrelationen des ersten Keybytes</h1>
    410. 

  410. <ul>
    411. 

  411. <li>Graph zeigt die Korrelationen des ersten Keybytes bis 5000 traces</li>
    412. 

  412. <li>Ab ~800 Traces hebt sich die Korrelation deutlich hervor</li>
    413. 

  413. </ul>
    414. 

  414. <p><img data-src="img/traces.png" width="550" /></p>
    415. 

  415. </section>
    416. 

  416. <section id="gegenmaßnahmen" class="slide level1">
    417. 

  417. <h1>Gegenmaßnahmen</h1>
    418. 

  418. </section>
    419. 

  419. <section id="hiding" class="slide level1">
    420. 

  420. <h1>Hiding</h1>
    421. 

  421. <ul>
    422. 

  422. <li>Verstecken des eigentlichen “Leakages” in Rauschen</li>
    423. 

  423. <li><span class="math inline">→</span> Erhöhung des vorhandenen Rauschens während der Berechnung</li>
    424. 

  424. <li>Mehrere Möglichkeiten
    425. 

  425. <ul>
    426. 

  426. <li>Mischen der Instruction-Order</li>
    427. 

  427. <li><strong>Hinzufügen von “Dummy Instructionen”</strong></li>
    428. 

  428. <li>Clock Jitter</li>
    429. 

  429. </ul></li>
    430. 

  430. </ul>
    431. 

  431. </section>
    432. 

  432. <section id="hiding---code" class="slide level1">
    433. 

  433. <h1>Hiding - Code</h1>
    434. 

  434. <ul>
    435. 

  435. <li><strong>Ansatz:</strong> Korrelation kommt von <code>ER16()</code>
    436. 

  436. <ul>
    437. 

  437. <li>Add/XOR/Rotate</li>
    438. 

  438. </ul></li>
    439. 

  439. <li>Hinzufügen weitere AXR Operationen um noise zu erhöhen</li>
    440. 

  440. <li>Ersetzen von jeder XOR Operatione mit folgender:</li>
    441. 

  441. </ul>
    442. 

  442. <div class="sourceCode" id="cb7"><pre class="sourceCode c"><code class="sourceCode c"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true" tabindex="-1"></a><span class="dt">uint16_t</span> XOR<span class="op">(</span><span class="dt">uint16_t</span> a<span class="op">,</span> <span class="dt">uint16_t</span> b<span class="op">,</span> <span class="dt">int</span> random<span class="op">)</span> <span class="op">{</span></span>
    443. 

  443. <span id="cb7-2"><a href="#cb7-2" aria-hidden="true" tabindex="-1"></a>    <span class="dt">uint8_t</span> tmp <span class="op">=</span> random <span class="op">^</span> <span class="bn">0x5F</span><span class="op">;</span></span>
    444. 

  444. <span id="cb7-3"><a href="#cb7-3" aria-hidden="true" tabindex="-1"></a>    tmp <span class="op">^=</span> <span class="op">(</span>random <span class="op">^</span> a<span class="op">);</span></span>
    445. 

  445. <span id="cb7-4"><a href="#cb7-4" aria-hidden="true" tabindex="-1"></a>    tmp <span class="op">^=</span> <span class="op">(</span>tmp <span class="op">^</span> b<span class="op">);</span></span>
    446. 

  446. <span id="cb7-5"><a href="#cb7-5" aria-hidden="true" tabindex="-1"></a>    tmp <span class="op">&amp;=</span> <span class="op">(</span>tmp <span class="op">&amp;</span> a<span class="op">);</span></span>
    447. 

  447. <span id="cb7-6"><a href="#cb7-6" aria-hidden="true" tabindex="-1"></a>    tmp <span class="op">&amp;=</span> <span class="op">(</span>tmp <span class="op">&amp;</span> b<span class="op">);</span></span>
    448. 

  448. <span id="cb7-7"><a href="#cb7-7" aria-hidden="true" tabindex="-1"></a>    <span class="cf">return</span> a <span class="op">^</span> b<span class="op">;</span></span>
    449. 

  449. <span id="cb7-8"><a href="#cb7-8" aria-hidden="true" tabindex="-1"></a><span class="op">}</span></span></code></pre></div>
    450. 

  450. <ul>
    451. 

  451. <li><code>Random</code> wird bei jeder Verschlüsslung erneut generiert</li>
    452. 

  452. </ul>
    453. 

  453. </section>
    454. 

  454. <section id="hiding---t-test" class="slide level1">
    455. 

  455. <h1>Hiding - T-Test</h1>
    456. 

  456. <ul>
    457. 

  457. <li>Ergebnisse des T-Tests mit implementierter Hiding Maßnahmen:</li>
    458. 

  458. </ul>
    459. 

  459. <p><img data-src="img/t_test_hiding_random.png" /></p>
    460. 

  460. <ul>
    461. 

  461. <li>Bedarf weitere Analysen, Unterschied der beiden T-Tests sind nur Minimal</li>
    462. 

  462. <li><strong>Keine</strong> Indikation dass Hiding funktioniert laut T-Test</li>
    463. 

  463. </ul>
    464. 

  464. </section>
    465. 

  465. <section id="korrelationen-des-ersten-keybytes-2" class="slide level1">
    466. 

  466. <h1>Korrelationen des ersten Keybytes</h1>
    467. 

  467. <ul>
    468. 

  468. <li>Besseres Ergbniss der Korrelationen bis 5000 Traces</li>
    469. 

  469. <li>Korrelationen flachen ab ~800 drastisch ab</li>
    470. 

  470. <li>Keine Korrelation sticht heraus</li>
    471. 

  471. </ul>
    472. 

  472. <p><img data-src="img/corr_traces_hiding_5k.png" width="550" /></p>
    473. 

  473. <ul>
    474. 

  474. <li>Es war nicht möglich den Angriff erneut durchzuführen</li>
    475. 

  475. <li>Neue Korrelationen nach einigen Test lediglich bei ~0.18 mit falschem Keybyte</li>
    476. 

  476. </ul>
    477. 

  477. </section>
    478. 

  478. <section id="hiding-potentieller-bypass" class="slide level1">
    479. 

  479. <h1>Hiding (Potentieller) Bypass</h1>
    480. 

  480. <ul>
    481. 

  481. <li>Korrelation sollte weiterhin möglich sein wenn man die Operationen in Betracht zieht</li>
    482. 

  482. <li>Schwierigkeit hängt am Zufallszahlengenerator</li>
    483. 

  483. <li><strong>Problem:</strong> Sichere Zufallszahlen auf Embedded Chips ist nicht trivial</li>
    484. 

  484. </ul>
    485. 

  485. <p><span class="math inline">→</span> Bypass konnte <strong>nicht</strong> realisiert werden</p>
    486. 

  486. </section>
    487. 

  487. <section id="referenzen" class="slide level1">
    488. 

  488. <h1>Referenzen</h1>
    489. 

  489. <ul>
    490. 

  490. <li><a href="Improved%20Differential%20Cryptanalysis%20of%20Round-Reduced%20Speck">Improved Differential Cryptanalysis of Round-Reduced Speck</a></li>
    491. 

  491. <li><a href="Breaking%20Speck%20cryptosystem%20using%20correlation%20power%20analysis%20attack">Breaking Speck cryptosystem using correlation power analysis attack</a></li>
    492. 

  492. <li><a href="%7BSpeck-R:%20An%20ultra%20light-weight%20cryptographic%20scheme%20for%20Internet%20of%20Things">Speck-R: An ultra light-weight cryptographic scheme for Internet of Things</a></li>
    493. 

  493. </ul>
    494. 

  494. </section>
    495. 

  495.     </div>
    496. 

  496.   </div>
    497. 

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    499. 

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