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	<title>Comments on: T-functions Testbed</title>
	<link>http://www.literatecode.com/2007/10/23/tftestbed/</link>
	<description>Think it easy</description>
	<pubDate>Fri, 04 Jul 2008 03:45:22 +0000</pubDate>
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		<title>by: Ilya</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13981</link>
		<pubDate>Sun, 11 Nov 2007 04:16:46 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13981</guid>
					<description>Rotation on its own is always a linear transformation. The abovementioned overflow bits involvement just makes it a rotation plus an extra operation.</description>
		<content:encoded><![CDATA[<p>Rotation on its own is always a linear transformation. The abovementioned overflow bits involvement just makes it a rotation plus an extra operation.
</p>
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	<item>
		<title>by: helin</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13951</link>
		<pubDate>Wed, 07 Nov 2007 15:54:17 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13951</guid>
					<description>thanks!

usually,right rotation(left rotation.etc) is linear transform.

but it seems not from your explanation?</description>
		<content:encoded><![CDATA[<p>thanks!</p>
<p>usually,right rotation(left rotation.etc) is linear transform.</p>
<p>but it seems not from your explanation?
</p>
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		<title>by: Ilya</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13915</link>
		<pubDate>Mon, 05 Nov 2007 13:10:00 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13915</guid>
					<description>Helin, your questions are broken because of html tags sanitation. I cannot see them to reply. Please do not use plain &#62; and &#60;  as is while posting.</description>
		<content:encoded><![CDATA[<p>Helin, your questions are broken because of html tags sanitation. I cannot see them to reply. Please do not use plain &gt; and &lt;  as is while posting.
</p>
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		<title>by: helin</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13914</link>
		<pubDate>Mon, 05 Nov 2007 12:12:54 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13914</guid>
					<description>rotation "</description>
		<content:encoded><![CDATA[<p>rotation &#8220;
</p>
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	<item>
		<title>by: helin</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13852</link>
		<pubDate>Sun, 28 Oct 2007 03:19:15 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13852</guid>
					<description>another question:

the rotation operation "</description>
		<content:encoded><![CDATA[<p>another question:</p>
<p>the rotation operation &#8220;
</p>
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		<title>by: helin</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13825</link>
		<pubDate>Fri, 26 Oct 2007 15:54:53 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13825</guid>
					<description>when we say rotation (x</description>
		<content:encoded><![CDATA[<p>when we say rotation (x
</p>
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		<title>by: helin</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13824</link>
		<pubDate>Fri, 26 Oct 2007 15:50:12 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13824</guid>
					<description>thanks for your explanation.

what you mean is y = [a*(~x)&lt;span style="color:darkred"&gt;&#60;&#60;&lt;/span&gt;b]&#124;[a*(~x)&lt;span style="color:darkred"&gt;&#62;&#62;(2&lt;sup&gt;n&lt;/sup&gt;-b)]

Ilya wrote: Yes indeed
&lt;/span&gt;</description>
		<content:encoded><![CDATA[<p>thanks for your explanation.</p>
<p>what you mean is y = [a*(~x)<span style="color:darkred">&lt;&lt;</span>b]|[a*(~x)<span style="color:darkred">&gt;&gt;(2<sup>n</sup>-b)]</p>
<p>Ilya wrote: Yes indeed<br />
</span>
</p>
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		<title>by: Ilya</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13823</link>
		<pubDate>Fri, 26 Oct 2007 14:53:43 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13823</guid>
					<description>Yep, a misunderstanding :)

But note the results of
&lt;code&gt;x=6*neg(x); x=(x&#60;&#60;7)&#124;(x&#62;&#62;1); x %= 256;&lt;/code&gt;
:)

A function in the testbed is mod 2&lt;sup&gt;8&lt;/sup&gt; by default.</description>
		<content:encoded><![CDATA[<p>Yep, a misunderstanding :)</p>
<p>But note the results of<br />
<code>x=6*neg(x); x=(x&lt;&lt;7)|(x&gt;&gt;1); x %= 256;</code><br />
:)</p>
<p>A function in the testbed is mod 2<sup>8</sup> by default.
</p>
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		<title>by: helin</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13822</link>
		<pubDate>Fri, 26 Oct 2007 14:19:58 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13822</guid>
					<description>we are both right under the assumption of ourown.

i am misleaded by "All functions are mod 2^n" in the original paper, and the explanation above is "without mod operation". this leads to our discussion.

maybe i misunderstood you :)</description>
		<content:encoded><![CDATA[<p>we are both right under the assumption of ourown.</p>
<p>i am misleaded by &#8220;All functions are mod 2^n&#8221; in the original paper, and the explanation above is &#8220;without mod operation&#8221;. this leads to our discussion.</p>
<p>maybe i misunderstood you :)
</p>
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		<title>by: Ilya</title>
		<link>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13821</link>
		<pubDate>Fri, 26 Oct 2007 13:40:02 +0000</pubDate>
		<guid>http://www.literatecode.com/2007/10/23/tftestbed/#comment-13821</guid>
					<description>All referenced functions are single cycle and invertible. There is no any contradiction. And your claim about a(~x)&#60;&#60;&#60;b is invertible iif an odd a is regardlessly wrong.</description>
		<content:encoded><![CDATA[<p>All referenced functions are single cycle and invertible. There is no any contradiction. And your claim about a(~x)&lt;&lt;&lt;b is invertible iif an odd a is regardlessly wrong.
</p>
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