Document Zbl 0991.90015

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Inf. Theory</a> <a href="/?q=in%3A69732" title="Articles in this Issue">46, No. 4, 1204-1216 (2000)</a>. </div> <div class="abstract"></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A1503457">Cited in <strong>6</strong> Reviews</a></div><div class="clear"><a href="/?q=rf%3A1503457">Cited in <strong>181</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A90B18" title="MSC2020">90B18</a> </td> <td class="space"> Communication networks in operations research </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A94A05" title="MSC2020">94A05</a> </td> <td class="space"> Communication theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A94A29" title="MSC2020">94A29</a> </td> <td class="space"> Source coding </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A94C15" title="MSC2020">94C15</a> </td> <td class="space"> Applications of graph theory to circuits and networks </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68M10" title="MSC2020">68M10</a> </td> <td class="space"> Network design and communication in computer systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Adiversity+coding">diversity coding</a>; <a href="/?q=ut%3Amulticast">multicast</a>; <a href="/?q=ut%3Anetwork+coding">network coding</a>; <a href="/?q=ut%3Aswitching">switching</a>; <a href="/?q=ut%3Amultiterminal+source+coding">multiterminal source coding</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0991.90015" data-ciurl="/ci/01503457" data-biburl="/bibtex/01503457.bib" data-amsurl="/amsrefs/01503457.bib" data-xmlurl="/xml/01503457.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01503457.pdf" title="Zbl 0991.90015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1109/18.850663" aria-label="DOI for “Network information flow”" title="10.1109/18.850663">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Ahlswede R, Cai N, Li S-Y R, et al. Network information flow. IEEE Trans Inf Theory, 2000, 46: 1204-1216 · <a href="/0991.90015" class="nowrap">Zbl 0991.90015</a></td> </tr><tr> <td>[2]</td> <td class="space">Ho T, Médard M, Koetter R, et al. A random linear network coding approach to multicast. IEEE Trans Inf Theory, 2006, 52: 4413-4430 · <a href="/1323.94010" class="nowrap">Zbl 1323.94010</a></td> </tr><tr> <td>[3]</td> <td class="space">Li S-Y R, Yeung R W, Cai N. Linear network coding. IEEE Trans Inf Theory, 2003, 49: 371-381 · <a href="/1063.94004" class="nowrap">Zbl 1063.94004</a></td> </tr><tr> <td>[4]</td> <td class="space">Yeung R W. Information Theory and Network Coding. Hong Kong: Springer, 2008 · <a href="/1154.94001" class="nowrap">Zbl 1154.94001</a></td> </tr><tr> <td>[5]</td> <td class="space">Jaggi S, Sanders P, Chou P A, et al. Polynomial time algorithms for multicast network code construction. 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In: IEEE Inter Conference on Communications, Beijing, 2008. 1750-1754</td> </tr><tr> <td>[15]</td> <td class="space">Lima L, Vilela J P, Barros J, et al. An information-theoretic cryptanalysis of network coding is protecting the code enough? In: ISITA, Auckland, 2008. 1-6</td> </tr><tr> <td>[16]</td> <td class="space">Koetter R, Kschischang F. Coding for errors and erasures in random network coding. IEEE Trans Inf Theory, 2008, 54: 3579-3591 · <a href="/1318.94111" class="nowrap">Zbl 1318.94111</a></td> </tr><tr> <td>[17]</td> <td class="space">Silva D, Kschischang F, Koetter R. A rank-metric approach to error control in random network coding. In: IEEE Inf Theory Workshop on Infor Theory for Wireless Networks, Tucson, 2007. 1-5 · <a href="/1318.94119" class="nowrap">Zbl 1318.94119</a></td> </tr><tr> <td>[18]</td> <td class="space">Jaggi S, Langberg M, Katti S, et al. Resilient network coding in the presence of byzantine adversaries. IEEE Trans Inf Theory, 2008, 54: 2596-2603 · <a href="/1328.94105" class="nowrap">Zbl 1328.94105</a></td> </tr><tr> <td>[19]</td> <td class="space">Cai N, Yeung R W. Network coding and error ecorrection. In: Proc 2002 IEEE Inform. Bangalore, Theory Workshop, 2002. 323</td> </tr><tr> <td>[20]</td> <td class="space">Yeung R W, Cai N. Network error correction, I: basic concepts and upper bounds. Commun Inf Syst, 2006, 6: 19-35 · <a href="/1161.94452" class="nowrap">Zbl 1161.94452</a></td> </tr><tr> <td>[21]</td> <td class="space">Zhang Z. Linear network error correction coding in packet networks. IEEE Trans Inf Theory, 2008, 54: 209-218 · <a href="/1308.94116" class="nowrap">Zbl 1308.94116</a></td> </tr><tr> <td>[22]</td> <td class="space">Ho T, Leong B, Koetter R, et al. Byzantine modification detection in multicast networks using randomized network coding. In: Proc of the IEEE Inter Sym on Infor Theory, Chicago, 2004. 144 · <a href="/1328.94076" class="nowrap">Zbl 1328.94076</a></td> </tr><tr> <td>[23]</td> <td class="space">Charles D, Jain K, Lauter K. Signatures for network coding. In: Proc of the 40th ACISS, Princeton, 2006. 857-863 · <a href="/1207.94050" class="nowrap">Zbl 1207.94050</a></td> </tr><tr> <td>[24]</td> <td class="space">Zhao F, Kalker T, Médard M, et al. Signatures for content distribution with network coding. In: Proc of the IEEE Inter Sym on Infor Theory, Nice, 2007. 556-560</td> </tr><tr> <td>[25]</td> <td class="space">Boneh D, Freeman D, Katz J, et al. Signing a linear subspace: signature schemes for network coding. In: Proc of PKC, Irvine, CA, 2009. 68-87 · <a href="/1227.68024" class="nowrap">Zbl 1227.68024</a></td> </tr><tr> <td>[26]</td> <td class="space">Stinson D R. Something about all or nothing (transforms). Designs Codes Cryptography, 2001, 22: 133-138 · <a href="/0985.94030" class="nowrap">Zbl 0985.94030</a></td> </tr><tr> <td>[27]</td> <td class="space">Rivest R L. All-or-nothing Encryption and the package transform. In: Biham E, ed. Fast Software Encryption 1997 (LNCS 1267). Berlin: Springer, 1997. 210-218 · <a href="/1385.94067" class="nowrap">Zbl 1385.94067</a></td> </tr><tr> <td>[28]</td> <td class="space">West D B. Introduction to Graph Theory. 2nd ed. Upper Saddle River, · <a href="/0845.05001" class="nowrap">Zbl 0845.05001</a></td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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