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Relative finite field extension and element computations

Hallo

I want to perform finite field multiplication in by using operation in one of its sub fields.

f4 = GF(4, 'x')
f16 =  GF(16, 'y')
ff = RelativeFiniteFieldExtension(f16, f4)

Now I am stuck:

  1. How do I map element from ff to a vector over f4
  2. After performing the computation in f4 map the element back in f?

The ideal will be that the mapping to ff just concatenate two element in f4.

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Relative finite field extension and element computations

Hallo

I want to perform finite field multiplication in by using operation in one of its sub fields.

f4 = GF(4, 'x')
f16 =  GF(16, 'y')
ff = RelativeFiniteFieldExtension(f16, f4)

Now I am stuck:

  1. How do I map element from ff to a vector over f4
  2. After performing the computation in f4 map the element back in f?

The ideal will be that the mapping to ff just concatenate two element in f4.