How to generate a BCH (63,56) code in Matlab?

Hi everyone,

I need help in generating a specific encoder (and related decoder) in Matlab, in order to simulate the transmission/reception of coded data between a LEO satellite and the ground station with the channel coding techniques suggested by the ECSS and CCSDS documents. In particular I need to generate the BCH encoder/decoder with the coding scheme (63,56) that seems not to be supported by the default Matlab function "bchenc" I've used. This particular code is presented in CCSDS 230.1-G-1 (section 3.5) as a modified version of the standard Hamming (63,57) code and I've already tried to obtained it with the Matlab built-in function "encode", using the attribute 'hamming/binary'.

Can anybody give me some hint?

Thanks a lot in advance, Francesco.

Answer 1

[Shreshth]

Hey Francesco,

To implement a BCH (63,56) encoder and decoder in MATLAB, follow these steps:

1. Define the Generator Polynomial: Identify the correct generator polynomial for the BCH (63,56) code as specified in CCSDS 230.1-G-1.
2. Encoder Implementation: Create a custom function to multiply the message by the generator polynomial, producing the encoded codeword.
3. Decoder Implementation: Create a custom function to perform polynomial division and error correction based on the BCH decoding algorithm.

MATLAB's built-in functions do not directly support BCH (63,56), so you need to manually implement these steps using polynomial operations.