论文信息 - Characterization of quaternary extremal codes of lengths 18 and 20

Characterization of quaternary extremal codes of lengths 18 and 20

We prove that, up to equivalence, there is a unique extremal quaternary Hermitian self-dual code of length 18, and that there are two inequivalent extremal quaternary Hermitian self-dual codes of length 20.

W. Cary Huffman

[1] N. J. A. Sloane,et al. Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20 , 1980, IEEE Trans. Inf. Theory.

[2] Clement W. H. Lam,et al. There is no (24, 12, 10) self-dual quaternary code , 1990, IEEE Trans. Inf. Theory.

[3] N. J. A. Sloane,et al. Self-dual codes over GF(3) and GF(4) of length not exceeding 16 , 1979, IEEE Trans. Inf. Theory.

[4] N. J. A. Sloane,et al. The automorphism group of an [18, 9, 8] quaternary code , 1990, Discret. Math..

[5] R. Hill,et al. Optimal linear codes over GF(4) , 1994, Discret. Math..

[6] W. Cary Huffman. On extremal self-dual quaternary codes of lengths 18 to 28, I , 1990, IEEE Trans. Inf. Theory.

[7] N. J. A. Sloane,et al. Self-Dual Codes over GF(4) , 1978, J. Comb. Theory, Ser. A.