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Ternary self-dual codes have been classified for lengths up to 20.
C.L. Mallows and N.J.A. Sloane, An upper bound for self-dual codes, Inform. Control
1973
Earlier work this paper cites.
C.L. Mallows, V. Pless and N.J.A. Sloane, Self-dual codes over GF ( 3 ) \mathrm{GF}(3) , SIAM J. Appl. Math
1976
Earlier work this paper cites.
J.H. Conway, V. Pless and N.J.A. Sloane, Self-dual codes over GF ( 3 ) {\mathrm{GF}}(3) and GF ( 4 ) \mathrm{GF}(4) of length not exceeding 16 16 , IEEE Trans. Inform. Theory
1979
Earlier work this paper cites.
V. Pless, N.J.A. Sloane and H.N. Ward, Ternary codes of minimum weight 6 and the classification of length 20, IEEE Trans. Inform. Theory
1980
Earlier work this paper cites.
J.S. Leon, V. Pless and N.J.A. Sloane, On ternary self-dual codes of length 24 24 , IEEE Trans. Inform. Theory
1981
Earlier work this paper cites.
R.E. Borcherds, The Leech lattice and other lattices, Ph.D. Dissertation, Univ. of Cambridge, 1984
1984
Cited alongside, same era.
J.H. Conway and N.J.A. Sloane, A new upper bound for the minimum of an integral lattice of determinant 1 1 , Bull. Amer. Math. Soc. (N.S.)
1990
Cited alongside, same era.
C.W.H. Lam, L. Thiel and A. Pautasso, On ternary codes generated by Hadamard matrices of order 24 24 , Congr. Numer
1992
Cited alongside, same era.
P.S. Montague, A new construction of lattices from codes over GF ( 3 ) \mathrm{GF}(3) , Discrete Math
1994
Cited alongside, same era.
W. Bosma and J. Cannon, Handbook of Magma Functions, Department of Mathematics, University of Sydney, Available online at http://magma.maths.usyd.edu.au/magma/
Cited in the paper.
R. Bacher, Tables de réseaux entiers unimodulaires construits comme k k -voisins de Z n Z^{n} , J. Thé. Nombres Bordeaux
1997
Later among the works it cites.
E. Rains and N.J.A. Sloane, “Self-dual codes,” Handbook of Coding Theory, V.S. Pless and W.C. Huffman (Editors), Elsevier, Amsterdam 1998, pp. 177–294
1998
Later among the works it cites.
J.H. Conway and N.J.A. Sloane, Sphere Packing, Lattices and Groups (3rd ed.)
1999
Later among the works it cites.
M. Harada, M. Kitazume and M. Ozeki, Ternary code construction of unimodular lattices and self-dual codes over ℤ 6 \mathbb{Z}_{6} , J. Algebraic Combin
2002
Later among the works it cites.
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M. Harada and A. Munemasa, Database of Self-Dual Codes, Available online at http://www.math.is.tohoku.ac.jp/~munemasa/ selfdualcodes.htm
Cited in the paper.
M. Harada, A. Munemasa and B. Venkov, Classification of ternary extremal self-dual codes of length 28, (submitted)
Cited in the paper.