How to solve this problem " Error using gfmul The input elements must be integers between -Inf and P^M-2 over an extension field"

Question

Muhammad Bilal 2023-1-4

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1888467-how-to-solve-this-problem-error-using-gfmul-the-input-elements-must-be-integers-between-inf-and-p

回答： Walter Roberson 2023-1-11

clc, clear all
m=8;
p=2;
primpoly = [1 0 0 0 1 1 1 0 1];
field=gftuple([-1:p^m-2]',primpoly,p);
gfmul(77,255,field)
Error using gfmul
The input elements must be integers between -Inf and P^M-2 over an extension field.

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Answer 1

Walter Roberson 2023-1-11

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1888467-how-to-solve-this-problem-error-using-gfmul-the-input-elements-must-be-integers-between-inf-and-p#answer_1146740

在 MATLAB Online 中打开

field=gftuple([-1:p^m-2]',primpoly,p);

When you use that form, starting with -1 as the value, you are asking for internal representation as exponents. Each input value later must be one of elements of -1:p^m-2 . In this case with p = 2 and m = 8 that is integers that are members of -1:254 (a total of 256 different values)

gfmul(77,255,field)

255 is not a member of -1:254 and so cannot be specified for multiplication when you are using that representation.