Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$
Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$
We give a classification
of ternary maximal self-orthogonal codes of lengths $21,22$ and $23$.
This completes a classification
of ternary maximal self-orthogonal codes of lengths up to $24$.
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- [1] W. Bosma, J. Cannon, C. Playoust, The Magma algebra system I: The user language, J. Symb.
Comput. 24(3–4) (1997) 235–265.
- [2] J. Conway, V. Pless, N. J. A. Sloane, Self–dual codes over GF(3) and GF(4) of length not exceeding
16, IEEE Trans. Inform. Theory 25(3) (1979) 312–322.
- [3] M. Harada, A. Munemasa, A complete classification of ternary self–dual codes of length 24, J. Combin.
Theory Ser. A 116(5) (2009) 1063–1072.
- [4] M. Harada, A. Munemasa, On the classification of weighing matrices and self–orthogonal codes, J.
Combin. Des. 20(1) (2012) 40–57.
- [5] M. Harada, A. Munemasa, Database of Ternary Maximal Self–Orthogonal Codes, http://www.math.
is.tohoku.ac.jp/~munemasa/research/codes/mso3.htm.
- [6] C. W. H. Lam, L. Thiel, A. Pautasso, On ternary codes generated by Hadamard matrices of order 24,
Congr. Numer. 89 (1992) 7–14.
- [7] J. Leon, V. Pless, N. J. A. Sloane, On ternary self–dual codes of length 24, IEEE Trans. Inform.
Theory 27(2) (1981) 176–180.
- [8] C. L. Mallows, V. Pless, N. J. A. Sloane, Self–dual codes over GF(3), SIAM J. Appl. Math. 31(4)
(1976) 649–666.
- [9] V. Pless, N. J. A. Sloane, H. N. Ward, Ternary codes of minimum weight 6 and the classification of
the self–dual codes of length 20, IEEE Trans. Inform. Theory 26(3) (1980) 305–316.