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Cyclic redundancy check
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== External links == {{refbegin}} *{{cite journal |first1=Jubin |last1=Mitra |first2=Tapan |last2=Nayak |title=Reconfigurable very high throughput low latency VLSI (FPGA) design architecture of CRC 32 |journal=Integration, the VLSI Journal |volume=56 |pages=1–14 |date=January 2017 |doi=10.1016/j.vlsi.2016.09.005 }} * [http://www.mathpages.com/home/kmath458.htm Cyclic Redundancy Checks], MathPages, overview of error-detection of different polynomials *{{cite web |author-link=Ross Williams |first=Ross |last=Williams |title=A Painless Guide to CRC Error Detection Algorithms |date=1993 |url=http://www.ross.net/crc/crcpaper.html |access-date=15 August 2011 |archive-url=https://web.archive.org/web/20110903033652/http://www.ross.net/crc/crcpaper.html |archive-date=3 September 2011 |url-status=dead }} *{{cite web |first=Richard |last=Black |title=Fast CRC32 in Software |date=1994 |work=The Blue Book |publisher=Systems Research Group, Computer Laboratory, University of Cambridge |url=http://www.cl.cam.ac.uk/Research/SRG/bluebook/21/crc/crc.html }} Algorithm 4 was used in Linux and Bzip2. *{{cite web |last1=Kounavis |first1=M. |last2=Berry |first2=F. |title=A Systematic Approach to Building High Performance, Software-based, CRC generators |year=2005 |publisher=Intel |url=http://www.intel.com/technology/comms/perfnet/download/CRC_generators.pdf |access-date=4 February 2007 |archive-date=16 December 2006 |archive-url=https://web.archive.org/web/20061216135550/http://www.intel.com/technology/comms/perfnet/download/CRC_generators.pdf |url-status=live }}, Slicing-by-4 and slicing-by-8 algorithms *{{cite web |first=W. |last=Kowalk |title=CRC Cyclic Redundancy Check Analysing and Correcting Errors |date=August 2006 |publisher=Universität Oldenburg |url=http://einstein.informatik.uni-oldenburg.de/papers/CRC-BitfilterEng.pdf |access-date=1 September 2006 |archive-date=11 June 2007 |archive-url=https://web.archive.org/web/20070611140619/http://einstein.informatik.uni-oldenburg.de/papers/CRC-BitfilterEng.pdf |url-status=live }} — Bitfilters *{{cite book |first=Henry S. Jr. |last=Warren |chapter=Cyclic Redundancy Check |title=Hacker's Delight |chapter-url=http://www.hackersdelight.org/crc.pdf |url-status=dead |archive-url=https://web.archive.org/web/20150503014404/http://www.hackersdelight.org/crc.pdf |archive-date=3 May 2015 |title-link=Hacker's Delight }} — theory, practice, hardware, and software with emphasis on CRC-32. *[http://www.cosc.canterbury.ac.nz/greg.ewing/essays/CRC-Reverse-Engineering.html Reverse-Engineering a CRC Algorithm] {{Webarchive|url=https://web.archive.org/web/20110807100031/http://www.cosc.canterbury.ac.nz/greg.ewing/essays/CRC-Reverse-Engineering.html |date=7 August 2011 }} *{{cite web |first=Greg |last=Cook |title=Catalogue of parameterised CRC algorithms |work=CRC RevEng |url=https://reveng.sourceforge.io/crc-catalogue/all.htm |access-date=18 September 2020 |archive-date=1 August 2020 |archive-url=https://web.archive.org/web/20200801122415/https://reveng.sourceforge.io/crc-catalogue/all.htm |url-status=live}} *{{cite web |last=Koopman |first=Phil |title=Blog: Checksum and CRC Central |url=http://checksumcrc.blogspot.com/ }} — includes links to PDFs giving 16 and 32-bit CRC [[Hamming distance]]s **{{cite web |author-mask=1 |last=Koopman |first=Phil |title= Why Life Critical Networks Tend To Provide HD=6 |date=April 2023 |url=http://checksumcrc.blogspot.com/2023/04/why-life-critical-networks-tend-to.html }} *{{cite web |first1=Philip |last1=Koopman |first2=Kevin |last2=Driscoll |first3=Brendan |last3=Hall |title=Cyclic Redundancy Code and Checksum Algorithms to Ensure Critical Data Integrity |date=March 2015 |id=DOT/FAA/TC-14/49 |publisher=Federal Aviation Administration |url=http://www.tc.faa.gov/its/worldpac/techrpt/tc14-49.pdf |access-date=9 May 2015 |archive-date=18 May 2015 |archive-url=https://web.archive.org/web/20150518073214/http://www.tc.faa.gov/its/worldpac/techrpt/tc14-49.pdf |url-status=live }} *{{cite video |first1=Philip |last1=Koopman |title=Mechanics of Cyclic Redundancy Check Calculations |date=January 2023 |via=YouTube |url=https://www.youtube.com/watch?v=qRqvdOAfxcA}} {{refend}} * [https://www.iso.org/standard/37010.html ISO/IEC 13239:2002: Information technology -- Telecommunications and information exchange between systems -- High-level data link control (HDLC) procedures] * [https://github.com/spotify/linux/blob/master/crypto/crc32c.c CRC32-Castagnoli Linux Library] {{Ecma International Standards}} [[Category:Binary arithmetic]] [[Category:Cyclic redundancy checks| ]] [[Category:Finite fields]] [[Category:Polynomials]] [[Category:Wikipedia articles with ASCII art]] [[Category:Articles with example Python (programming language) code]]
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