DOI QR코드

DOI QR Code

AUTOMORPHISM GROUP OF THE TERNARY SELF-DUAL CODE OF LENGTH 8

Kim, Hyun-Jin;Lee, June-Bok

  • Received : 2011.03.14
  • Published : 2012.10.31

Abstract

We study the abstract structure of the automorphism group of the ternary self-dual code of length 8 and give its convenient presentation by generators.

Keywords

automorphism group;ternary self-dual code

References

  1. Thomas W. Hugerford, Algebra, Springer-Verlag, New york, 1974.
  2. C. L. Mallows, V. Pless, and N. J. A. Sloane, Self-dual codes over GF(3), SIAM J. Appl. Math. 21 (1976), no. 4, 649-666.
  3. C. L. Mallows and N. J. A. Sloane, An upper bound for self-dual codes, Inform. and Control 22 (1973), 188-200. https://doi.org/10.1016/S0019-9958(73)90273-8
  4. Y. H. Park, Automorphism group of the ternary tetracode, Korean J. Math. 17 (2009), no. 4, 487-493.
  5. Eric M. Rains and N. J. A. Sloane, Self-dual codes, in: V. S. Pless and W. C. Huffman (Eds.), Handbook of coding theory, Vol. I, II, 177294, North-Holland, Amsterdam, 1998.

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)