D. Jungnickel, T. Beth and W. Geiselmann, `A note on orthogonal circulant matrices over finite fields,' Archiv Math., 62(1994), 126--133. Home/Search Document Not in Database Summary Related Articles |
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Open Problems And Conjectures In Finite Fields - Mullen, Shparlinski (1996) (1 citation) (Correct)
....of degree n over F q . 1 Quite recently the authors were delighted to hear that Gavin McNay and Ilene Morgan have nearly settled this conjecture. A complete classification of extensions having self dual normal bases and even an explicit formula for the number of such bases are known, see [32, 42]. Now we raise Problem 10. Classify pairs of q and n for which F q n has a primitive selfdual normal basis over F q . Are there infinitely many such pairs One of several possible approaches to this problem is through the use of Gauss periods in the style of [23] 25] In [23] a necessary and ....
D. Jungnickel, T. Beth and W. Geiselmann, `A note on orthogonal circulant matrices over finite fields,' Archiv Math., 62(1994), 126--133.
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