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		<id>http://wiki.karljones.com/index.php?action=history&amp;feed=atom&amp;title=Bent_function</id>
		<title>Bent function - Revision history</title>
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		<updated>2026-10-23T11:15:23Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.karljones.com/index.php?title=Bent_function&amp;diff=19653&amp;oldid=prev</id>
		<title>Karl Jones at 14:41, 11 November 2016</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Bent_function&amp;diff=19653&amp;oldid=prev"/>
				<updated>2016-11-11T14:41:57Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 14:41, 11 November 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In the [[mathematical]] field of [[combinatorics]], a '''bent function''' is a special type of Boolean function.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In the [[mathematical]] field of [[combinatorics]], a '''bent function''' is a special type of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;Boolean function&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]]&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This means it takes several inputs and gives one output, each of which has two possible values (such as 0 and 1, or true and false). &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This means it takes several inputs and gives one output, each of which has two possible values (such as 0 and 1, or true and false). &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 13:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 13:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See also ==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== See also ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* [[Boolean function]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Coding theory]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Coding theory]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Combinatorial design]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Combinatorial design]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

	<entry>
		<id>http://wiki.karljones.com/index.php?title=Bent_function&amp;diff=19650&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;In the mathematical field of combinatorics, a '''bent function''' is a special type of Boolean function.  This means it takes several inputs and gives one output, each...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Bent_function&amp;diff=19650&amp;oldid=prev"/>
				<updated>2016-11-11T14:40:14Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;In the &lt;a href=&quot;/index.php/Mathematical&quot; class=&quot;mw-redirect&quot; title=&quot;Mathematical&quot;&gt;mathematical&lt;/a&gt; field of &lt;a href=&quot;/index.php/Combinatorics&quot; title=&quot;Combinatorics&quot;&gt;combinatorics&lt;/a&gt;, a &amp;#039;&amp;#039;&amp;#039;bent function&amp;#039;&amp;#039;&amp;#039; is a special type of Boolean function.  This means it takes several inputs and gives one output, each...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In the [[mathematical]] field of [[combinatorics]], a '''bent function''' is a special type of Boolean function.&lt;br /&gt;
&lt;br /&gt;
This means it takes several inputs and gives one output, each of which has two possible values (such as 0 and 1, or true and false). &lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
&lt;br /&gt;
The name is figurative. Bent functions are so called because they are as different as possible from all linear and affine functions, the simplest or &amp;quot;straight&amp;quot; functions. This makes the bent functions naturally hard to approximate.&lt;br /&gt;
&lt;br /&gt;
Bent functions were defined and named in the 1960s by [[Oscar Rothaus]] in research not published until 1976. They have been extensively studied for their applications in [[cryptography]], but have also been applied to spread spectrum, [[coding theory]], and [[combinatorial design]].&lt;br /&gt;
&lt;br /&gt;
The definition can be extended in several ways, leading to different classes of generalized bent functions that share many of the useful properties of the original.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Coding theory]]&lt;br /&gt;
* [[Combinatorial design]]&lt;br /&gt;
* [[Hadamard transform]]&lt;br /&gt;
* [[Walsh transform]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Bent_function Bent function] @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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