<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://en.formulasearchengine.com/index.php?action=history&amp;feed=atom&amp;title=Pidduck_polynomials</id>
	<title>Pidduck polynomials - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.formulasearchengine.com/index.php?action=history&amp;feed=atom&amp;title=Pidduck_polynomials"/>
	<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/index.php?title=Pidduck_polynomials&amp;action=history"/>
	<updated>2026-06-02T13:50:14Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.0-wmf.28</generator>
	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Pidduck_polynomials&amp;diff=269111&amp;oldid=prev</id>
		<title>en&gt;Rjwilmsi: /* References */Added 2 dois to journal cites using AWB (10104)</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/index.php?title=Pidduck_polynomials&amp;diff=269111&amp;oldid=prev"/>
		<updated>2014-05-10T07:17:38Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;References: &lt;/span&gt;Added 2 dois to journal cites using &lt;a href=&quot;/index.php?title=Testwiki:AWB&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Testwiki:AWB (page does not exist)&quot;&gt;AWB&lt;/a&gt; (10104)&lt;/p&gt;
&lt;a href=&quot;https://en.formulasearchengine.com/index.php?title=Pidduck_polynomials&amp;amp;diff=269111&amp;amp;oldid=27042&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>en&gt;Rjwilmsi</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Pidduck_polynomials&amp;diff=27042&amp;oldid=prev</id>
		<title>en&gt;Headbomb: Various citation cleanup., added orphan tag using AWB</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/index.php?title=Pidduck_polynomials&amp;diff=27042&amp;oldid=prev"/>
		<updated>2011-09-06T18:09:31Z</updated>

		<summary type="html">&lt;p&gt;Various citation cleanup., added &lt;a href=&quot;/index.php?title=CAT:O&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;CAT:O (page does not exist)&quot;&gt;orphan&lt;/a&gt; tag using &lt;a href=&quot;/index.php?title=Testwiki:AWB&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Testwiki:AWB (page does not exist)&quot;&gt;AWB&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In computing, &amp;#039;&amp;#039;&amp;#039;56-bit encryption&amp;#039;&amp;#039;&amp;#039; refers to a [[key size]] of fifty-six [[bit]]s, or seven [[byte]]s, for [[symmetric encryption]].  While stronger than [[40-bit encryption]], this still represents a relatively low level of security in the context of a [[brute force attack]].&lt;br /&gt;
&lt;br /&gt;
==Description==&lt;br /&gt;
The US government traditionally regulated encryption for reasons of national security, law enforcement and foreign policy.  Encryption was regulated from 1976 by the [[Arms Export Control Act]] until control was transferred to the [[Department of Commerce]] in 1996.&lt;br /&gt;
&lt;br /&gt;
56-bit refers to the size of a symmetric key used to encrypt data, with the number of unique possible permutations being &amp;lt;math&amp;gt;2^{56}&amp;lt;/math&amp;gt; (72,057,594,037,927,936).  56-bit encryption has its roots in [[Data Encryption Standard|DES]], which was the official standard of the US [[National Bureau of Standards]] from 1976, and later also the [[RC5]] algorithm.  US government regulations required any users of stronger 56-bit symmetric keys to submit to key recovery though algorithms like [[CDMF]],&amp;lt;ref&amp;gt;{{cite journal|url=http://books.google.com/books?id=yjsEAAAAMBAJ&amp;amp;pg=PA77|page=77|title=Hackers Prove 56-bit DES is not Enough|journal=InfoWorld|date=30 June 1997}}&amp;lt;/ref&amp;gt; effectively reducing the key strength to 40-bit, and thereby allowing organisations such as the [[NSA]] to brute-force this encryption.  Furthermore, from 1996 software products [[export of cryptography|exported]] from the United States were not permitted to use stronger than 56-bit encryption, requiring different software editions for the US and export markets.&amp;lt;ref&amp;gt;{{cite web|url=http://technet.microsoft.com/en-us/library/cc722908.aspx|title=Microsoft Strong Encryption Downloads|publisher=Microsoft|year=2011|accessdate=8 September 2011}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The advent of [[electronic commerce|commerce on the Internet]] and faster computers raised concerns about the security of [[Electronic commerce|electronic transactions]] initially with 40-bit, and subsequently also with 56-bit encryption.  In February 1997, [[RSA Data Security]] ran a brute force competition with a $10,000 prize to demonstrate the weakness of 56-bit encryption; the contest was won four months later.&amp;lt;ref&amp;gt;{{cite news|url=http://news.cnet.com/Group-cracks-56-bit-encryption/2100-1023_3-200705.html|title=Group Cracks 56-bit Encryption|publisher=[[CNET]]|date=18 June 1997|accessdate=19 January 2012}}&amp;lt;/ref&amp;gt;  In July 1998, a successful brute-force attack was demonstrated against 56-bit encryption with a single desktop computer in just 56 hours.&amp;lt;ref&amp;gt;{{cite book|url=http://books.google.com/books?id=m5wLgC546hMC&amp;amp;pg=PA25124|page=25124|title=Congressional Record|volume=144|series=17|publisher=United States Senate|date=October 7, 1998 to October 9, 1998}}&amp;lt;/ref&amp;gt;  &lt;br /&gt;
&lt;br /&gt;
In 1999, all restrictions on key length were lifted, except for exports to embargoed countries.&amp;lt;ref&amp;gt;{{cite paper|url=http://www.au.af.mil/au/awc/awcgate/crs/rl30273.pdf|title=CRS Report for Congress|date=11 january 2001|author=Jeanne J. Grimmett|publisher=Legislative Attorney,&lt;br /&gt;
American Law Division}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
56-bit DES encryption is now obsolete, having been replaced as a standard in 2002 by the 128-bit (and stronger) [[Advanced Encryption Standard]].&lt;br /&gt;
&lt;br /&gt;
==See also==&lt;br /&gt;
*[[40-bit encryption]]&lt;br /&gt;
*[[Pretty Good Privacy]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Symmetric-key cryptography]]&lt;br /&gt;
[[Category:History of cryptography]]&lt;/div&gt;</summary>
		<author><name>en&gt;Headbomb</name></author>
	</entry>
</feed>