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{{short description|Error correction code}}
In [[coding theory]], the '''BCH codes''' or '''Bose–Chaudhuri–Hocquenghem codes''' form a class of [[cyclic code|cyclic]] [[Error correction code|error-correcting codes]] that are constructed using [[polynomial]]s over a [[finite field]] (also called ''[[Finite field|Galois field]]''). BCH codes were invented in 1959 by French mathematician [[Alexis Hocquenghem]], and independently in 1960 by [[Raj Chandra Bose|Raj Bose]] and [[D.K. Ray-Chaudhuri|D. K. Ray-Chaudhuri]].<ref>{{Harvnb|Reed|Chen|1999|p=189}}</ref><ref>{{harvnb|Hocquenghem|1959}}</ref><ref>{{harvnb|Bose|Ray-Chaudhuri|1960}}</ref> The name ''Bose–Chaudhuri–Hocquenghem'' (and the acronym ''BCH'') arises from the initials of the inventors' surnames (mistakenly, in the case of Ray-Chaudhuri).
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