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References

  1. Baicheva, T., Bouyukliev, I., Dodunekov, S., Willems, W.: On the [10,5,6]9 Reed-Solomon and Glynn codes. Mathematica Balkanica, New Series, 18, 67–78 (2004)

    MATH  MathSciNet  Google Scholar 

  2. http://www.win.tue.nl/~aeb/voorlincod.html

  3. Feit, W., Thompson, J.G.: Solvability of groups of odd order. Pac. J. Math. 13, 775–1029 (1963)

    MATH  MathSciNet  Google Scholar 

  4. Feit, W.: The representation theory of finite groups. North Holland: Amsterdam 1982

  5. Huffman, W.C.: Codes and groups. Chap. 17 in Handbook of Coding Theory. Elsevier: Amsterdam, 1345–1440 (1998)

  6. Huppert, B., Blackburn, N.: Finite groups II. Springer, Berlin, Heidelberg: New York, 1982

  7. Kovacs, L.G.: The permutation lemma of Richard Brauer. Bull. Lond. Math. Soc. 14, 127–128 (1982)

    MATH  MathSciNet  Google Scholar 

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

  9. MacWilliams, F.J., Odlyzko, A.M., Sloane, N.J.A., Ward, H.N.: Self-dual codes over GF(4). J. Combinatorial Theory, Ser. A 25, 288–318 (1978)

    Article  MathSciNet  Google Scholar 

  10. Martínez-Pérez, Willems, W.: Self-dual codes and modules for finite groups in characteristc two. IEEE Trans. Inform Theory 50(8), 1798–1803 (2004)

    Article  Google Scholar 

  11. Okuyama, T., Tsushima, Y: On a conjecture of P. Landrock. J. Algebra 104, 203–208 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  12. Smid, M.H.M.: Duadic codes. IEEE Trans. Inform. Theory 33(3), 432–433 (1987)

    Article  MathSciNet  Google Scholar 

  13. van Lint, J.H.: Introduction to coding theory. New York, Heidelberg, Berlin: Springer 1982

  14. Ward, H.N.: Quadratic residue codes and divisibility. Chap. 9 in Handbook of Coding Theory. Elsevier: Amsterdam, 827–870 (1998)

  15. Willems, W.: Codierungstheorie. deGruyter, Berlin: New York 1999

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The author was partially supported by BFM2001-1667-C03-01

The main part of this paper was written during stays in Zaragoza in March and September 2004. The author would like to thank the Department of Mathematics for its hospitality and generous support.

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Martínez-Pérez, C., Willems, W. Self-dual extended cyclic codes. AAECC 17, 1–16 (2006). https://doi.org/10.1007/s00200-005-0191-y

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