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MR1007501 11T30
Jungnickel, Dieter; Menezes, Alfred J.; Vanstone, Scott A. On the number of self-dual bases of ${\rm GF}(q^m)$ over ${\rm GF}(q)$. Proc. Amer. Math. Soc. 109 (1990), no. 1, 23–29.
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