Communications Toolbox

Representing Words for BCH Codes

A message for an [n,k] BCH code must be a k-column binary Galois array. The code that corresponds to that message is an n-column binary Galois array. Each row of these Galois arrays represents one word.

The example below illustrates how to represent words for a [15, 11] BCH code.

n = 15; k = 5; % Codeword length and message length
msg = gf([1 0 0 1 0; 1 0 1 1 1]); % Two messages in a Galois array
cbch = bchenc(msg,n,k) % Two codewords in a Galois array.

The output is

cbch = GF(2) array. 
 
Array elements = 
 
  Columns 1 through 5 

      1            0            0            1            0      
      1            0            1            1            1      

  Columns 6 through 10 

      0            0            1            1            1      
      0            0            0            0            1      

  Columns 11 through 15 

      1            0            1            0            1      
      0            1            0            0            1  

Creating and Decoding Reed-Solomon Codes

Parameters for BCH Codes

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