Cyclic redundancy check (English Wikipedia)

Physical layer standard for cdma2000 spread spectrum systems (PDF). Revision D version 2.0. 3rd Generation Partnership Project 2. October 2005. pp. 2–89–2–92. Archived from the original (PDF) on 16 November 2013. Retrieved 14 October 2013.

autosar.org

"7.2.1.2 8-bit 0x2F polynomial CRC Calculation". Specification of CRC Routines (PDF). 4.2.2. Munich: AUTOSAR. 22 July 2015. p. 24. Archived from the original (PDF) on 24 July 2016. Retrieved 24 July 2016.

bbc.co.uk

downloads.bbc.co.uk

Ely, S.R.; Wright, D.T. (March 1982). L.F. Radio-Data: specification of BBC experimental transmissions 1982 (PDF). Research Department, Engineering Division, The British Broadcasting Corporation. p. 9. Archived (PDF) from the original on 12 October 2013. Retrieved 11 October 2013.

berkeley.edu

cs.berkeley.edu

Cam-Winget, Nancy; Housley, Russ; Wagner, David; Walker, Jesse (May 2003). "Security Flaws in 802.11 Data Link Protocols" (PDF). Communications of the ACM. 46 (5): 35–39. CiteSeerX 10.1.1.14.8775. doi:10.1145/769800.769823. S2CID 3132937. Archived (PDF) from the original on 26 May 2013. Retrieved 1 November 2017.

bluetooth.org

"B.7.1.1 HEC generation". Specification of the Bluetooth System. Vol. 2. Bluetooth SIG. 2 December 2014. pp. 144–5. Archived from the original on 26 March 2015. Retrieved 20 October 2014.

books.google.com

Brayer, Kenneth; Hammond, Joseph L. Jr. (December 1975). Evaluation of error detection polynomial performance on the AUTOVON channel. NTC 75 : National Telecommunications Conference, December 1–3, 1975, New Orleans, Louisiana. Vol. 1. Institute of Electrical and Electronics Engineers. pp. 8–21–5. Bibcode:1975ntc.....1....8B. OCLC 32688603. 75 CH 1015-7 CSCB.
Richardson, Andrew (17 March 2005). WCDMA Handbook. Cambridge University Press. p. 223. ISBN 978-0-521-82815-4.

bosch-semiconductors.de

CAN with Flexible Data-Rate Specification (PDF). 1.0. Robert Bosch GmbH. 17 April 2012. p. 13. Archived from the original (PDF) on 22 August 2013. (3.2.1 DATA FRAME)

bts.gov

ntl.bts.gov

Rehmann, Albert; Mestre, José D. (February 1995). "Air Ground Data Link VHF Airline Communications and Reporting System (ACARS) Preliminary Test Report" (PDF). Federal Aviation Authority Technical Center. p. 5. Archived from the original (PDF) on 2 August 2012. Retrieved 7 July 2012.

can-cia.org

"Cyclic redundancy check (CRC) in CAN frames". CAN in Automation. Archived from the original on 1 February 2016. Retrieved 26 January 2016.

canterbury.ac.nz

cosc.canterbury.ac.nz

Ewing, Gregory C. (March 2010). "Reverse-Engineering a CRC Algorithm". Christchurch: University of Canterbury. Archived from the original on 7 August 2011. Retrieved 26 July 2011.

ciphersbyritter.com

Ritter, Terry (February 1986). "The Great CRC Mystery". Dr. Dobb's Journal. 11 (2): 26–34, 76–83. Archived from the original on 16 April 2009. Retrieved 21 May 2009.

cmu.edu

users.ece.cmu.edu

Koopman, Philip (21 January 2016). "Best CRC Polynomials". Carnegie Mellon University. Archived from the original on 20 January 2016. Retrieved 26 January 2016.
"32 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 19 March 2018. Retrieved 5 November 2017.
"3 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 7 April 2018. Retrieved 19 January 2018.
"6 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 7 April 2018. Retrieved 19 January 2018.
"8 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 7 April 2018. Retrieved 19 January 2018.
Koopman, Philip P. (20 May 2018). "24 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 7 April 2018. Retrieved 19 January 2018.

ece.cmu.edu

Koopman, Philip; Chakravarty, Tridib (June 2004). "Cyclic redundancy code (CRC) polynomial selection for embedded networks". International Conference on Dependable Systems and Networks, 2004 (PDF). pp. 145–154. CiteSeerX 10.1.1.648.9080. doi:10.1109/DSN.2004.1311885. ISBN 978-0-7695-2052-0. S2CID 793862. Archived (PDF) from the original on 11 September 2011. Retrieved 14 January 2011.
Koopman, Philip (July 2002). "32-bit cyclic redundancy codes for Internet applications". Proceedings International Conference on Dependable Systems and Networks (PDF). pp. 459–468. CiteSeerX 10.1.1.11.8323. doi:10.1109/DSN.2002.1028931. ISBN 978-0-7695-1597-7. S2CID 14775606. Archived (PDF) from the original on 16 September 2012. Retrieved 14 January 2011.
Chakravarty, Tridib (December 2001). Performance of Cyclic Redundancy Codes for Embedded Networks (PDF) (Thesis). Philip Koopman, advisor. Carnegie Mellon University. pp. 5, 18. Archived (PDF) from the original on 1 January 2014. Retrieved 8 July 2013.

cypress.com

Cyclic Redundancy Check (CRC): PSoC Creator™ Component Datasheet. Cypress Semiconductor. 20 February 2013. p. 4. Archived from the original on 2 February 2016. Retrieved 26 January 2016.

doi.org

Pundir, Meena; Sandhu, Jasminder Kaur (2021). "A Systematic Review of Quality of Service in Wireless Sensor Networks using Machine Learning: Recent Trend and Future Vision". Journal of Network and Computer Applications. 188: 103084. doi:10.1016/j.jnca.2021.103084. Cyclic Redundancy Check (CRC) mechanism is used to protect the data and provide protection of integrity from error bits when data is transmitted from sender to receiver.
Schiller, Frank; Mattes, Tina (2007). "Analysis of CRC-Polynomials for Safety-Critical Communication by Deterministic and Stochastic Automata". Fault Detection, Supervision and Safety of Technical Processes 2006. Elsevier. pp. 944–949. doi:10.1016/b978-008044485-7/50159-7. ISBN 978-0-08-044485-7. Cyclic Redundancy Check (CRC) is an efficient method to ensure a low probability of undetected errors in data transmission using a checksum as a result of polynomial division.
Peterson, W. W.; Brown, D. T. (January 1961). "Cyclic Codes for Error Detection". Proceedings of the IRE. 49 (1): 228–235. doi:10.1109/JRPROC.1961.287814. S2CID 51666741.
Ergen, Mustafa (21 January 2008). "2.3.3 Error Detection Coding". Mobile Broadband. Springer. pp. 29–30. doi:10.1007/978-0-387-68192-4_2. ISBN 978-0-387-68192-4.
Cam-Winget, Nancy; Housley, Russ; Wagner, David; Walker, Jesse (May 2003). "Security Flaws in 802.11 Data Link Protocols" (PDF). Communications of the ACM. 46 (5): 35–39. CiteSeerX 10.1.1.14.8775. doi:10.1145/769800.769823. S2CID 3132937. Archived (PDF) from the original on 26 May 2013. Retrieved 1 November 2017.
Koopman, Philip; Chakravarty, Tridib (June 2004). "Cyclic redundancy code (CRC) polynomial selection for embedded networks". International Conference on Dependable Systems and Networks, 2004 (PDF). pp. 145–154. CiteSeerX 10.1.1.648.9080. doi:10.1109/DSN.2004.1311885. ISBN 978-0-7695-2052-0. S2CID 793862. Archived (PDF) from the original on 11 September 2011. Retrieved 14 January 2011.
Castagnoli, G.; Bräuer, S.; Herrmann, M. (June 1993). "Optimization of Cyclic Redundancy-Check Codes with 24 and 32 Parity Bits". IEEE Transactions on Communications. 41 (6): 883–892. doi:10.1109/26.231911.
Koopman, Philip (July 2002). "32-bit cyclic redundancy codes for Internet applications". Proceedings International Conference on Dependable Systems and Networks (PDF). pp. 459–468. CiteSeerX 10.1.1.11.8323. doi:10.1109/DSN.2002.1028931. ISBN 978-0-7695-1597-7. S2CID 14775606. Archived (PDF) from the original on 16 September 2012. Retrieved 14 January 2011.
Perez, A. (1983). "Byte-Wise CRC Calculations". IEEE Micro. 3 (3): 40–50. doi:10.1109/MM.1983.291120. S2CID 206471618.
Ramabadran, T.V.; Gaitonde, S.S. (1988). "A tutorial on CRC computations". IEEE Micro. 8 (4): 62–75. doi:10.1109/40.7773. S2CID 10216862.

drdobbs.com

"An Algorithm for Error Correcting Cyclic Redundance Checks". drdobbs.com. Archived from the original on 20 July 2017. Retrieved 28 June 2017.

dtic.mil

apps.dtic.mil

Brayer, Kenneth (August 1975). Evaluation of 32 Degree Polynomials in Error Detection on the SATIN IV Autovon Error Patterns (Report). National Technical Information Service. ADA014825. Archived from the original on 31 December 2021. Retrieved 31 December 2021.
Hammond, Joseph L. Jr.; Brown, James E.; Liu, Shyan-Shiang (1975). "Development of a Transmission Error Model and an Error Control Model". NASA Sti/Recon Technical Report N. 76 (published May 1975): 15344. Bibcode:1975STIN...7615344H. ADA013939. Archived from the original on 31 December 2021. Retrieved 31 December 2021.

ethernet-powerlink.org

"5.1.1.8 Cyclic Redundancy Check field (CRC-8 / CRC-16)". openSAFETY Safety Profile Specification: EPSG Working Draft Proposal 304. 1.4.0. Berlin: Ethernet POWERLINK Standardisation Group. 13 March 2013. p. 42. Archived from the original on 12 August 2017. Retrieved 22 July 2016.

etsi.org

ETSI TS 100 909 (PDF). V8.9.0. Sophia Antipolis, France: European Telecommunications Standards Institute. January 2005. Archived (PDF) from the original on 17 April 2018. Retrieved 21 October 2016.
"11. Error correction strategy". ETSI EN 300 751 (PDF). V1.2.1. Sophia Antipolis, France: European Telecommunications Standards Institute. January 2003. pp. 67–8. Archived (PDF) from the original on 28 December 2015. Retrieved 26 January 2016.
"5.1.4 CRC-8 encoder (for packetized streams only)". EN 302 307 (PDF). V1.3.1. Sophia Antipolis, France: European Telecommunications Standards Institute. March 2013. p. 17. Archived (PDF) from the original on 30 August 2017. Retrieved 29 July 2016.
"6.2.5 Error control". ETSI EN 300 175-3 (PDF). V2.5.1. Sophia Antipolis, France: European Telecommunications Standards Institute. August 2013. pp. 99, 101. Archived (PDF) from the original on 1 July 2015. Retrieved 26 January 2016.
ETSI TS 100 909 Archived 17 April 2018 at the Wayback Machine version 8.9.0 (January 2005), Section 4.1.2 a

eurocontrol.int

AIXM Primer (PDF). 4.5. European Organisation for the Safety of Air Navigation. 20 March 2006. Archived (PDF) from the original on 20 November 2018. Retrieved 3 February 2019.

freescale.com

"Longwave Radio Data Decoding using and HC11 and an MC3371" (PDF). Freescale Semiconductor. 2004. AN1597/D. Archived from the original (PDF) on 24 September 2015.

gs1.org

Class-1 Generation-2 UHF RFID Protocol (PDF). 1.2.0. EPCglobal. 23 October 2008. p. 35. Archived (PDF) from the original on 19 March 2012. Retrieved 4 July 2012. (Table 6.12)

harvard.edu

ui.adsabs.harvard.edu

Hammond, Joseph L. Jr.; Brown, James E.; Liu, Shyan-Shiang (1975). "Development of a Transmission Error Model and an Error Control Model". NASA Sti/Recon Technical Report N. 76 (published May 1975): 15344. Bibcode:1975STIN...7615344H. ADA013939. Archived from the original on 31 December 2021. Retrieved 31 December 2021.
Brayer, Kenneth; Hammond, Joseph L. Jr. (December 1975). Evaluation of error detection polynomial performance on the AUTOVON channel. NTC 75 : National Telecommunications Conference, December 1–3, 1975, New Orleans, Louisiana. Vol. 1. Institute of Electrical and Electronics Engineers. pp. 8–21–5. Bibcode:1975ntc.....1....8B. OCLC 32688603. 75 CH 1015-7 CSCB.

hu-berlin.de

sar.informatik.hu-berlin.de

Stigge, Martin; Plötz, Henryk; Müller, Wolf; Redlich, Jens-Peter (May 2006). "Reversing CRC – Theory and Practice" (PDF). Humboldt University Berlin. p. 17. SAR-PR-2006-05. Archived from the original (PDF) on 19 July 2011. Retrieved 4 February 2011. The presented methods offer a very easy and efficient way to modify your data so that it will compute to a CRC you want or at least know in advance.

kuebler.com

"8.8.4 Check Octet (FCS)". PROFIBUS Specification Normative Parts (PDF). 1.0. Vol. 9. Profibus International. March 1998. p. 906. Archived from the original (PDF) on 16 November 2008. Retrieved 9 July 2016.

libpng.org

Boutell, Thomas; Randers-Pehrson, Glenn; et al. (14 July 1998). "PNG (Portable Network Graphics) Specification, Version 1.2". Libpng.org. Archived from the original on 3 September 2011. Retrieved 3 February 2011.

matpack.de

Gammel, Berndt M. (31 October 2005). Matpack documentation: Crypto – Codes. Matpack.de. Archived from the original on 25 August 2013. Retrieved 21 April 2013. (Note: MpCRC.html is included with the Matpack compressed software source code, under /html/LibDoc/Crypto)

ncl.ac.uk

homepages.cs.ncl.ac.uk

Whitfield, Harry (24 April 2001). "XFCNs for Cyclic Redundancy Check Calculations". Archived from the original on 25 May 2005.

numerical.recipes

Press, WH; Teukolsky, SA; Vetterling, WT; Flannery, BP (2007). "Section 22.4 Cyclic Redundancy and Other Checksums". Numerical Recipes: The Art of Scientific Computing (3rd ed.). Cambridge University Press. ISBN 978-0-521-88068-8. Archived from the original on 13 July 2024. Retrieved 20 August 2024.

ofcom.org.uk

"3.2.3 Encoding and error checking". A signalling standard for trunked private land mobile radio systems (MPT 1327) (PDF) (3rd ed.). Ofcom. June 1997. p. 3. Archived (PDF) from the original on 14 July 2012. Retrieved 16 July 2012.

opengroup.org

pubs.opengroup.org

"cksum". pubs.opengroup.org. Archived from the original on 18 July 2018. Retrieved 27 June 2017.

psu.edu

citeseerx.ist.psu.edu

Cam-Winget, Nancy; Housley, Russ; Wagner, David; Walker, Jesse (May 2003). "Security Flaws in 802.11 Data Link Protocols" (PDF). Communications of the ACM. 46 (5): 35–39. CiteSeerX 10.1.1.14.8775. doi:10.1145/769800.769823. S2CID 3132937. Archived (PDF) from the original on 26 May 2013. Retrieved 1 November 2017.
Koopman, Philip; Chakravarty, Tridib (June 2004). "Cyclic redundancy code (CRC) polynomial selection for embedded networks". International Conference on Dependable Systems and Networks, 2004 (PDF). pp. 145–154. CiteSeerX 10.1.1.648.9080. doi:10.1109/DSN.2004.1311885. ISBN 978-0-7695-2052-0. S2CID 793862. Archived (PDF) from the original on 11 September 2011. Retrieved 14 January 2011.
Koopman, Philip (July 2002). "32-bit cyclic redundancy codes for Internet applications". Proceedings International Conference on Dependable Systems and Networks (PDF). pp. 459–468. CiteSeerX 10.1.1.11.8323. doi:10.1109/DSN.2002.1028931. ISBN 978-0-7695-1597-7. S2CID 14775606. Archived (PDF) from the original on 16 September 2012. Retrieved 14 January 2011.

roug.org

"OS-9 Operating System System Programmer's Manual". roug.org. Archived from the original on 17 July 2018. Retrieved 17 July 2018.

semanticscholar.org

api.semanticscholar.org

Peterson, W. W.; Brown, D. T. (January 1961). "Cyclic Codes for Error Detection". Proceedings of the IRE. 49 (1): 228–235. doi:10.1109/JRPROC.1961.287814. S2CID 51666741.
Cam-Winget, Nancy; Housley, Russ; Wagner, David; Walker, Jesse (May 2003). "Security Flaws in 802.11 Data Link Protocols" (PDF). Communications of the ACM. 46 (5): 35–39. CiteSeerX 10.1.1.14.8775. doi:10.1145/769800.769823. S2CID 3132937. Archived (PDF) from the original on 26 May 2013. Retrieved 1 November 2017.
Koopman, Philip; Chakravarty, Tridib (June 2004). "Cyclic redundancy code (CRC) polynomial selection for embedded networks". International Conference on Dependable Systems and Networks, 2004 (PDF). pp. 145–154. CiteSeerX 10.1.1.648.9080. doi:10.1109/DSN.2004.1311885. ISBN 978-0-7695-2052-0. S2CID 793862. Archived (PDF) from the original on 11 September 2011. Retrieved 14 January 2011.
Koopman, Philip (July 2002). "32-bit cyclic redundancy codes for Internet applications". Proceedings International Conference on Dependable Systems and Networks (PDF). pp. 459–468. CiteSeerX 10.1.1.11.8323. doi:10.1109/DSN.2002.1028931. ISBN 978-0-7695-1597-7. S2CID 14775606. Archived (PDF) from the original on 16 September 2012. Retrieved 14 January 2011.
Perez, A. (1983). "Byte-Wise CRC Calculations". IEEE Micro. 3 (3): 40–50. doi:10.1109/MM.1983.291120. S2CID 206471618.
Ramabadran, T.V.; Gaitonde, S.S. (1988). "A tutorial on CRC computations". IEEE Micro. 8 (4): 62–75. doi:10.1109/40.7773. S2CID 10216862.

sourceforge.io

reveng.sourceforge.io

Cook, Greg (15 August 2020). "Catalogue of parametrised CRC algorithms". Archived from the original on 1 August 2020. Retrieved 18 September 2020.

stackexchange.com

crypto.stackexchange.com

"algorithm design – Why is CRC said to be linear?". Cryptography Stack Exchange. Retrieved 5 May 2019.

t10.org

Thaler, Pat (28 August 2003). "16-bit CRC polynomial selection" (PDF). INCITS T10. Archived (PDF) from the original on 28 July 2011. Retrieved 11 August 2009.

ti.com

Geremia, Patrick (April 1999). "Cyclic redundancy check computation: an implementation using the TMS320C54x" (PDF). Texas Instruments. p. 5. Archived (PDF) from the original on 14 June 2012. Retrieved 4 July 2012.

ucl.ac.uk

cs.ucl.ac.uk

Jones, David T. "An Improved 64-bit Cyclic Redundancy Check for Protein Sequences" (PDF). University College London. Archived (PDF) from the original on 7 June 2011. Retrieved 15 December 2009.

web.archive.org

"An Algorithm for Error Correcting Cyclic Redundance Checks". drdobbs.com. Archived from the original on 20 July 2017. Retrieved 28 June 2017.
Ritter, Terry (February 1986). "The Great CRC Mystery". Dr. Dobb's Journal. 11 (2): 26–34, 76–83. Archived from the original on 16 April 2009. Retrieved 21 May 2009.
Stigge, Martin; Plötz, Henryk; Müller, Wolf; Redlich, Jens-Peter (May 2006). "Reversing CRC – Theory and Practice" (PDF). Humboldt University Berlin. p. 17. SAR-PR-2006-05. Archived from the original (PDF) on 19 July 2011. Retrieved 4 February 2011. The presented methods offer a very easy and efficient way to modify your data so that it will compute to a CRC you want or at least know in advance.
Cam-Winget, Nancy; Housley, Russ; Wagner, David; Walker, Jesse (May 2003). "Security Flaws in 802.11 Data Link Protocols" (PDF). Communications of the ACM. 46 (5): 35–39. CiteSeerX 10.1.1.14.8775. doi:10.1145/769800.769823. S2CID 3132937. Archived (PDF) from the original on 26 May 2013. Retrieved 1 November 2017.
Williams, Ross N. (24 September 1996). "A Painless Guide to CRC Error Detection Algorithms V3.0". Archived from the original on 2 April 2018. Retrieved 23 May 2019.
Press, WH; Teukolsky, SA; Vetterling, WT; Flannery, BP (2007). "Section 22.4 Cyclic Redundancy and Other Checksums". Numerical Recipes: The Art of Scientific Computing (3rd ed.). Cambridge University Press. ISBN 978-0-521-88068-8. Archived from the original on 13 July 2024. Retrieved 20 August 2024.
Ewing, Gregory C. (March 2010). "Reverse-Engineering a CRC Algorithm". Christchurch: University of Canterbury. Archived from the original on 7 August 2011. Retrieved 26 July 2011.
Koopman, Philip; Chakravarty, Tridib (June 2004). "Cyclic redundancy code (CRC) polynomial selection for embedded networks". International Conference on Dependable Systems and Networks, 2004 (PDF). pp. 145–154. CiteSeerX 10.1.1.648.9080. doi:10.1109/DSN.2004.1311885. ISBN 978-0-7695-2052-0. S2CID 793862. Archived (PDF) from the original on 11 September 2011. Retrieved 14 January 2011.
Cook, Greg (15 August 2020). "Catalogue of parametrised CRC algorithms". Archived from the original on 1 August 2020. Retrieved 18 September 2020.
Koopman, Philip (July 2002). "32-bit cyclic redundancy codes for Internet applications". Proceedings International Conference on Dependable Systems and Networks (PDF). pp. 459–468. CiteSeerX 10.1.1.11.8323. doi:10.1109/DSN.2002.1028931. ISBN 978-0-7695-1597-7. S2CID 14775606. Archived (PDF) from the original on 16 September 2012. Retrieved 14 January 2011.
Koopman, Philip (21 January 2016). "Best CRC Polynomials". Carnegie Mellon University. Archived from the original on 20 January 2016. Retrieved 26 January 2016.
Brayer, Kenneth (August 1975). Evaluation of 32 Degree Polynomials in Error Detection on the SATIN IV Autovon Error Patterns (Report). National Technical Information Service. ADA014825. Archived from the original on 31 December 2021. Retrieved 31 December 2021.
Hammond, Joseph L. Jr.; Brown, James E.; Liu, Shyan-Shiang (1975). "Development of a Transmission Error Model and an Error Control Model". NASA Sti/Recon Technical Report N. 76 (published May 1975): 15344. Bibcode:1975STIN...7615344H. ADA013939. Archived from the original on 31 December 2021. Retrieved 31 December 2021.
"32 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 19 March 2018. Retrieved 5 November 2017.
ETSI TS 100 909 (PDF). V8.9.0. Sophia Antipolis, France: European Telecommunications Standards Institute. January 2005. Archived (PDF) from the original on 17 April 2018. Retrieved 21 October 2016.
"3 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 7 April 2018. Retrieved 19 January 2018.
Class-1 Generation-2 UHF RFID Protocol (PDF). 1.2.0. EPCglobal. 23 October 2008. p. 35. Archived (PDF) from the original on 19 March 2012. Retrieved 4 July 2012. (Table 6.12)
Physical layer standard for cdma2000 spread spectrum systems (PDF). Revision D version 2.0. 3rd Generation Partnership Project 2. October 2005. pp. 2–89–2–92. Archived from the original (PDF) on 16 November 2013. Retrieved 14 October 2013.
"11. Error correction strategy". ETSI EN 300 751 (PDF). V1.2.1. Sophia Antipolis, France: European Telecommunications Standards Institute. January 2003. pp. 67–8. Archived (PDF) from the original on 28 December 2015. Retrieved 26 January 2016.
"6 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 7 April 2018. Retrieved 19 January 2018.
Chakravarty, Tridib (December 2001). Performance of Cyclic Redundancy Codes for Embedded Networks (PDF) (Thesis). Philip Koopman, advisor. Carnegie Mellon University. pp. 5, 18. Archived (PDF) from the original on 1 January 2014. Retrieved 8 July 2013.
"5.1.4 CRC-8 encoder (for packetized streams only)". EN 302 307 (PDF). V1.3.1. Sophia Antipolis, France: European Telecommunications Standards Institute. March 2013. p. 17. Archived (PDF) from the original on 30 August 2017. Retrieved 29 July 2016.
"8 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 7 April 2018. Retrieved 19 January 2018.
"7.2.1.2 8-bit 0x2F polynomial CRC Calculation". Specification of CRC Routines (PDF). 4.2.2. Munich: AUTOSAR. 22 July 2015. p. 24. Archived from the original (PDF) on 24 July 2016. Retrieved 24 July 2016.
"5.1.1.8 Cyclic Redundancy Check field (CRC-8 / CRC-16)". openSAFETY Safety Profile Specification: EPSG Working Draft Proposal 304. 1.4.0. Berlin: Ethernet POWERLINK Standardisation Group. 13 March 2013. p. 42. Archived from the original on 12 August 2017. Retrieved 22 July 2016.
"B.7.1.1 HEC generation". Specification of the Bluetooth System. Vol. 2. Bluetooth SIG. 2 December 2014. pp. 144–5. Archived from the original on 26 March 2015. Retrieved 20 October 2014.
Whitfield, Harry (24 April 2001). "XFCNs for Cyclic Redundancy Check Calculations". Archived from the original on 25 May 2005.
"Longwave Radio Data Decoding using and HC11 and an MC3371" (PDF). Freescale Semiconductor. 2004. AN1597/D. Archived from the original (PDF) on 24 September 2015.
Ely, S.R.; Wright, D.T. (March 1982). L.F. Radio-Data: specification of BBC experimental transmissions 1982 (PDF). Research Department, Engineering Division, The British Broadcasting Corporation. p. 9. Archived (PDF) from the original on 12 October 2013. Retrieved 11 October 2013.
Cyclic Redundancy Check (CRC): PSoC Creator™ Component Datasheet. Cypress Semiconductor. 20 February 2013. p. 4. Archived from the original on 2 February 2016. Retrieved 26 January 2016.
"Cyclic redundancy check (CRC) in CAN frames". CAN in Automation. Archived from the original on 1 February 2016. Retrieved 26 January 2016.
"3.2.3 Encoding and error checking". A signalling standard for trunked private land mobile radio systems (MPT 1327) (PDF) (3rd ed.). Ofcom. June 1997. p. 3. Archived (PDF) from the original on 14 July 2012. Retrieved 16 July 2012.
Rehmann, Albert; Mestre, José D. (February 1995). "Air Ground Data Link VHF Airline Communications and Reporting System (ACARS) Preliminary Test Report" (PDF). Federal Aviation Authority Technical Center. p. 5. Archived from the original (PDF) on 2 August 2012. Retrieved 7 July 2012.
"6.2.5 Error control". ETSI EN 300 175-3 (PDF). V2.5.1. Sophia Antipolis, France: European Telecommunications Standards Institute. August 2013. pp. 99, 101. Archived (PDF) from the original on 1 July 2015. Retrieved 26 January 2016.
Thaler, Pat (28 August 2003). "16-bit CRC polynomial selection" (PDF). INCITS T10. Archived (PDF) from the original on 28 July 2011. Retrieved 11 August 2009.
"8.8.4 Check Octet (FCS)". PROFIBUS Specification Normative Parts (PDF). 1.0. Vol. 9. Profibus International. March 1998. p. 906. Archived from the original (PDF) on 16 November 2008. Retrieved 9 July 2016.
CAN with Flexible Data-Rate Specification (PDF). 1.0. Robert Bosch GmbH. 17 April 2012. p. 13. Archived from the original (PDF) on 22 August 2013. (3.2.1 DATA FRAME)
"OS-9 Operating System System Programmer's Manual". roug.org. Archived from the original on 17 July 2018. Retrieved 17 July 2018.
Koopman, Philip P. (20 May 2018). "24 Bit CRC Zoo". users.ece.cmu.edu. Archived from the original on 7 April 2018. Retrieved 19 January 2018.
"cksum". pubs.opengroup.org. Archived from the original on 18 July 2018. Retrieved 27 June 2017.
Boutell, Thomas; Randers-Pehrson, Glenn; et al. (14 July 1998). "PNG (Portable Network Graphics) Specification, Version 1.2". Libpng.org. Archived from the original on 3 September 2011. Retrieved 3 February 2011.
AIXM Primer (PDF). 4.5. European Organisation for the Safety of Air Navigation. 20 March 2006. Archived (PDF) from the original on 20 November 2018. Retrieved 3 February 2019.
ETSI TS 100 909 Archived 17 April 2018 at the Wayback Machine version 8.9.0 (January 2005), Section 4.1.2 a
Gammel, Berndt M. (31 October 2005). Matpack documentation: Crypto – Codes. Matpack.de. Archived from the original on 25 August 2013. Retrieved 21 April 2013. (Note: MpCRC.html is included with the Matpack compressed software source code, under /html/LibDoc/Crypto)
Geremia, Patrick (April 1999). "Cyclic redundancy check computation: an implementation using the TMS320C54x" (PDF). Texas Instruments. p. 5. Archived (PDF) from the original on 14 June 2012. Retrieved 4 July 2012.
Jones, David T. "An Improved 64-bit Cyclic Redundancy Check for Protein Sequences" (PDF). University College London. Archived (PDF) from the original on 7 June 2011. Retrieved 15 December 2009.

wolfgang-ehrhardt.de

Williams, Ross N. (24 September 1996). "A Painless Guide to CRC Error Detection Algorithms V3.0". Archived from the original on 2 April 2018. Retrieved 23 May 2019.

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Brayer, Kenneth; Hammond, Joseph L. Jr. (December 1975). Evaluation of error detection polynomial performance on the AUTOVON channel. NTC 75 : National Telecommunications Conference, December 1–3, 1975, New Orleans, Louisiana. Vol. 1. Institute of Electrical and Electronics Engineers. pp. 8–21–5. Bibcode:1975ntc.....1....8B. OCLC 32688603. 75 CH 1015-7 CSCB.