<?xml version="1.0" encoding="UTF-8" ?>
  <resource>
  <id>7710</id>
  <path>/www/nrich/html/content/id/7710/</path>
  <resourceTypeID>1</resourceTypeID>
  <last_published>2011-10-24T11:59:15</last_published>
  <indexXML>&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;
&lt;mdoxml version=&quot;1.0&quot;&gt;
&lt;p&gt;RZVBNAJVTMWMBCAWTMWXEUPVNMTMENCIIMIWCUVEBVHEPOSBKQHTJBDBYAXV GBXQDQTTWZDWPBSIWVVVIVIASJNOWBIQVMRQVQDWDMTATCHYCWDBEQUBSADAA BJMBVWTCTWLLUIIWQGUXATBTJTPTQIQIMJNPWWVTKNKCQHMBBXZUQVWGVXOD MRMTBTBHBSGDXNVCWIAHWWKWLEBWWHKBPLZCMPEXBIMJQGXDQDMZADPXZGZ UGALIEBMTEDVNAUGEQDPPWNETXVKNZDBRNPVGEXVTBDWXCXITBSMDBTGWUJMR WIVGKIZWMDMXZCICMRIDPSISCHVHLCASZCTPTZBKMVMH &lt;/p&gt;

&lt;/mdoxml&gt;</indexXML>
  <solutionXML>&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;
&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;p&gt;Have you managed to solve the entire &lt;a href=&quot;http://nrich.maths.org/7081&quot;&gt;Stage 5 Cipher Challenge&lt;/a&gt;? Solutions are now closed, but perhaps you want to take up the full challenge.&lt;/p&gt;
&lt;p&gt; &lt;/p&gt;
&lt;p&gt;Patrick from Woodbridge School, England was the first to solve this cipher&lt;br&gt;&lt;/br&gt;
Joseph from Hong Kong was the only other successful solver.&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
The solution is&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
Congratulations if you can read this, this encryption&amp;#39;s getting quite complicated. The vigenere method of encryption commutes with a transposition if its row and column lengths are one more than a multiple of the keyword length, so in this case with a keyword of length two we need them to both be odd. I hope you&amp;#39;ve enjoyed decrypting these messages, why not try coming up with some ciphers
yourself and testing your friends.&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
vigenere with keyword pi&lt;br&gt;&lt;/br&gt;
transposition&lt;br&gt;&lt;/br&gt;
 &lt;/p&gt;
&lt;p&gt; &lt;/p&gt;&lt;/mdoxml&gt;</solutionXML>
  <noteXML>&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;
&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;p&gt;This challenge cipher forms part of a very difficult &lt;a href=&quot;http://nrich.maths.org/7081&quot;&gt;sequence of ciphers&lt;/a&gt; suitable for keen groups or individuals, maths clubs and very optional homework challenges. Don&amp;#39;t try this in the classroom!&lt;/p&gt;&lt;/mdoxml&gt;</noteXML>
  <clueXML>&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;
&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;p&gt;This is the seventh of our &lt;a href=&quot;https://nrich.maths.org/7081&quot;&gt;challenge ciphers&lt;/a&gt;.&lt;/p&gt;
&lt;p&gt;We recommend that you attempt them in order, as the solution of each challenge gives a small (and necessary!) hint for the next challenge.&lt;/p&gt;&lt;/mdoxml&gt;</clueXML>
  <canonXML>&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;
&lt;mdoxml version=&quot;1.0&quot;&gt;
&lt;p&gt; &lt;/p&gt;
&lt;div&gt;Congratulations if you can read this, this encryption&amp;#39;s getting quite complicated. The vigenere method of encryption commutes with a transposition if its row and column lengths are one more than a multiple of the keyword length, so in this case with a keyword of length two we need them to both be odd. I hope you&amp;#39;ve enjoyed decrypting these messages, why not try coming up with some
ciphers yourself and testing your friends.&lt;/div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;div&gt;vigenere with keyword pi&lt;/div&gt;
&lt;div&gt;transposition&lt;/div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;/div&gt;
&lt;p&gt; &lt;/p&gt;

&lt;/mdoxml&gt;</canonXML>
  <end_user_role>2</end_user_role>
  <difficulty>5</difficulty>
  <keystage1>0</keystage1>
  <keystage2>0</keystage2>
  <keystage3>0</keystage3>
  <keystage4>0</keystage4>
  <keystage4plus>1</keystage4plus>
  <title>ip?</title>
  <description>Seventh challenge cipher</description>
  <spec_group>Decision Mathematics and Combinatorics
    <specifier>Permutations</specifier>
  </spec_group>
  <spec_group>Decision Mathematics and Combinatorics
    <specifier>Combinatorics</specifier>
  </spec_group>
  <spec_group>Decision Mathematics and Combinatorics
    <specifier>Algorithms</specifier>
  </spec_group>
  <spec_group>Applications
    <specifier>Codes and cryptography</specifier>
  </spec_group>
</resource>