BCH Code

BCH Code

In coding theory the BCH codes form a class of cyclic error-correcting codes that are constructed using finite fields. BCH codes were invented in 1959 by Hocquenghem, and independently in 1960 by Bose and Ray-Chaudhuri. The abbreviation BCH comprises the initials of these inventors' names.

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 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 like satellite communications, compact disc players, DVDs, disk drives, solid-state drives and two-dimensional bar codes.

Read more about BCH Code:  Decoding

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BCH Code - Decoding - Decoding Example
... Consider the code defined above, with in GF(24) ... (This generator is used in the QR code.) Let the message to be transmitted be, or in polynomial notation ...

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