Araştırma Makalesi

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

Cilt: 5 Sayı: 1 15 Ocak 2018
  • Makoto Araya
  • Masaaki Harada
  • Yuichi Suzuki
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EN

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

Öz

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 $24$.

Anahtar Kelimeler

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

15 Ocak 2018

Gönderilme Tarihi

8 Temmuz 2017

Kabul Tarihi

6 Nisan 2017

Yayımlandığı Sayı

Yıl 2018 Cilt: 5 Sayı: 1

Kaynak Göster

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, ve 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 (01 Ocak 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, ve Y. Suzuki, “Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$”, Journal of Algebra Combinatorics Discrete Structures and Applications, c. 5, sy 1, ss. 1–4, Oca. 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 (01 Ocak 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, vd. “Ternary maximal self-orthogonal codes of lengths $21,22$ and $23$”. Journal of Algebra Combinatorics Discrete Structures and Applications, c. 5, sy 1, Ocak 2018, ss. 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. 01 Ocak 2018;5(1):1-4. doi:10.13069/jacodesmath.327391

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