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One of the key features of BCH codes is that during code design, there is a precise control over the number of symbol errors correctable by the code. In particular, it is possible to design binary BCH codes that can correct multiple bit errors. Another advantage of BCH codes is the ease with which they can be decoded, namely, via an [[Abstract algebra|algebraic]] method known as [[syndrome decoding]]. This simplifies the design of the decoder for these codes, using small low-power electronic hardware.
BCH codes are used in applications such as satellite communications,<ref>{{cite web|title=Phobos Lander Coding System: Software and Analysis|url=http://ipnpr.jpl.nasa.gov/progress_report/42-94/94V.PDF |archive-url=https://ghostarchive.org/archive/20221009/http://ipnpr.jpl.nasa.gov/progress_report/42-94/94V.PDF |archive-date=2022-10-09 |url-status=live|access-date=25 February 2012}}</ref> [[compact disc]] players, [[DVD]]s, [[Disk storage|disk drives]], [[USB flash drive]]s, [[solid-state drive]]s,<ref>{{cite web|title=Sandforce SF-2500/2600 Product Brief|url=http://www.sandforce.com/index.php?id=133&parentId=2&top=1|access-date=25 February 2012}}</ref> [[Post-quantum cryptography|quantum-resistant cryptography]]<ref>http://pqc-hqc.org/doc/hqc-specification_2020-05-29.pdf {{Bare URL PDF|date=March 2022}}</ref> and [[Bar codes|two-dimensional bar codes]].
== Definition and illustration ==
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|date= March 1960
|issn= 0890-5401
|doi=10.1016/s0019-9958(60)90287-4|url= http://repository.lib.ncsu.edu/bitstream/1840.4/2137/1/ISMS_1959_240.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://repository.lib.ncsu.edu/bitstream/1840.4/2137/1/ISMS_1959_240.pdf |archive-date=2022-10-09 |url-status=live
}}
===Secondary sources===
* {{Citation|last=Gill |first=John |title=EE387 Notes #7, Handout #28 |date=n.d. |access-date=April 21, 2010 |pages=42–45 |publisher=Stanford University |url=http://www.stanford.edu/class/ee387/handouts/notes7.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://www.stanford.edu/class/ee387/handouts/notes7.pdf |archive-date=2022-10-09 |url-status=live }}{{dead link|date=June 2021|bot=medic}}{{cbignore|bot=medic}} Course notes are apparently being redone for 2012: http://www.stanford.edu/class/ee387/ {{Webarchive|url=https://web.archive.org/web/20130605170343/http://www.stanford.edu/class/ee387/ |date=2013-06-05 }}
* {{Citation
|last= Gorenstein
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