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How to find GF(2^m)
clc;
clear all;
close all;
x1='1100110011';
x2='1111001100';
y0='0000000000';
H ='1111011010'
yy= xor(y0-'0',x1-'0');
y1=gfmul(yy,H);
I got an error as this: Error using gfmul All inputs must be real integers.
Error in hash1 (line 11) y1=gfmul(yy,H);
What correction should i make?

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KSSV
KSSV 2017-10-23
Read the doc here: https://in.mathworks.com/help/comm/ref/gfmul.html gfmul accepts double i.e matrix as input. You are inputting a string and logical which is not correct.

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Guillaume
Guillaume 2017-10-23

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It's not very clear what exactly you're intending to gfmul. If it's the two numbers that are represented by the binary pattern in yy and H (one being a vector of bits, the other a char array of bits), then maybe:
x1 = '1100110011';
x2 = '1111001100';
y0 = '0000000000';
H = '1111011010';
yy = xor(y0-'0',x1-'0');
y1 = gfmul(polyval(yy, 2), bin2dec(H));
polyval(b, 2) converts a vector of bits into the corresponding decimal value. bin2dec(s) converts a char array of bits into the corresponding decimal value. And as you already know, b = s - '0' (and s = char(b + '0')).

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Darsana P M
Darsana P M 2017-10-23
Now the error is: Error using gfmul The input elements must be binary.
Is it because of the input? Actually the input when i check in command window is yy =
Columns 1 through 9
1 1 0 0 1 1 0 0 1
Column 10
1
And x1 =
1100110011
So the inputs are still different. What change must be done?
Darsana P M
Darsana P M 2017-10-24
Actually now i understood the problem, in the above code:
clc;
clear all;
close all;
x1={'1' '1' '0' '0' '1' '1' '0' '0' '1' '1'};
X=cell2mat(x1);
x2={'0' '0' '0' '0' '0' '0' '0' '0' '0' '0'};
XX=cell2mat(x2);
yy= xor(X-'0',XX-'1');
y1 = gfconv(yy, [1 1 1 1 0 1 1 0 1 0],2);
In this line: y1 = gfconv(yy, [1 1 1 1 0 1 1 0 1 0],2); Now i get an error, saying the inputs arenot binary. But if I provide a matrix in place of yy as[1 0 1] y1 = gfconv([1 0 1], [1 1 1 1 0 1 1 0 1 0],2); Now i get an output.
But now my problem is, i want the XORed value to be given as input in gfconv() What should I do?
Guillaume
Guillaume 2017-10-24
xor is a logical operator and hence return logical arrays. Converting that to double should resolve your problem (I don't have the comms toolbox):
y1 = gfconv(double(yy), [1 1 1 1 0 1 1 0 1 0],2);
Note that the doc says that if p is 2, you can use the normal operations conv and .*.
Darsana P M
Darsana P M 2017-10-24
Yes now its correct. Thanks a lot.

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Walter Roberson
Walter Roberson 2017-10-23

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y1 = gfmul(yy, bin2dec(H));

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Darsana P M
Darsana P M 2017-10-23
Thanks. The above error mentioned s not there. But now the error is: Error using gfmul The inputs must have the same size and orientation.
Error in hash1 (line 11) y1 = gfmul(yy, bin2dec(H));
clc;
clear all;
close all;
x1='1100110011';
x2='1111001100';
y0='0000000000';
H ='1111011010'
yy= xor(y0-'0',x1-'0');
y1 = gfmul(yy, bin2dec(H));
Walter Roberson
Walter Roberson 2017-10-23
gfmul needs three inputs, the third of which describes the galois field.

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