All self-dual 1\ codes of length 15 or less are known

IEEE Transactions on Information Theory

Volumn 44, Issue 1, 1998, Pages 311-322

  Fields, Joe ^a   Gaborit, Philippe ^a   Leon, Jeffrey S ^a   Pless, Vera ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY; MATRIX ALGEBRA; VECTORS;

CODING THEORY; SELF DUAL CODES;

BINARY CODES;

EID: 0031675533     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.651058     Document Type: Article

References (9)

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2. J.H. Conway and N. J. A. Sloane, "Self-dual codes over the integer modulo 4," J. Comb. Theory Ser. A, 62, pp. 31-415, 1993.
3. J. Fields and V. Pless, "Methods used in the classification of Z4 codes, in Proc. Allerton Conf., 1996, pp. 312-321.
4. P. Gaborit, "Mass formulas for self-dual codes over Z4 and F + uF rings," IEEE Trans. Inform. Theory, vol. 42, pp. 1222-1228, July 1996.
5. J.S. Leon, "Permutation group algorithms based on partitions, I: Theor and algorithms," J. Symb. Comput., vol. 12, pp. 533-583, 1991.
6. __, "Partitions, refinements, and permutation group computations, in Groups and Computation II: DIM ACS Series in Discrete Mathematic and Computer Science, vol. 28. Providence, RI: Amer. Math. Soc. 1997, pp. 123-158.
7. V. Pless, "A classification of self-orthogonal codes over GF(2)," Discr Math., vol. 3, pp. 209-246, 1972.
8. __, "Parents, children, neighbors and the shadow," Contemp. Math. vol. 168, pp. 279-290, 1994.
9. V. Pless, J. Leon, and J. Fields, "All Z4 Type II codes of length 16 ar known," J. Comb. Theory Ser. A, 78, pp. 32-50, 1997.