<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
  <head>
    <meta http-equiv="Content-Type" content="application/xhtml+xml; charset=utf-8"/>
    <title>Project-Team:GRACE</title>
    <link rel="stylesheet" href="../static/css/raweb.css" type="text/css"/>
    <meta name="description" content="New Results - Two-points codes on the generalized&#10;Giuletti Korchmaros curve"/>
    <meta name="dc.title" content="New Results - Two-points codes on the generalized&#10;Giuletti Korchmaros curve"/>
    <meta name="dc.subject" content=""/>
    <meta name="dc.publisher" content="INRIA"/>
    <meta name="dc.date" content="(SCHEME=ISO8601) 2017-01"/>
    <meta name="dc.type" content="Report"/>
    <meta name="dc.language" content="(SCHEME=ISO639-1) en"/>
    <meta name="projet" content="GRACE"/>
    <script type="text/javascript" src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-MML-AM_CHTML">
      <!--MathJax-->
    </script>
  </head>
  <body>
    <div class="tdmdiv">
      <div class="logo">
        <a href="http://www.inria.fr">
          <img style="align:bottom; border:none" src="../static/img/icons/logo_INRIA-coul.jpg" alt="Inria"/>
        </a>
      </div>
      <div class="TdmEntry">
        <div class="tdmentete">
          <a href="uid0.html">Project-Team Grace</a>
        </div>
        <span>
          <a href="uid1.html">Personnel</a>
        </span>
      </div>
      <div class="TdmEntry">Overall Objectives<ul><li><a href="./uid3.html">Scientific foundations</a></li></ul></div>
      <div class="TdmEntry">Research Program<ul><li><a href="uid5.html&#10;&#9;&#9;  ">Algorithmic Number Theory</a></li><li><a href="uid9.html&#10;&#9;&#9;  ">Arithmetic Geometry: Curves and
their Jacobians</a></li><li><a href="uid10.html&#10;&#9;&#9;  ">Curve-Based cryptology</a></li><li><a href="uid11.html&#10;&#9;&#9;  ">Algebraic Coding Theory</a></li></ul></div>
      <div class="TdmEntry">
        <a href="./uid13.html">Highlights of the Year</a>
      </div>
      <div class="TdmEntry">New Software and Platforms<ul><li><a href="uid20.html&#10;&#9;&#9;  ">ACTIS</a></li><li><a href="uid23.html&#10;&#9;&#9;  ">DECODING</a></li><li><a href="uid26.html&#10;&#9;&#9;  ">Fast Compact Diffie-Hellman</a></li><li><a href="uid30.html&#10;&#9;&#9;  ">CADO-NFS</a></li></ul></div>
      <div class="TdmEntry">New Results<ul><li><a href="uid35.html&#10;&#9;&#9;  ">qDSA: Compact signatures for IoT</a></li><li><a href="uid36.html&#10;&#9;&#9;  ">PIR based on transversal designs</a></li><li><a href="uid37.html&#10;&#9;&#9;  ">On the security of compact McEliece keys</a></li><li class="tdmActPage"><a href="uid38.html&#10;&#9;&#9;  ">Two-points codes on the generalized
Giuletti Korchmaros curve</a></li><li><a href="uid39.html&#10;&#9;&#9;  ">Towards a function field version of Freiman's theorem</a></li><li><a href="uid42.html&#10;&#9;&#9;  ">BIG QUAKE</a></li><li><a href="uid43.html&#10;&#9;&#9;  ">Discrete Logarithm computations in
finite fields with the NFS algorithm</a></li></ul></div>
      <div class="TdmEntry">Bilateral Contracts and Grants with Industry<ul><li><a href="uid48.html&#10;&#9;&#9;  ">Bilateral Contracts with Industry</a></li></ul></div>
      <div class="TdmEntry">Partnerships and Cooperations<ul><li><a href="uid55.html&#10;&#9;&#9;  ">National Initiatives</a></li><li><a href="uid57.html&#10;&#9;&#9;  ">European Initiatives</a></li><li><a href="uid78.html&#10;&#9;&#9;  ">International Initiatives</a></li><li><a href="uid81.html&#10;&#9;&#9;  ">International Research Visitors</a></li></ul></div>
      <div class="TdmEntry">Dissemination<ul><li><a href="uid86.html&#10;&#9;&#9;  ">Promoting Scientific Activities</a></li><li><a href="uid128.html&#10;&#9;&#9;  ">Teaching - Supervision - Juries</a></li><li><a href="uid156.html&#10;&#9;&#9;  ">Popularization</a></li></ul></div>
      <div class="TdmEntry">
        <div>Bibliography</div>
      </div>
      <div class="TdmEntry">
        <ul>
          <li>
            <a id="tdmbibentmajor" href="bibliography.html">Major publications</a>
          </li>
          <li>
            <a id="tdmbibentyear" href="bibliography.html#year">Publications of the year</a>
          </li>
          <li>
            <a id="tdmbibentfoot" href="bibliography.html#References">References in notes</a>
          </li>
        </ul>
      </div>
    </div>
    <div id="main">
      <div class="mainentete">
        <div id="head_agauche">
          <small><a href="http://www.inria.fr">
	    
	    Inria
	  </a> | <a href="../index.html">
	    
	    Raweb 
	    2017</a> | <a href="http://www.inria.fr/en/teams/grace">Presentation of the Project-Team GRACE</a> | <a href="https://team.inria.fr/grace/">GRACE Web Site
	  </a></small>
        </div>
        <div id="head_adroite">
          <table class="qrcode">
            <tr>
              <td>
                <a href="grace.xml">
                  <img style="align:bottom; border:none" alt="XML" src="../static/img/icons/xml_motif.png"/>
                </a>
              </td>
              <td>
                <a href="grace.pdf">
                  <img style="align:bottom; border:none" alt="PDF" src="IMG/qrcode-grace-pdf.png"/>
                </a>
              </td>
              <td>
                <a href="../grace/grace.epub">
                  <img style="align:bottom; border:none" alt="e-pub" src="IMG/qrcode-grace-epub.png"/>
                </a>
              </td>
            </tr>
            <tr>
              <td/>
              <td>PDF
</td>
              <td>e-Pub
</td>
            </tr>
          </table>
        </div>
      </div>
      <!--FIN du corps du module-->
      <br/>
      <div class="bottomNavigation">
        <div class="tail_aucentre">
          <a href="./uid37.html" accesskey="P"><img style="align:bottom; border:none" alt="previous" src="../static/img/icons/previous_motif.jpg"/> Previous | </a>
          <a href="./uid0.html" accesskey="U"><img style="align:bottom; border:none" alt="up" src="../static/img/icons/up_motif.jpg"/>  Home</a>
          <a href="./uid39.html" accesskey="N"> | Next <img style="align:bottom; border:none" alt="next" src="../static/img/icons/next_motif.jpg"/></a>
        </div>
        <br/>
      </div>
      <div id="textepage">
        <!--DEBUT2 du corps du module-->
        <h2>Section: 
      New Results</h2>
        <h3 class="titre3">Two-points codes on the generalized
Giuletti Korchmaros curve</h3>
        <p>In a collaboration with Peter Beelen, Mrinmoy Datta,
Vincent Neiger and Johan Rosenkilde (DTU Copenhagen),
E. Barelli obtained improved lower bounds for the minimum
distance of some algebraic geometry
codes from Giulietti Korchmaros curves <a href="./bibliography.html#grace-2017-bid3">[20]</a>.
</p>
      </div>
      <!--FIN du corps du module-->
      <br/>
      <div class="bottomNavigation">
        <div class="tail_aucentre">
          <a href="./uid37.html" accesskey="P"><img style="align:bottom; border:none" alt="previous" src="../static/img/icons/previous_motif.jpg"/> Previous | </a>
          <a href="./uid0.html" accesskey="U"><img style="align:bottom; border:none" alt="up" src="../static/img/icons/up_motif.jpg"/>  Home</a>
          <a href="./uid39.html" accesskey="N"> | Next <img style="align:bottom; border:none" alt="next" src="../static/img/icons/next_motif.jpg"/></a>
        </div>
        <br/>
      </div>
    </div>
  </body>
</html>
