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Gaussian periods are used to locate a normal element of the finite field GF(2e) of odd degree e and an
algorithm is presented for the construction of self-dual normal polynomials over GF(2) for any odd degree.
This gives a new constructive proof of the existence of a self-dual basis for odd degree. The use of such
polynomials in the Massey-Omura multiplier improves the efficiency and decreases the complexity of the
multiplie
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