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	<title>순환 중복 검사 - 편집 역사</title>
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	<updated>2026-04-04T18:08:22Z</updated>
	<subtitle>이 문서의 편집 역사</subtitle>
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		<id>https://wiki.mathnt.net/index.php?title=%EC%88%9C%ED%99%98_%EC%A4%91%EB%B3%B5_%EA%B2%80%EC%82%AC&amp;diff=51234&amp;oldid=prev</id>
		<title>2021년 2월 17일 (수) 08:05에 Pythagoras0님의 편집</title>
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		<updated>2021-02-17T08:05:50Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;ko&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← 이전 판&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;2021년 2월 17일 (수) 08:05 판&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l89&quot; &gt;89번째 줄:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;89번째 줄:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  &amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  &amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;== 메타데이터 ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;==메타데이터==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; 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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===위키데이터===&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===위키데이터===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* ID :  [https://www.wikidata.org/wiki/Q245471 Q245471]&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* ID :  [https://www.wikidata.org/wiki/Q245471 Q245471]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;===Spacy 패턴 목록===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;* [{&amp;#039;LOWER&amp;#039;: &amp;#039;cyclic&amp;#039;}, {&amp;#039;LOWER&amp;#039;: &amp;#039;redundancy&amp;#039;}, {&amp;#039;LEMMA&amp;#039;: &amp;#039;check&amp;#039;}]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;* [{&amp;#039;LEMMA&amp;#039;: &amp;#039;CRC&amp;#039;}]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;* [{&amp;#039;LEMMA&amp;#039;: &amp;#039;CRC8&amp;#039;}]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;* [{&amp;#039;LEMMA&amp;#039;: &amp;#039;CRC32&amp;#039;}]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;* [{&amp;#039;LOWER&amp;#039;: &amp;#039;cyclic&amp;#039;}, {&amp;#039;LOWER&amp;#039;: &amp;#039;redundancy&amp;#039;}, {&amp;#039;LOWER&amp;#039;: &amp;#039;check&amp;#039;}, {&amp;#039;OP&amp;#039;: &amp;#039;*&amp;#039;}, {&amp;#039;LEMMA&amp;#039;: &amp;#039;CRC&amp;#039;}]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;* [{&amp;#039;LOWER&amp;#039;: &amp;#039;cyclical&amp;#039;}, {&amp;#039;LOWER&amp;#039;: &amp;#039;redundancy&amp;#039;}, {&amp;#039;LEMMA&amp;#039;: &amp;#039;check&amp;#039;}]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Pythagoras0</name></author>
	</entry>
	<entry>
		<id>https://wiki.mathnt.net/index.php?title=%EC%88%9C%ED%99%98_%EC%A4%91%EB%B3%B5_%EA%B2%80%EC%82%AC&amp;diff=47031&amp;oldid=prev</id>
		<title>Pythagoras0: /* 메타데이터 */ 새 문단</title>
		<link rel="alternate" type="text/html" href="https://wiki.mathnt.net/index.php?title=%EC%88%9C%ED%99%98_%EC%A4%91%EB%B3%B5_%EA%B2%80%EC%82%AC&amp;diff=47031&amp;oldid=prev"/>
		<updated>2020-12-26T12:16:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;메타데이터: &lt;/span&gt; 새 문단&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;ko&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← 이전 판&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;2020년 12월 26일 (토) 12:16 판&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l88&quot; &gt;88번째 줄:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;88번째 줄:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===소스===&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===소스===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  &amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  &amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;== 메타데이터 ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;===위키데이터===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;* ID :  [https://www.wikidata.org/wiki/Q245471 Q245471]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Pythagoras0</name></author>
	</entry>
	<entry>
		<id>https://wiki.mathnt.net/index.php?title=%EC%88%9C%ED%99%98_%EC%A4%91%EB%B3%B5_%EA%B2%80%EC%82%AC&amp;diff=46294&amp;oldid=prev</id>
		<title>Pythagoras0: /* 노트 */ 새 문단</title>
		<link rel="alternate" type="text/html" href="https://wiki.mathnt.net/index.php?title=%EC%88%9C%ED%99%98_%EC%A4%91%EB%B3%B5_%EA%B2%80%EC%82%AC&amp;diff=46294&amp;oldid=prev"/>
		<updated>2020-12-21T11:04:18Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;노트: &lt;/span&gt; 새 문단&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;새 문서&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== 노트 ==&lt;br /&gt;
&lt;br /&gt;
===위키데이터===&lt;br /&gt;
* ID :  [https://www.wikidata.org/wiki/Q245471 Q245471]&lt;br /&gt;
===말뭉치===&lt;br /&gt;
# Cyclic redundancy check (CRC) is a method of checking data for errors on both the hard disk and optical disks.&amp;lt;ref name=&amp;quot;ref_56507e59&amp;quot;&amp;gt;[https://www.diskinternals.com/partition-recovery/cyclic-redundancy-check-data-error-solve-it/ Cyclic Redundancy Check Data Error - All Methods to Solve It!]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Sometimes, you can get cyclic redundancy check errors, for example, with problems with the registry, file system, or hard disk; or errors when installing any software or incorrectly configured files.&amp;lt;ref name=&amp;quot;ref_56507e59&amp;quot; /&amp;gt;&lt;br /&gt;
# Unfortunately, if you are dealing with a cyclic redundancy check data error, this is quite serious, because your data may be damaged or even deleted.&amp;lt;ref name=&amp;quot;ref_56507e59&amp;quot; /&amp;gt;&lt;br /&gt;
# Therefore, fix cyclic redundancy check errors as soon as possible.&amp;lt;ref name=&amp;quot;ref_56507e59&amp;quot; /&amp;gt;&lt;br /&gt;
# A sending device applies a 16- or 32-bit polynomial to a block of data that is to be transmitted and appends the resulting cyclic redundancy code (CRC) to the block.&amp;lt;ref name=&amp;quot;ref_cbe51a5b&amp;quot;&amp;gt;[https://searchnetworking.techtarget.com/definition/cyclic-redundancy-checking What is cyclic redundancy checking?]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The ITU-TS (CCITT) has a standard for a 16-bit polynomial to be used to obtain the cyclic redundancy code (CRC) that is appended.&amp;lt;ref name=&amp;quot;ref_cbe51a5b&amp;quot; /&amp;gt;&lt;br /&gt;
# For larger transmissions, a 32-bit CRC is used.&amp;lt;ref name=&amp;quot;ref_cbe51a5b&amp;quot; /&amp;gt;&lt;br /&gt;
# This short article is not the place to explore the details of CRC computation and performance—and, furthermore, I’m not qualified to expound on that subject.&amp;lt;ref name=&amp;quot;ref_2409285a&amp;quot;&amp;gt;[https://www.allaboutcircuits.com/technical-articles/the-cyclic-redundancy-check-crc-findingand-even-correctingerrors-in-digital/ The Cyclic Redundancy Check (CRC): Finding—and Even Correcting—Errors in Digital Data]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# It is a 16th-order polynomial, which means that the corresponding binary number is 16 bits wide and that the resulting CRC checksum will be 16 bits wide.&amp;lt;ref name=&amp;quot;ref_2409285a&amp;quot; /&amp;gt;&lt;br /&gt;
# The details of CRC-based error correction are beyond my intellectual comfort zone.&amp;lt;ref name=&amp;quot;ref_2409285a&amp;quot; /&amp;gt;&lt;br /&gt;
# A cyclic redundancy check (CRC) is an Error detection and correction code commonly used in digital Telecommunications networks and storage devices to detect accidental changes to raw data.&amp;lt;ref name=&amp;quot;ref_de04d961&amp;quot;&amp;gt;[https://en.bitcoinwiki.org/wiki/Cyclic_redundancy_check Cyclic redundancy check (CRC)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# CRCs are so called because the check (data verification) value is a redundancy (it expands the message without adding Entropy information) and the CRC algorithm is based on Cyclic codecyclic codes.&amp;lt;ref name=&amp;quot;ref_de04d961&amp;quot; /&amp;gt;&lt;br /&gt;
# Specification of a CRC code requires definition of a so-called generator polynomial.&amp;lt;ref name=&amp;quot;ref_de04d961&amp;quot; /&amp;gt;&lt;br /&gt;
# A CRC is called an n-bit CRC when its check value is n bits long.&amp;lt;ref name=&amp;quot;ref_de04d961&amp;quot; /&amp;gt;&lt;br /&gt;
# A bit stream 10011101 is transmitted using the standard CRC method.&amp;lt;ref name=&amp;quot;ref_f8d40dd1&amp;quot;&amp;gt;[https://www.gatevidyalay.com/cyclic-redundancy-check-crc-error-detection/ Cyclic Redundancy Check]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Simple checks (horizontal and/or vertical) are much less secure against burst errors than a nontrivial CRC with G of degree (typically) 16.&amp;lt;ref name=&amp;quot;ref_32230a88&amp;quot;&amp;gt;[https://www.oxfordreference.com/view/10.1093/oi/authority.20110803095655846 cyclic redundancy check]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The term longitudinal redundancy check (LRC) usually refers to a nontrivial CRC, but may apply to a simple vertical check.&amp;lt;ref name=&amp;quot;ref_32230a88&amp;quot; /&amp;gt;&lt;br /&gt;
# 6 illustrates an embodiment of a operations and functionality within a cyclic redundancy check (CRC) error correction (EC) decoder.&amp;lt;ref name=&amp;quot;ref_5659a573&amp;quot;&amp;gt;[https://www.google.com/patents/US8522121 US8522121B2 - Low complexity error correction using cyclic redundancy check (CRC) - Google Patents]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# 10A illustrates an embodiment of an apparatus that is operative to perform error correction using cyclic redundancy check (CRC) and redundant bit streams.&amp;lt;ref name=&amp;quot;ref_5659a573&amp;quot; /&amp;gt;&lt;br /&gt;
# 10B illustrates an embodiment of an apparatus that is operative to perform error correction using CRC and redundant bit streams.&amp;lt;ref name=&amp;quot;ref_5659a573&amp;quot; /&amp;gt;&lt;br /&gt;
# 11 illustrates an embodiment of a method for performing error correction using CRC and redundant bit streams.&amp;lt;ref name=&amp;quot;ref_5659a573&amp;quot; /&amp;gt;&lt;br /&gt;
# All Altera® Stratix series FPGAs compute the CRC during configuration and store it in registers.&amp;lt;ref name=&amp;quot;ref_70ae8dee&amp;quot;&amp;gt;[https://www.intel.com/content/www/us/en/programmable/products/fpga/features/stx-crc-about.html Stratix: Cyclic Redundancy Check (CRC)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Dedicated circuitry checks it against an automatically computed CRC.&amp;lt;ref name=&amp;quot;ref_70ae8dee&amp;quot; /&amp;gt;&lt;br /&gt;
# With this option, the CRAM CRC detection/correction runs in the background and does not require any user design or external components.&amp;lt;ref name=&amp;quot;ref_70ae8dee&amp;quot; /&amp;gt;&lt;br /&gt;
# The most widely used CRC calculations are done in a manner such that anticipated types of errors (such as transmission channel noise) are usually detected.&amp;lt;ref name=&amp;quot;ref_9da6c514&amp;quot;&amp;gt;[https://www.yourdictionary.com/cyclic-redundancy-check 3 Definitions of Cyclic-redundancy-check - YourDictionary]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The important operation used to calculate a CRC is binary division, with the remainder from the division operation determining the CRC.&amp;lt;ref name=&amp;quot;ref_9da6c514&amp;quot; /&amp;gt;&lt;br /&gt;
# In fact, CRC types are often identified by a polynomial—the number used as the divisor, displayed in hexadecimal format.&amp;lt;ref name=&amp;quot;ref_9da6c514&amp;quot; /&amp;gt;&lt;br /&gt;
# A CRC is used to flag corrupt data and prevent it from being sent over the bus.&amp;lt;ref name=&amp;quot;ref_345306fb&amp;quot;&amp;gt;[https://www.totalphase.com/blog/2020/09/what-is-crc-cyclic-redundancy-check/ What is a CRC (Cyclic Redundancy Check)?]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# With today’s protocols often supporting higher bandwidths and speeds, the CRC is fundamental to keeping data clean and reliable within an embedded system.&amp;lt;ref name=&amp;quot;ref_345306fb&amp;quot; /&amp;gt;&lt;br /&gt;
# How does the CRC get generated and how does it work?&amp;lt;ref name=&amp;quot;ref_345306fb&amp;quot; /&amp;gt;&lt;br /&gt;
# Essentially, the CRC is a value calculated from a number of data bytes to form a unique polynomial key which is appended to the outgoing message.&amp;lt;ref name=&amp;quot;ref_345306fb&amp;quot; /&amp;gt;&lt;br /&gt;
# Cyclic Redundancy Check (CRC) is a block code invented by W. Wesley Peterson in 1961.&amp;lt;ref name=&amp;quot;ref_e4be5d3c&amp;quot;&amp;gt;[https://www.tutorialspoint.com/error-detecting-codes-cyclic-redundancy-checks-crcs Error-Detecting Codes - Cyclic Redundancy Checks (CRCs)]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# CRC involves binary division of the data bits being sent by a predetermined divisor agreed upon by the communicating system.&amp;lt;ref name=&amp;quot;ref_e4be5d3c&amp;quot; /&amp;gt;&lt;br /&gt;
# The communicating parties agrees upon the size of message block and the CRC divisor.&amp;lt;ref name=&amp;quot;ref_e4be5d3c&amp;quot; /&amp;gt;&lt;br /&gt;
# For example, the block chosen may be CRC (7, 4), where 7 is the total length of the block and 4 is the number of bits in the data segment.&amp;lt;ref name=&amp;quot;ref_e4be5d3c&amp;quot; /&amp;gt;&lt;br /&gt;
# The Cyclic Redundancy Check (CRC) is an efficient technique for detecting errors during digital data transmissions between a source and a destination.&amp;lt;ref name=&amp;quot;ref_8f7250da&amp;quot;&amp;gt;[http://www.latticesemi.com/en/Products/DesignSoftwareAndIP/IntellectualProperty/ReferenceDesigns/ReferenceDesigns01/CyclicRedundancyCheck Cyclic Redundancy Check]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The destination device calculates the CRC of the received data.&amp;lt;ref name=&amp;quot;ref_8f7250da&amp;quot; /&amp;gt;&lt;br /&gt;
# If the CRC calculated by the destination device does not match the one calculated by the source device, then the received data contains an error.&amp;lt;ref name=&amp;quot;ref_8f7250da&amp;quot; /&amp;gt;&lt;br /&gt;
# The CRC is based on polynomial manipulations which treat each received message as a binary number.&amp;lt;ref name=&amp;quot;ref_8f7250da&amp;quot; /&amp;gt;&lt;br /&gt;
# A Cyclic Redundancy Check (CRC) is a mathematical calculation on a frame or cell that is used for error detection.&amp;lt;ref name=&amp;quot;ref_9c287b8a&amp;quot;&amp;gt;[https://www.infoblox.com/glossary/cyclic-redundancy-check/ What is Cyclic Redundancy Check (CRC)?]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The Cyclic Redundancy Check (CRC) validation verifies the integrity of the data secured by the backup operations and transferred over a network, and the data stored on the media.&amp;lt;ref name=&amp;quot;ref_218b0f83&amp;quot;&amp;gt;[https://documentation.commvault.com/commvault/v11/article?p=8902.htm Cyclic Redundancy Check (CRC) Validation]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# - Scratches and dust on a disc can cause CRC error.&amp;lt;ref name=&amp;quot;ref_2d332bc5&amp;quot;&amp;gt;[https://support.ubisoft.com/en-gb/Faqs/000027398/Cyclic-Redundancy-Check-Error Cyclic Redundancy Check Error]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# CRC errors occur when your computer detects a discrepancy while verifying data.&amp;lt;ref name=&amp;quot;ref_2d332bc5&amp;quot; /&amp;gt;&lt;br /&gt;
# To compute the CRC, we begin by taking the value of D, 10011001, and multiplying it by 2^3, giving 10011001000.&amp;lt;ref name=&amp;quot;ref_601487dc&amp;quot;&amp;gt;[https://gaia.cs.umass.edu/kurose_ross/interactive/CRC.php Interactive Problems, Computer Networking: A Top Down Approach]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# In Classical CAN, a 15-bit CRC polynomial is used (x15 + x14 + x10 + x8 + x7 +x4 +x3 + x0).&amp;lt;ref name=&amp;quot;ref_36c9a5ea&amp;quot;&amp;gt;[https://www.can-cia.org/can-knowledge/can/crc/ CAN in Automation (CiA): Cyclic redundancy check (CRC) in CAN frames]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Fixed stuff-bits and stuff-bit counter To improve the error detection capability, the CAN FD protocol has introduced fixed stuff-bits in the CRC field.&amp;lt;ref name=&amp;quot;ref_36c9a5ea&amp;quot; /&amp;gt;&lt;br /&gt;
# The 21-bit CRC is specified for data frames with a length of larger than 16 byte.&amp;lt;ref name=&amp;quot;ref_36c9a5ea&amp;quot; /&amp;gt;&lt;br /&gt;
# It is a powerful method for detecting errors in the received data is by grouping the bytes of data into a block and calculating a Cyclic Redundancy Check (CRC).&amp;lt;ref name=&amp;quot;ref_6cd426ca&amp;quot;&amp;gt;[https://erg.abdn.ac.uk/users/gorry/course/dl-pages/crc.html Untitled Document]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The hardware solution for implementing a CRC is much simpler than a software approach.&amp;lt;ref name=&amp;quot;ref_6cd426ca&amp;quot; /&amp;gt;&lt;br /&gt;
# The CRC register is first set to zero (or the initial value on transmission, if non-zero).&amp;lt;ref name=&amp;quot;ref_6cd426ca&amp;quot; /&amp;gt;&lt;br /&gt;
# The bits (this time including the CRC) are fed into the register on each clock cycle.&amp;lt;ref name=&amp;quot;ref_6cd426ca&amp;quot; /&amp;gt;&lt;br /&gt;
# CRC uses Generator Polynomial which is available on both sender and receiver side.&amp;lt;ref name=&amp;quot;ref_a112f854&amp;quot;&amp;gt;[https://www.geeksforgeeks.org/modulo-2-binary-division/ Cyclic Redundancy Check and Modulo-2 Division]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# In CRC mode, the qik expects an extra byte to be added onto the end of every command packet.&amp;lt;ref name=&amp;quot;ref_1d681823&amp;quot;&amp;gt;[https://www.pololu.com/docs/0J25/6 6. Cyclic Redundancy Check (CRC) Error Detection]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The lower seven bits of this byte must be the 7-bit CRC for that packet, or else the qik will set its CRC Error bit in the error byte and ignore the command.&amp;lt;ref name=&amp;quot;ref_1d681823&amp;quot; /&amp;gt;&lt;br /&gt;
# The CRC implemented on the qik is the same as on the jrk motor controller but differs from that on the TReX motor controller.&amp;lt;ref name=&amp;quot;ref_1d681823&amp;quot; /&amp;gt;&lt;br /&gt;
# There are some tricks you can use in your programs to make the CRC calculation much faster.&amp;lt;ref name=&amp;quot;ref_1d681823&amp;quot; /&amp;gt;&lt;br /&gt;
# From time to time, I’ve had to implement various CRC calculations for customers for different data communications systems.&amp;lt;ref name=&amp;quot;ref_e3dd11d7&amp;quot;&amp;gt;[https://www.cardinalpeak.com/understanding-the-cyclic-redundancy-check Understanding the Cyclic Redundancy Check]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# CRC stands for Cyclic Redundancy Check.&amp;lt;ref name=&amp;quot;ref_e3dd11d7&amp;quot; /&amp;gt;&lt;br /&gt;
# A CRC can detect not just bit corruption, but also bit order corruption.&amp;lt;ref name=&amp;quot;ref_e3dd11d7&amp;quot; /&amp;gt;&lt;br /&gt;
# I stated it should be obvious that some CRC polynomials are better than others.&amp;lt;ref name=&amp;quot;ref_e3dd11d7&amp;quot; /&amp;gt;&lt;br /&gt;
# Definition - What does Cyclic Redundancy Check (CRC) mean?&amp;lt;ref name=&amp;quot;ref_b563deb3&amp;quot;&amp;gt;[https://www.techopedia.com/definition/1793/cyclic-redundancy-check-crc What is Cyclic Redundancy Check (CRC)?]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Checksum and CRC are schemes for detecting the errors of data which occur during transmission or storage.&amp;lt;ref name=&amp;quot;ref_05c8f948&amp;quot;&amp;gt;[https://link.springer.com/10.1007%2F978-0-387-39940-9_1474 Checksum and Cyclic Redundancy Check Mechanism]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Cyclic redundancy check mechanism exploits mathematical properties of cyclic codes.&amp;lt;ref name=&amp;quot;ref_05c8f948&amp;quot; /&amp;gt;&lt;br /&gt;
# Specifically, CRC uses polynomial devisor circuits with a given generator polynomial so as to obtain the remainder polynomial.&amp;lt;ref name=&amp;quot;ref_05c8f948&amp;quot; /&amp;gt;&lt;br /&gt;
# CRC can be used as a kind of checksum.&amp;lt;ref name=&amp;quot;ref_05c8f948&amp;quot; /&amp;gt;&lt;br /&gt;
# An alternative, cyclic redundancy checking (CRC), is to send a checksum with each packet of data.&amp;lt;ref name=&amp;quot;ref_02baa6f8&amp;quot;&amp;gt;[https://www.analog.com/en/analog-dialogue/articles/cyclic-redundancy-and-correct-data-communications.html Cyclic Redundancy Checking Ensures Correct Data Communications]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# Many Analog Devices DACs implement CRC in the form of a packet error check (PEC).&amp;lt;ref name=&amp;quot;ref_02baa6f8&amp;quot; /&amp;gt;&lt;br /&gt;
# The CRC polynomial is aligned so that its MSB is adjacent to the leftmost Logic 1 of the 32-bit data.&amp;lt;ref name=&amp;quot;ref_02baa6f8&amp;quot; /&amp;gt;&lt;br /&gt;
# The CRC polynomial is again aligned so that its MSB is adjacent to the leftmost Logic 1 of the first result, and the procedure is repeated.&amp;lt;ref name=&amp;quot;ref_02baa6f8&amp;quot; /&amp;gt;&lt;br /&gt;
# &amp;quot; With the cyclic redundancy check error, you can neither access files nor the storage device on your computer.&amp;lt;ref name=&amp;quot;ref_96e37e73&amp;quot;&amp;gt;[https://www.easeus.com/resource/fix-data-error-cyclic-redundancy-check.html Fix Data Error Cyclic Redundancy Check in 2021]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# The CRC error is an error-detecting technology used in digital networks and storage devices to detect accidental changes to raw data.&amp;lt;ref name=&amp;quot;ref_96e37e73&amp;quot; /&amp;gt;&lt;br /&gt;
# Thus, it&amp;#039;s necessary and urgent to fix the CRC error.&amp;lt;ref name=&amp;quot;ref_96e37e73&amp;quot; /&amp;gt;&lt;br /&gt;
# If your device still has CRC device error, the last effective DIY method you can try is to format the drive, resetting the file system to a readable format.&amp;lt;ref name=&amp;quot;ref_96e37e73&amp;quot; /&amp;gt;&lt;br /&gt;
# The CRC is calculated over the entire transport block that is constructed from the MAC PDU(s).&amp;lt;ref name=&amp;quot;ref_ed2857e4&amp;quot;&amp;gt;[https://www.sciencedirect.com/topics/engineering/cyclic-redundancy-check Cyclic Redundancy Check - an overview]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# N P U S C H + N C R C is larger than the maximum code block size K c b , the bit sequence is segmented, and a 24-bit CRC is attached to each (segmented) code block.&amp;lt;ref name=&amp;quot;ref_ed2857e4&amp;quot; /&amp;gt;&lt;br /&gt;
# A cyclic redundancy check (CRC) is a data verification method your computer uses to check the data on your disks (hard disks like your hard drive and optical disks like CDs and DVDs).&amp;lt;ref name=&amp;quot;ref_d92847e4&amp;quot;&amp;gt;[https://www.wikihow.com/Fix-a-Cyclic-Redundancy-Check-Error How to Fix a Cyclic Redundancy Check Error]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# A cyclic redundancy check error can be caused by several different issues: registry corruption, a cluttered hard disk, an unsuccessful program installation, or misconfigured files.&amp;lt;ref name=&amp;quot;ref_d92847e4&amp;quot; /&amp;gt;&lt;br /&gt;
# Regardless of the specific cause, the cyclic redundancy check error is a serious one and must be addressed to avoid potential data loss or even a total system failure system.&amp;lt;ref name=&amp;quot;ref_d92847e4&amp;quot; /&amp;gt;&lt;br /&gt;
# A cyclic redundancy check (CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to raw data.&amp;lt;ref name=&amp;quot;ref_2de50374&amp;quot;&amp;gt;[https://en.wikipedia.org/wiki/Cyclic_redundancy_check Cyclic redundancy check]&amp;lt;/ref&amp;gt;&lt;br /&gt;
# This is first padded with zeros corresponding to the bit length n of the CRC.&amp;lt;ref name=&amp;quot;ref_2de50374&amp;quot; /&amp;gt;&lt;br /&gt;
# The following Python code outlines a function which will return the initial CRC remainder for a chosen input and polynomial, with either 1 or 0 as the initial padding.&amp;lt;ref name=&amp;quot;ref_2de50374&amp;quot; /&amp;gt;&lt;br /&gt;
# &amp;quot;&amp;quot;&amp;quot;Calculate the CRC remainder of a string of bits using a chosen polynomial.&amp;lt;ref name=&amp;quot;ref_2de50374&amp;quot; /&amp;gt;&lt;br /&gt;
===소스===&lt;br /&gt;
 &amp;lt;references /&amp;gt;&lt;/div&gt;</summary>
		<author><name>Pythagoras0</name></author>
	</entry>
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