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A note on orthogonal circulant matrices over finite fields

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References

  1. T. Beth undW. Geiselmann, Selbstduale Normalbasen über GF(q). Arch. Math.55, 44–48 (1990).

    Google Scholar 

  2. K. A. Byrd andT. P. Vaughan, Counting and Construction Orthogonal Circulants. J. Combin. Theory Ser. A24, 34–49 (1978).

    Google Scholar 

  3. D.Jungnickel, Finite fields: Structure and arithmetics. Mannheim 1993.

  4. D. Jungnickel, A. J. Menezes andS. A. Vanstone, On the number of selfdual bases of GF(q m) over GF(q). Proc. Amer. Math. Soc.109, 23–29 (1990).

    Google Scholar 

  5. R.Lidl and H.Niederreiter, Introduction to finite fields and their applications. Cambridge 1986.

  6. A. Lempel andM. J. Weinberger, Self-complementary normal bases in finite fields. SIAM J. Discrete Math.1, 193–198 (1988).

    Google Scholar 

  7. F. J. MacWilliams, Orthogonal circulant matrices over finite fields, and how to find them. J. Combin. Theory10, 1–17 (1971).

    Google Scholar 

  8. F. J.MacWilliams and N. J. A.Sloane, The theory of error-correcting codes. Amsterdam 1977.

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Jungnickel, D., Beth, T. & Geiselmann, W. A note on orthogonal circulant matrices over finite fields. Arch. Math 62, 126–133 (1994). https://doi.org/10.1007/BF01198667

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