How to combine multiple GF arrays into 1 big GF array

Hi,

I am creating a Hamming(7,4) code and am holding the contents in a 1x7 gf array. The goal is to take a message such as "hello" (in 8 bits per character) turn it to binary and add the Hamming(7,4) code to it then combine it all back as one. The Hamming code can only do 4 bits at a time so it is returning a 1x7 GF array. For "hello" I obtain 10 1x7 GF arrays. Is there a way to combine these arrays into one big one GF array? Or make it a 2d array? So have an array hold each 1x7 cell array? Is there a way to append the 1x7 to the big array? I am new to MATLAB so I am not sure of all of the processes .

Thank you

Answer 1

[Abhaya]

Hi Nick,

To combine multiple GF arrays either vertically or horizontally, you can use MATLAB's built-in functions. Here's how you can do it:

• Vertical Concatenation: To concatenate multiple GF arrays vertically, you can use MATLAB ‘vertcat’ function.

Below is a simple example of concatenating multiple GF arrays vertically:

    %Two gf arrays of size 1*7
    gfArray1 = gf([1 0 1 1 0 0 1]); 
    gfArray2 = gf([0 1 1 0 1 1 0]); 
    
    % Vertically concatenate 
    combinedGFArrayV = vertcat(gfArray1, gfArray2); 
    
    % Display the result 
    disp(combinedGFArrayV);   

  2x7 gf array with properties:

            x: [2x7 uint32]
            m: 1
    prim_poly: 3

• Horizontal Concatenation: To concatenate multiple GF arrays horizontally, you can use MATLAB ‘horzcat’ function.

Below is an example of concatenating multiple GF arrays horizontally:

     gfArray1 = gf([1 0 1 1 0 0 1]); 
     gfArray2 = gf([0 1 1 0 1 1 0]); 
                
     % Horizontally concatenate 
     combinedGFArrayH = horzcat(gfArray1, gfArray2); 
                
     % Display the result 
     disp(combinedGFArrayH);

  1x14 gf array with properties:

            x: [1 0 1 1 0 0 1 0 1 1 0 1 1 0]
            m: 1
    prim_poly: 3

For further information about ‘vertcat’ and ‘horzcat’, please follow the MATLAB documentations given below.

https://www.mathworks.com/help/releases/R2022a/matlab/ref/vertcat.html

https://www.mathworks.com/help/releases/R2022a/matlab/ref/horzcat.html

Hope this solves your query.