Research Article

Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$

Volume: 5 Number: 1 January 15, 2018
  • Makoto Araya
  • Masaaki Harada
  • Yuichi Suzuki
EN

Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$

Abstract

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 $24$.

Keywords

References

  1. [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. [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. [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. [4] M. Harada, A. Munemasa, On the classification of weighing matrices and self–orthogonal codes, J. Combin. Des. 20(1) (2012) 40–57.
  5. [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. [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. [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. [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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

January 15, 2018

Submission Date

July 8, 2017

Acceptance Date

April 6, 2017

Published in Issue

Year 2018 Volume: 5 Number: 1

APA
Araya, M., Harada, M., & Suzuki, Y. (2018). Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$. Journal of Algebra Combinatorics Discrete Structures and Applications, 5(1), 1-4. https://doi.org/10.13069/jacodesmath.327391
AMA
1.Araya M, Harada M, Suzuki Y. Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2018;5(1):1-4. doi:10.13069/jacodesmath.327391
Chicago
Araya, Makoto, Masaaki Harada, and Yuichi Suzuki. 2018. “Ternary Maximal Self-Orthogonal Codes of Lengths $21,22$ and $23$”. Journal of Algebra Combinatorics Discrete Structures and Applications 5 (1): 1-4. https://doi.org/10.13069/jacodesmath.327391.
EndNote
Araya M, Harada M, Suzuki Y (January 1, 2018) Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$. Journal of Algebra Combinatorics Discrete Structures and Applications 5 1 1–4.
IEEE
[1]M. Araya, M. Harada, and Y. Suzuki, “Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 5, no. 1, pp. 1–4, Jan. 2018, doi: 10.13069/jacodesmath.327391.
ISNAD
Araya, Makoto - Harada, Masaaki - Suzuki, Yuichi. “Ternary Maximal Self-Orthogonal Codes of Lengths $21,22$ and $23$”. Journal of Algebra Combinatorics Discrete Structures and Applications 5/1 (January 1, 2018): 1-4. https://doi.org/10.13069/jacodesmath.327391.
JAMA
1.Araya M, Harada M, Suzuki Y. Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2018;5:1–4.
MLA
Araya, Makoto, et al. “Ternary Maximal Self-Orthogonal Codes of Lengths $21,22$ and $23$”. Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 5, no. 1, Jan. 2018, pp. 1-4, doi:10.13069/jacodesmath.327391.
Vancouver
1.Makoto Araya, Masaaki Harada, Yuichi Suzuki. Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$. Journal of Algebra Combinatorics Discrete Structures and Applications. 2018 Jan. 1;5(1):1-4. doi:10.13069/jacodesmath.327391

Cited By