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<body><div id="main"><div id="title"><h1>Errata — Quantum Cryptography and Secret-Key Distillation</h1></div><div id="content"><p class="authors"><span class="author-name">Gilles Van Assche</span></p><h2 id="id58056">Introduction</h2><p>This document lists the known errors in the <a href="http://gva.noekeon.org/QCandSKD/">book <i>Quantum Cryptography and Secret-Key Distillation</i> published by Cambridge University Press (2006)</a>.</p><h2 id="id58080">In Chapter 1</h2><ul>
<li>Page 12. In the first sentence of Section 1.1.4, one should read: <i>For more information, I <b>would</b> like to point out</i> […].</li>
</ul><h2 id="id58106">In Chapter 7</h2><ul>
<li>Page 108. The last sentence of the third bullet should be: <i>One can easily check that it works provided that <span class="eq"><m:math><m:mi>m</m:mi><m:mo>&gt;</m:mo><m:mi>l</m:mi></m:math></span> and <span class="eq"><m:math><m:mi>L</m:mi><m:mo>&gt;</m:mo><m:mn>2</m:mn><m:mo>⁢</m:mo><m:mi>l</m:mi></m:math></span></i> (instead of <span class="eq"><m:math><m:mi>m</m:mi><m:mo>&gt;</m:mo><m:mn>2</m:mn><m:mo>⁢</m:mo><m:mi>l</m:mi></m:math></span>). </li>
<li>Page 109. In the next-to-last paragraph, the formula of the inverse NTT misses a factor <span class="eq"><m:math><m:msup><m:mi>L</m:mi><m:mrow><m:mo>-</m:mo><m:mn>1</m:mn></m:mrow></m:msup><m:mi>mod</m:mi><m:mi>p</m:mi><m:mo>=</m:mo><m:mo>-</m:mo><m:mi>ν</m:mi></m:math></span> and the subscript of <span class="eq"><m:math><m:mi>T</m:mi></m:math></span> should be <span class="eq"><m:math><m:mi>j</m:mi></m:math></span>. The correct formula is <span class="eq"><m:math><m:msub><m:mi>t</m:mi><m:mi>i</m:mi></m:msub><m:mo>=</m:mo><m:mo>-</m:mo><m:mi>ν</m:mi><m:msubsup><m:mo>∑</m:mo><m:mrow><m:mi>j</m:mi><m:mo>=</m:mo><m:mn>0</m:mn></m:mrow><m:mrow><m:mi>L</m:mi><m:mo>-</m:mo><m:mn>1</m:mn></m:mrow></m:msubsup><m:msub><m:mi>T</m:mi><m:mi>j</m:mi></m:msub><m:mo>⁢</m:mo><m:msup><m:mi>ω</m:mi><m:mrow><m:mo>-</m:mo><m:mi>i</m:mi><m:mo>⁢</m:mo><m:mi>j</m:mi></m:mrow></m:msup></m:math></span>.</li>
<li>Page 109. In the last paragraph, one should read: <i>In <span class="eq"><m:math><m:msub><m:mi mathvariant="bold">Z</m:mi><m:mn>786 433</m:mn></m:msub></m:math></span>, <b>a possible generator</b> is <span class="eq"><m:math><m:mi>g</m:mi><m:mo>=</m:mo><m:mn>11</m:mn></m:math></span></i> […]. The smallest generator is in fact <span class="eq"><m:math><m:mi>g</m:mi><m:mo>=</m:mo><m:mn>10</m:mn></m:math></span>, although any generator can be used.</li>
</ul><h2 id="id58479">In the bibliography</h2><ul>
<li>Page 250. In entry [22], the correct page numbers are <b>487–496</b>.</li>
<li>Page 256. In entry [149], the authors are: G. Ribordy, J.-D. Gautier, N. Gisin, <b>O. Guinnard</b> and H. Zbinden.</li>
</ul></div><div id="footer"><p>Last updated: 2007-02-22</p></div></div></body>
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