BCH code: Difference between revisions

Revision as of 01:55, 16 July 2020

Revision as of 22:03, 25 August 2020

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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|accessdate=25 February 2012}}</ref> [[compact disc]] players, [[DVD]]s, [[Disk storage|disk drives]], [[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|accessdate=25 February 2012}}</ref>, [[Post-quantum cryptography|quantum-resistant cryptography]]<ref>http://pqc-hqc.org/doc/hqc-specification_2020-05-29.pdf</ref> and [[Bar codes|two-dimensional bar codes]].

== Definition and illustration ==