error-correcting code
https://plus.maths.org/content/taxonomy/term/281
enInformation is noisy
https://plus.maths.org/content/information-errors
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Marianne Freiberger </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/20_mar_2015_-_1733/mistake_icon.jpg?1426872811" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>When you transmit information long-distance there is always a chance that some of it gets mangled and arrives at the other end corrupted. Luckily, there are clever ways of encoding information which ensure a tiny error rate, even when your communication channel is prone to errors.</p>
</div>
</div>
</div>
<div class="rightimage" style="width: 260px;"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/packages/2011/fqxi/fqxi_logo.jpg" width="200" height="42" alt="FQXi logo"/></div>
<p><em>This article is part of our <a href="https://plus.maths.org/content/information-about-information">Information about information project</a>, run <a href="https://plus.maths.org/content/information-about-information#fqxi">in collaboration with FQXi</a>. Click <a href="https://plus.maths.org/content/can-you-measure-information">here</a> to find out about other ways of measuring information. </em></p><p><a href="https://plus.maths.org/content/information-errors" target="_blank">read more</a></p>https://plus.maths.org/content/information-errors#commentscomputer scienceerror-correcting codeinformation about informationInformation theoryTue, 24 Mar 2015 16:34:31 +0000mf3446316 at https://plus.maths.org/contentCan you measure information?
https://plus.maths.org/content/can-you-measure-information
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/23_mar_2015_-_1400/bits_icon.jpg?1427119206" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>Can you measure information? It's a tricky question — but people have tried and come up with very interesting ideas.</p>
</div>
</div>
</div>
<div class="rightimage" style="width: 200px;"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/packages/2011/fqxi/fqxi_logo.jpg" width="200" height="42" alt="FQXi logo"/></div>
<p>It's a tricky question — whether or not you find something informative depends on your personal point of view and there are many different ways of expressing the same thing. Objectivity seems impossible. Yet, as communication technology became ever more important over the last century or so, objective measures became necessary and people's attempts to find them have led to some very interesting ideas.<p><a href="https://plus.maths.org/content/can-you-measure-information" target="_blank">read more</a></p>https://plus.maths.org/content/can-you-measure-information#commentscomplexityentropyerror-correcting codeFP-carouselinformation about informationInformation theoryTue, 24 Mar 2015 13:35:27 +0000mf3446321 at https://plus.maths.org/contentMathematical mysteries: What colour is my hat?
https://plus.maths.org/content/mathematical-mysteries-what-colour-my-hat
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Mark Wainwright </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/30%20Jun%202010%20-%2017%3A33/mystery-2.gif?1277915590" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>This is a game played between a team of 3 people (Ann, Bob and Chris, say), and a TV game show host. The team enters the room, and the host places a hat on each of their heads. Each hat is either red or blue at random (the host tosses a coin for each team-member to decide which colour of hat to give them). The players can see each others' hats, but no-one can see their own hat.</p>
</div>
</div>
</div>
<div class="pub_date">Sep 2001</div>
<!-- plusimport --><br clear="all"></br>
<p>This is a game played between a team of 3 people (Ann, Bob and Chris, say), and a TV game show host. The team enters the room, and the host places a hat on each of their heads. Each hat is either red or blue at random (the host tosses a coin for each team-member to decide which colour of hat to give them). The players can see each others' hats, but no-one can see their own hat.</p><p><a href="https://plus.maths.org/content/mathematical-mysteries-what-colour-my-hat" target="_blank">read more</a></p>https://plus.maths.org/content/mathematical-mysteries-what-colour-my-hat#comments16error-correcting codegame theoryHamming codeMathematical mysteriesstrategyFri, 01 Dec 2000 00:00:00 +0000plusadmin4752 at https://plus.maths.org/contentTake a break
https://plus.maths.org/content/take-break
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Emily Dixon </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="130" height="129" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/issue12/features/codes/icon.jpg?967762800" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
There are many errors that can occur when numbers are written, printed or transferred in any manner. Luckily, there are schemes in place to detect, and in some cases even correct, such errors almost immediately. <strong>Emily Dixon</strong> takes a break and discovers that codes are not just for sleuths. </div>
</div>
</div>
<div class="pub_date">September 2000</div>
<!-- plusimport -->
<p><a href="https://plus.maths.org/content/take-break" target="_blank">read more</a></p>https://plus.maths.org/content/take-break#comments12barcodeerror-correcting codeISBNmodular arithmeticnon-commutativitypermutationThu, 31 Aug 2000 23:00:00 +0000plusadmin2171 at https://plus.maths.org/contentCoding theory: the first 50 years
https://plus.maths.org/content/coding-theory-first-50-years
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Richard Pinch </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="109" height="110" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/issue3/codes/icon.jpg?873068400" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
Space probes, like NASA's recent Pathfinder mission to Mars, have radio transmitters of only a few watts, but have to transmit pictures and scientific data across hundreds of millions of miles without the information being completely swamped by noise. Read about how coding theory helps. </div>
</div>
</div>
<div class="pub_date">September 1997</div>
<!-- plusimport --><br clear="all"></br>
<p>In recent weeks people all over the world have been fascinated by the pictures and scientific data being relayed from Mars by NASA's Pathfinder mission. For decades space probes have been sending back similar data from the furthest planets. Yet the power of the radio transmitters on these craft is only a few watts, comparable to the strength of a dim electric light bulb. How can this
information be reliably transmitted across hundreds of millions of miles without being completely swamped by noise?<p><a href="https://plus.maths.org/content/coding-theory-first-50-years" target="_blank">read more</a></p>https://plus.maths.org/content/coding-theory-first-50-years#comments3codeerror-correcting codeparity codeSun, 31 Aug 1997 23:00:00 +0000plusadmin2151 at https://plus.maths.org/content