Standards/BCH
From UIT

BCH codes have been invented by Bose, Chaudhuri and Hocquenghem. They are used in communication systems for error correction. Similarly to Hamming codes, they are able to detect a certain number of errors and to correct a smaller quantity of them.
These codes are often implemented in addition to convolutional codes.
Definitions
A BCH code is specified by:

n
: total code length 
k
: information data length 
m
: parity bits number 
G
: the generator polynomial
The coded BCH data is often filled with '0' bits up to a length which is a multiple of 8, thus allowing to be transmitted as bytes.
Coder
The parity bits are created with the help of a Linear Feedback Shift Register (LFSR).
The following picture shows a BCH encoder with 7 code bits :
Decoder
The following picture shows the decoder for the previous encoder :