How to perform reduced row echelon form on a non-square GF matrix.

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Beneyaz Begum
Beneyaz Begum 2022 年 6 月 22 日
編集済み: Beneyaz Begum 2022 年 6 月 22 日
G(2^8), m=8
mat1 = gf([160 28 233 185 176],8);
result1 = gf([160 28 233 185 176],8)/gf([160],8) % 1 77 174 32 220
[R,jb] = rref([1 77 174 32 220;189 244 80 245 190])
% I use the result from result1 as 1st row and progressively add the next row vector [189 244 80 245 190]
% reduced row echelon
mat2 = [1 77 174 32 220;189 244 80 245 190]
rref works without GF(2^8). But I am unable to perform the reduction using GF(2^8) . Can someone help me to find a solution and how to proceed?
I will be using the result from the above and append another row-vector to the it.

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