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Thanks, but I need it representet in its normal basis? Not its polynomial basis such that I can make shift operations. That is: x in GF(q^m) Represent GF(q^m) over GF(q) in its normal basis like {a, a^q, ..., a^q^(m-1)} Represent x in form of the basis {a, a^q, ..., a^q^(m-1)}, say (v_1, v_2, ... v_m) make shift (v_m, v_1, ... v_m-1) use it to compute further stuff.. Also i might as if Sage has such an operation?

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