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56 views

Galios Field Theory

$GF(29)^2$ is created by adjoining the root of the irreducible quadratic $p=x^2+7x+15$ to the field $GF(29)$ . The cubic polynomial $q=Y^3+(26x+26)Y^2+(8x+22)Y+13x+23$ is irreducible over this new ...
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408 views

Maple: Galois Field with characteristic 2 GF(2m) - how to solve systems?

Maple: Galois Field with characteristic 2 GF(2m) - how to solve systems (like this given G16: simple solution would look like But I wonder how to solve it automatically in maple using its GF ...
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1answer
281 views

Maple: Galois Field with characteristic 2 $\mathrm{GF}(2^m)$ - how to convert polynomials into binary vectors and vice versa?

In GF($2^m$) each element is a polynomial also it is a binary message. I wonder how to make maple help me convert vectors of maple Bits into GF elements and back? Also it is not the question of ...